100 POINTS+BRAINLIEST 8TH GRADE MATH PT 5: WRITE THE EQUATION OF A LINE- this one was strange because the slope is supposed to be a negative fraction but that never appeared in the answer choices so please explain why I got it wrong thanks!!
Answers
Answer:
[tex]\textsf{b.} \quad 3x+5y=2[/tex]
Step-by-step explanation:
Define the given points:
[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]
Use the slope formula to determine the slope of the line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]
Use the point-slope formula to determine the equation of the line.
[tex]\implies y-y_1=m(x-x_1)[/tex]
Substitute the found slope and point (4, -2):
[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]
[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]
Multiply both sides by 5:
[tex]\implies 5(y+2)=-3(x-4)[/tex]
Expand the brackets:
[tex]\implies 5y+10=-3x+12[/tex]
Add 3x to both sides:
[tex]\implies 5y+10+3x=-3x+12+3x[/tex]
[tex]\implies 3x+5y+10=12[/tex]
Subtract 10 from both sides:
[tex]\implies 3x+5y+10-10=12-10[/tex]
[tex]\implies 3x+5y=2[/tex]
Related Questions
PLEASE HURRY IM TIMED, The perimeter of a rectangular swimming pool is 70 yards. Its length is 25 yards. Which of the following can be used to find the width?
A.
width = (70 yd + 50 yd) ÷ 4
B.
width = (70 yd − 50 yd) ÷ 4
C.
width = (70 yd − 50 yd) ÷ 2
D.
width = (70 yd + 50 yd) ÷ 2
Answers
I thik the option C should be used.
Answer:
C
Step-by-step explanation:
There are 2 sides for length- 25+25=50
70-50=20. Divide that by 2 sides, 10 yards for width
A card is chosen at random from a standard deck.
What is the probability of choosing a red card
that is not a queen?
(A) 1/13
(B) 3/26
(C) 6/13
(D) 51/52
Answers
Answer:
6/13
Step-by-step explanation:
There are 52 cards in a deck, and 26 of them are red. There are 2 red queens in a deck, so the probability of choosing a red card that is not a queen is 24/52 = 6/13.
Pls help I still don’t understand this topic
Answers
Hope it helps you
A counter argument is a set of reasons used to oppose an idea or a claim. So like dogs vs cats, I prefer cats they prefer dogs. “This is why cats are better”, would be my counter argument to, “this is why dogs are better”
A rebuttal is to refute or to contradict an idea or claim. This is usually based off of e wide de and not just opinions unlike the counter argument.
Lastly textual evidence is just evidence you get from the text.
Plotting Equivalent Ratios
Mr. Hendricks is plotting equivalent ratios on a coordinate plane. One of the ordered pairs is (3, 5). Which other ordered pair could he plot?
Answers
on a coordinate plane. One of the ordered
pairs is (3,5) Which other ordered pair
could he plot? O (4, 6) O (6,4) 0 (6, 10) 0
(10, 6)
It is 10:30pm and my brain is not cooperating with me.
Answers
Answer:
[tex]v = 180 {cm}^{3} [/tex]
Step-by-step explanation:
V= lwh or l *w*h
Length: 15
Width: 3
Height:4
V=15*3*4
V=180
Step-by-step explanation:
so, you can't do any basic calculations anymore ? turned into a true couch potato/vegetable ?
the volume of a block is
length × width × height.
similar to the 2 dimensional problem of the area of a rectangle : length × width.
now we have one more dimension. that's all.
V = 15 × 4 × 3 = 180 cm³
Find the quotient. 5 1/4 - 15
a. 7/20
b. 78 3/4
c. 2 6/7
d. 3 1/4
Answers
I believe the question you are asking is what 5 1/4 (otherwise known as 5.25) divided into 15 is.
