Answers
Answer:
y = ⅔x - 5
Step-by-step explanation:
To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.
Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.
Rewrite 2x - 3y = 24 in slope-intercept form.
Thus:
2x - 3y = 24
-3y = -2x + 24
y = ⅔x - 12
The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.
To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Thus:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
y + 7 = ⅔x + 2
y = ⅔x + 2 - 7
y = ⅔x - 5
Related Questions
Construct an equilateral triangle of side 7cm and construct circumcircle.
Can anyone help me with this , I have to sumbit my PROJECT.
THanks
Answers
Answer:
To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.
Step-by-step explanation:
With a ruler and a pencil, draw a 7cm line.With a compass set to a radius of 7cm draw an arc centered around the right end of the line.With the same compass, still at 7cm, draw an arc centered around the left end of the line.These two arcs will intersect on either side of the line (you only need one side, so you only need a small arc in the right place, roughly where you think the third point if the triangle is.Where those arcs intersect is the third point on your triangle. Mark that, and then trace two lines from that point to either end of the line segment you started with.You now have an equilateral triangle with 7cm sides. Next you need to draw the circle
Measure the halfway point on two of your three lines.Draw a line from that each of those halfway points to the opposite corner. The new lines you're drawing will be perpendicular to the edge your measuring against.You have now drawn two line segments, and they intersect in the center of the circle. Now take your compass and set its radius to the distance from that center point to one of the three corner points.Centered on that middle point, trace a circle with the selected radius.And you're done!
Determine the solution of the equation 4y - 5= 7.
A) 4
B) 3
C)
Answers
Answer:
B) 3
Step-by-step explanation:
add 5 to both sides, 4x=12
divide both sides by 4, x=3
Answer:
The answer is B) 3
Step-by-step explanation:
You add 5 to 7 to move it from one side to the other
You should then have 4y=12
Then to solve for why you divide 12 by 4
You will get y=3
So your answer is 3
Factor the algebraic expression 28a + 24
Answers
Answer:
4(7a+6)
Step-by-step explanation:
Factor 28a+24
28a+24
=4(7a+6)
Solve these two by using factor the polynomial by grouping
Answers
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
What is the slope of the equation y-2= -6(x+6)
Answers
AAAA HEL;P[ PLEASE JHSKJHKDJS
Answers
Answer:
c
Step-by-step explanation:
Answer:
for sure the third one i did the test
Step-by-step explanation:
What would be the equivalent discount for this item be?
Answers
Answer:
it's almost $100 and there's $17 off. so 99.99-17 would make the exact cost 82.99
82.99/99.99= 0.8299 so you payed 83% and that would make it so you got a 17% discount.
but if you didn't want to do all the math, you could've just rounded the 99.99 up to 100, and $17 would make it a 17% discount.
PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Pls Explain :)
At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?
Answers
Answer: 221.10
Step-by-step explanation:
Kent has a $20 gift certificate for the
pet store. He chooses 2 angelfish
that each cost $3.45 and 3 clownfish
that each cost $4.82.
If he uses his gift certificate, how
much money will he need to pay?
Answers
Answer:
let a be the number of angles is using the ratio of clownfish we can write the proportion
Step-by-step explanation:
cross multiply Zane divide both sides by 5 so there are 48 Angle Fish
for the Goldfish cross multiply or divide both sides by 4 so there are 36 goldfish
Rory rode his bike a total of 7.75 miles last week. He biked the same distance each of the 5 days he rode. How many miles did Rory ride his bike each day?
Answers
Answer:
Rory rode 1.55 miles each day
Step-by-step explanation:
7.75 divided by 5
A number y minus 12 is no more than −32.
The inequality is
Answers
Answer:
y-12<-32
Step-by-step explanation:
just remember to underline the less than sign
Solving equations
3/4x+2=5
Answers
Answer:
x = 4
Step-by-step explanation:
x in (-oo:+oo)
(3/4)*x+2 = 5 // - 5
(3/4)*x-5+2 = 0
3/4*x-3 = 0 // + 3
3/4*x = 3 // : 3/4
x = 3/3/4
x = 4
This area model shows the quotient of 1/5÷4.