Simply put, your question is 15 divided by 5.25 (or 5 1/4)
To solve this we can make the fraction 5 1/4 into an improper fraction. This makes the fraction to consist of a numerator and a denominator and no whole numbers. Converting 5 wholes into fourths would mean 5 times 4 which is 20. Therefore 5 converted into 1/4 ‘s is 20 1/4’s. This combined with the other 1/4 in the fraction 5 1/4 makes the improper fraction 21/4.
When you divide fractions you switch the numerator and denominator of the fraction on one side (usually the right side although it doesn’t matter as long as you only switch one fraction of the two) and multiply. 15 times now 4/21 is 60/21.
To simplify this you can divide the numerator and denominator by a common factor. We can start with 3, simplifying the fraction to 20/7. Now as you may notice in the answer choices they are all mixed numbers, consisting of a whole number as well as the numerator and denominator. 20/7 as a mixed number is 2 6/7 as you can have 2 times 7 (14) and then have 6 left so you have 2 wholes and 6/7 away from another whole. This makes C the answer
Can someone answer this question pls- 40 points? plus brainliest if you explain.
1. A light bulb is one-hundredth of an inch thick, with an allowable error of 2%. What is the least allowable thickness of the filament?
A. 0.00098
B. 0.0002
C. 0.0098
D.0.0102
Answers
Answer:
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
We can then calculate the least allowable thickness of the filament as:
The least allowable thickness of the filament is 0.00998 Inches.
Answer:
C. 0.0098
Explanation:
one-hundredth of an inch: 1/100 ≈ 0.01 (inch)
Upper-bound (maximum error):
= 0.01 × (100% + 2%)
= 0.01 × 102%
= 0.0102 inches
Lower-bound (minimum error):
= 0.01 × (100% - 2%)
= 0.01 × 98%
= 0.0098 inches
Hence, the greatest allowable thickness of filament is 0.0102 inches and mostly the least allowable thickness is 0.0098 inches, which is the answer.
The coordinates of the points A and Bare (2,5) and (-1,5) respectively. Find
the equation of the line AB
Answers
Answer:
slope:
5 - 5 / 2 - (-1) = 0
Thus, the equation of the line is y = 5
3 friends shared 48 pineapples equally among themselves. One of the friends sold all his pineapple each at $5 how much did he get from selling the pineapples?
Answers
Answer: $80
Step-by-step explanation:
Step 1: Find how much each person got
48 pineapples shared amongst 3 people
48÷3= 16 pineapples each
Step 2: Find how much he earned
16 pineapples for $5 each
Total money made: 16x5= 80
$80 in all selling his share of the pineapples
hope this helps!!
The total amount of money the friend made from selling his pineapples is $80
How much did he get from selling the pineapples?Total pineapples = 48
Total friends = 3
Number of pineapples each friend takes = Total pineapples / Total friends
= 48/3
= 16 pineapples per friend
Cost of each pineapple = $5
Total amount the friend made from selling his pineapples = Cost of each pineapple × Number of pineapples each friend takes
= $5 × 16
=$80
Hence, the friend made $80 from selling his pineapples.
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Copy the problems onto your paper, mark the givens and prove the statements asked.
CN=WN, ∠C≅∠W
Prove RN=ON
Answers
The statements and reasons for the proof are:
CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]What is the CPCTC and ASA Congruence Theorem?When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.
The statement for the proof along with the reasons in bracket are:
CN ≅ WN [given]∠C ≅ ∠W [given]m∠CNR ≅ ∠WNO [vertical angles theorem]ΔCNR ≅ ΔWNO [ASA theorem]RN = ON [CPCTC]Learn more about the CPCTC theorem on:
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PLEASE HELP QUICK!
A pencil cup is shaped like a right rectangular prism. It has a base area of 9 square inches and a height of 312 inches.
What is the volume of the pencil cup?
1212 in³
1534 in³
2114 in³
3112 in³
Answers
Answer:
i got 2808 in3 which wasn't on the list and i was extremely confused, i redid the problem multiple times and got the same answer, i used a calculator AND searched of the web, it still gave me the same answer, if those are the only options something might be wrong, the answer should be 2808 in3.
(Used the volume formula)
HELP PLEASE!!!!!!!!!!!!!!!!!!!! I NEED IT ASAP!!!!!!!!!
Answers
x = 25
HELP ASAP!!!!!!!!!!!!!
Answers
Answer:
34 (looking at the image im kinda unsure of my answer cuz 4*34=136 and that doesn't look like 136)
Step-by-step explanation:
angle TSU = angle PSR = 4x
from that we know that PSQ=x
so then we know PQS=180-2x
180-2x+68=180
2x=68
x=34
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: 60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)
also daM, that's a lot of calls
Step-by-step explanation:
Answer: 60 local calls bcz you remove the other 2 charges then divide by .25
Step-by-step explanation:
What is the relationship between x and y?
Oy and x stay constant
Oy increases as x increases
Oy decreases as x increases
Oy stays constant as x increases
Answers
John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its width. He will spend $1,584 on fencing for the field at a cost of $4.80 per meter. He also needs to buy sweetgrass seed to plant in the field. The seed costs $3.98 per bag and each bag covers 460 square meters. If John has $1,600, is this enough money to purchase the fence and all the seeds needed to plant in this field?
Answers
Answer: The total money invested in the field will be $1,623.80
Step-by-step explanation:
step 1
Find the dimensions of the field
Let
x -----> the length of the field
y -----> the width of the field
p=2(x+y)
p(4.80)=1,584
p=330m
we know that
The perimeter of the field is equal to
so
330=2(x+y)----> equation A
x=4y-10 ------> equation B
substitute equation B in equation A and solve for y
330=2(4y-10+y)
165=(5y-10)
5y=165+10
y+35
Find the value of x
x=4(35)-10+130
therefore
The length of the field is 130 meters and the width of the field is 35 meters
step 2
Find the area of the field
The area of the field is
A=xy
substitute
A=(130)(35)=4,550m2
step 3
Find the number of bags of seed
Divide the area by 460
4,550/460=9.89 bags
Round up to the nearest whole number
9.89 bags=10 bags
step 4
Find the cost of the seed
(10 )(3.98)=$19.8
step 5
Find the total money invested in the field
1,584+$39.8=$1,623.80
Answer:
Step-by-step explanation:
Step-by-step explanation:
step 1
Find the dimensions of the field
Let
x -----> the length of the field
y -----> the width of the field
p=2(x+y)
p(4.80)=1,584
p=330m
we know that
The perimeter of the field is equal to
so
330=2(x+y)----> equation A
x=4y-10 ------> equation B
substitute equation B in equation A and solve for y
330=2(4y-10+y)
165=(5y-10)
5y=165+10
y+35
Find the value of x
x=4(35)-10+130
therefore
The length of the field is 130 meters and the width of the field is 35 meters
step 2
Find the area of the field
The area of the field is
A=xy
substitute
A=(130)(35)=4,550m2
step 3
Find the number of bags of seed
Divide the area by 460
4,550/460=9.89 bags
Round up to the nearest whole number
9.89 bags=10 bags
step 4
Find the cost of the seed
(10 )(3.98)=$19.8
step 5
Find the total money invested in the field
1,584+$39.8=$1,623.80
Find the area
of the figure.
Answers
Answer:
first the triangle
t area=b x h ÷2
=(5ft x 10.5ft)÷2
=26.25ft sq unit
second the rectangle
r area=L × b
=9ft × 7.5ft
=67.5ft sq unit
last the triangle
t area= b×h÷2
=(9ft×4.5ft)÷2
=20.25ft sq unit
Total area= 26.25ft+65.5ft+20.25ft =112ft sq unitAnswer:
110.25 ft^2
Step-by-step explanation:
We can find the area of the figure by adding up the areas of three different shapes.
1) The right triangle
The formula for finding the area of a right triangle is: Base x Height x 1/2
The base in the right triable is 5 and the height is 9.
--> 5 x 9 x 1/2
--> 45/2
--> 22.5
2) The rectangle
The formula for finding the area of a rectangle is: Base x Height
The base is 7.5 and the height is 9.
--> 7.5 x 9
--> 67.5
3) The Isosceles Triangle (On the very right)
The formula for finding the area of a right triangle is: Base x Height x 1/2
The base of the triangle is 9, and the height is 4.5.
--> 9 x 4.5 x 1/2
--> 40.5/2
--> 20.25
Now that we know the areas of separate shapes, all we need to do is add them up!
22.5 + 67.5 + 20.25
= 110.25.
The area of the figure is 110.25 ft^2
Maybe that I'm wrong, Only one way to find out.
There were 35 students in a school. 20 of the students passed a test. The rest were shared equally among 3 teachers for extra classes. How many students did each teacher receive?
Answers
Answer:
5 students
Step-by-step explanation:
35-20=15
15/3=5
Answer:
35 kids 20 students pass the test 35 -20 = 15 divided by 3 =5 students per teacher.
Step-by-step explanation: hope this helps can I be brainlyest. This is a bunny /\__/\
| * . * |
Is this correct?
A boy earned $50. He saved $42 and used the rest to buy some text books. How much was each text book if he bought 4 texts books
Answers
$8 / 4 = 2
The boy bought 4 textbooks costing $2 each!
Hope this helps!
Answer:
each book was 2 dollars
Explanation:
boy earned $50 he saved 42 dollars and used the rest ($8) to buy textbooks and he bought 4 text books that means each textbook is 2 dollars how (8÷4=2) .
hope it helps and Is what ur looking for.
please help me with this math question Graph this line using the slope and y-intercept:
Answers
Answer:
(8,1) (15,2) (22,3) (29,4) (36,5) (43,6)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation y=7x+1 is written in slope intercept form. That would be:
y=mx+b
m is the slope
b is the y intercept, or where the line first is seen on the y axis.
Because b=1, the y intercept is 1.
Because m=7, the slope is 7.
STEP 1: GRAPH THE Y INTERCEPT.
Since b=1, the line crosses the y intercept when y=1. So graph y=1 on the coordinate plane.
STEP 2: GRAPH THE SLOPE
Do this by going up 7, then right 1. Because 7 is a positive number, you go up.
hope this helps !!! brainliest would be appreciated :D
The area of the garden was 2¾yd². If the length is 1 ½ yd, find
the width.
Answers
Answer:
11/6 or 1 5/6yards
Step-by-step explanation:
Area = Length x Width
2 3/4 = 1 1/2 w
11/4 = 3/2w to change 2 3/4 into an improper fraction see this as 2 wholes plus 3/4. Another name for 2 wholes is 8/4 then add the 3/4. 8/4 + 3/4 is 11/4.
Do the same for 1 1/2 which is 1 + 1/2 change 1 into 2/2 and add it to 1/2 which would be 3/2.
Now solve for x
(2/3) (11/4) = (3/2) (2/3) w when I multiply 3/2 by its reciprocal of 2/3, I get the number 1 and 1 times w is just w.
22/12 =w. I just multiplies the tops with the bottoms. Now, divide the top and the bottom by 2 and you end up with 11/6. If I divide 11 by 6, it will go into 11 one time with 5 left over. The denominator remains 6.
Answer:
Step-by-step explanation:
The area A of a rectangle of length L and width W is A = L*W. Solving this for W, we get A/L.
Substituting 2 3/4 yd^2 for A and 1 1/2 yd for L, we get:
W = (2 3/4 yd)^2 / (1 1/2 yd)
This is equivalent to (11/4 yd^2 divided by (6/4 yd), or 11/6 yd.
The width of this garden is 11/6 yard, or 1 5/6 yard.
PLEASE: Find The Ending Balence
1. $939 at 8% for 6 years
2. $823 at 3% for 9 years
3. $269 at 1# for 3 years
Answers
Using exponential functions, the ending balances are given as follows:
1. $1,490.07.
2. $1,073.83.
3. $358.04.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.Item a:
The parameters are:
A(0) = 939, r = 0.08, t = 6.
Hence the balance is:
[tex]A(6) = 939(1.08)^6 = 1490.07[/tex]
Item b:
The parameters are:
A(0) = 823, r = 0.03, t = 9.
Hence the balance is:
[tex]A(9) = 823(1.03)^9 = 1073.83[/tex]
Item c:
The parameters are:
A(0) = 269, r = 0.1, t = 3.
Hence the balance is:
[tex]A(9) = 269(1.1)^3 = 358.04[/tex]
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what is the simple intrest on a loan of $3,500 at 3.5% over 5 years?
Answers
The equation 4x2 + 8x + 15 = 0 is being rewritten in vertex form.
Fill in the missing step.
Given 4x2 + 8x + 15 = 0
Step 1 4(x2 + 2x ___) + 15 ___ = 0
Step 2 blank
Step 3 4(x + 1)2 + 11 = 0
A:4(x2 + 2x + 1) + 15 − 4 = 0
B: 4(x2 + 2x + 1) + 15 − 1 = 0
c: 4(x2 + 2x + 2) + 15 − 2 = 0
D: 4(x2 + 2x + 4) + 15 − 4 = 0
Answers
the point of M ( a, 4 ) is the midpoint of the line segment with endpoint at A(1,3) and B(5,b). Find the value of a and b
Answers
The value of a and b from the coordinates are 3 and 5 respectively
Midpoint of coordinatesThe formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
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Evelyn bought needles, balls of yarn, stitch holders, and patterns for her knitting kit. she bought 3 times as any stitch holders as patterns. 7 less needles than stitch holder, and 2 balls of yarn. She paid $5.25 for each pattern, $0.50 for each stitch holder, $3.25 for each needle, and $7.50 for each ball of yarn. How many of each did Evelyn purchase if she paid $58.25
Answers
Answer:
answer is going to be
4 patterns
5 needles
2 balls of yarn
and 12 stitch holders
hope this helped u bro
How do you figure out if a shape is similar or not using rectangle diagnols?
Answers
Answer:
How do you figure out if a shape is similar or not using rectangle diagnols?
Assuming that diagnols = diagonal, it is not possible to define a similarity relationship without measuring at least one side.
PLSSS HELP IM STILL BEING TIMEDD
Answers
The measure of angle 5 is 68° because this problem is under the category of “parallels cut by a transversal.” Under these circumstances, angles 1 and 5 are corresponding to each other. Corresponding angles are congruent, which means that they have the same measurements. This would mean that angles 1 and 5 both equal 68°.
Your final answer: B is your final answer. Since 1 and 5 are corresponding angles, they both equal 68°. If you need help, let me know and I will gladly assist you.
Answer:
68°
Step-by-step explanation:
corresponding angles are the same
A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.
Determine the zeros, and explain what these values mean in the context of the problem.
x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships when no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships when no profit is made.
Answers
Answer: the zeros are at (6,0) and (12,0) where no profit is made.
option D
Step-by-step explanation: you can find the zeros ( the x-intercepts), by either graphing out the function or factoring it.
in this scenario, there is no y increase, which means 0 profit.
HELP NEEDED ASAP PLEASE !!!!!!!!!!
Divide 17.9 by 2.38. Round your answer to the nearest tenth.
0.7
7.5
0.8
7.6
Answers
Answer:
7.5
Step-by-step explanation:
You divide 17.9 by 2.38. That would give you 7.521008403361345.
Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.
Hope that helps!! Have an amazing day!!
Rounding to the nearest tenth means you need to round until you get a number which is right after the decimal point. The answer would be 7.5 since the 2 isn’t enough to change 5 to 6. Hope this helps and good luck in the future