Answers
Answer: 4/5
Step-by-step explanation: 1/5 times 5/1=4/5
In the diagram below
Please help I’ll give brainliest
Answers
Answer:
m<GFA = 110
Step-by-step explanation:
1. ABCD - parallelogram Definition of a parallelogram
(AB ll CD) (AD ll BC)
2. m<B + m<C = 180 Consectuive angles in a
110 + m<C = 180 parallelogram are supplementary
m<C = 70
3. m<GCB = 1/2 m<C Definition of angles bisector
m<GCB = 70
4. m<B = m<D = 110 Opposite angles in a
parrallelogram are congruent
5. m<CDG = 1/2 m<D Defintion of an angle bisector
m<CDG = 55
6. m<GCB+m<CDG+m<CGD=180 Sum of anlges in a triangle (ΔCDG)
70 + 55 + m<CGD = 180
125 + m<CGD = 180
m<CGD = 55
7. m<CGD + m<DGF = 180 Linear pair, supplmentary angles
55 + m<DGF = 180
m<DGF = 125
8. m<C = m<A = 70 Opposite angles in a paralellogram
are congruent
9. m<ADG = 1/2m<D Definiton of an angle bisector
m<ADG = 55
10.m<ADG+m<DFG+m<GFA+m<A=360 Sum of angles in quadrilateral
55 + 125 + m<GFA + 70 = 360 DGFA
m<GFA + 250 = 360
m<GFA = 110
A regular pentagon has sides 2x - 16. What is the perimeter of the pentagon?
Answers
P = 5(2x - 16)
P = 10x - 80
The perimeter is 10x - 80.
Evaluate each expression using the values m = 7, r = 8, and t = 2.
1. 5m - 6
2. 4m + t
3. r/t
4. mt
5. 5r + 2m
6. rm
7. 3m - 5t
8. mr/t
Answers
Answer:
Step-by-step explanation:
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).
PLEASE HELP DUE IN 30 MINUTES :((
Which best describes the effect on the graph of f(x) = 4x+8 if the y-intercept is changed to -3?
Answers
plsss help no spam.
.....................
Answers
Answer:
Third one.
x=6 y=12
Ok!
Answer:
fourth option
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
x + y = 18 → (2)
Substitute y = 2x - 3 into (2)
x + 2x - 3 = 18
3x - 3 = 18 ( add 3 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Substitute x = 7 into (1) for corresponding value of y
y = 2(7) - 3 = 14 - 3 = 11
Solution is x = 7, y = 11
I need help with this proof!
Answers
Answer:
∠B ≅ ∠F ⇒ proved down
Step-by-step explanation:
In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent
Let us use this fact to solve the question
→ In Δs BCD and FED
∵ ∠C and ∠E are right angles
∴ Δs BCD and FED are right triangles ⇒ (1)
∵ D is the mid-point of CE
→ That means point D divides CE into 2 equal parts CD and ED
∴ CD = ED ⇒ (2) legs
∵ BD and DF are the opposite sides to the right angles
∴ BD and DF are the hypotenuses of the triangles
∵ BD ≅ FD ⇒ (3) hypotenuses
→ From (1), (2), (3), and the fact above
∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency
→ As a result of congruency
∴ BC ≅ FE
∴ ∠BDC ≅ ∠FDE
∴ ∠B ≅ ∠F ⇒ proved
y= 2x +3
y= 4x-3
Is(3,9) a solution of the system?
Choose 1 answer:
A: yes
B: no
Answers
B:yes
Explanation:
Label the point 3 would be x and 9 would be y. Substitute these points into the equation were it corresponds.
Y= 2x+3
9=2(3)+3
9=6+3
9=9
Y=4x-3
9=4(3)-3
9=12-3
9=9
Hope this helps!!
Answer:
A: yes :)
Step-by-step explanation:
Please help me.........
Answers
Answer:
5 kilometers per hour
Step-by-step explanation:
look at where the line meets a point. the first line is 1 hr and 5 kilometers. the second one would be 2 hrs and 10 kilometers.
hope this helps!
At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work. At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work. At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work.
Answers
Answer: $70.49
Step-by-step explanation:
Cost of gasoline = $2.75 per gallon
Cost of diesel fuel = $3.02 per gallon.
Since Gabriel needs to purchase 15.2 gallons of gasoline for his truck, the amount spent on gasoline will be:
= 15.2 × $2.75
= $41.80
Since he needs to spend 9.5 gallons of diesel fuel for his tractor, the amount spent on diesel fuel will be:
= 9.5 × $3.02
= $28.69
Total cost spent will be:
= $41.80 + $28.69
= $70.49
WILL GIVE BRAINLIEST AND 100 POINTS FOR FIRST CORRECT ANSWER
MP _____ PK
Choose the relationship symbol to make a true statement.
Answers
Answer:
give the person above brainliest
Step-by-step explanation:
helpppppppppppppppppp
Answers
Answer:
addition
Step-by-step explanation:
if you add the 4 to the -2 you will get x=2 therefore isolating the variable
which calculation and answer show how to convert 9/16 to a decimal
Answers
Answer: 0.5625
Step-by-step explanation:
A is ur answer
h ope it helps!
A 4-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, 100 percent. Column 2 has entries 0.25, 0.25, 0.25, 0.25, 1. Column 3 has entries one-fourth, one-fourth, one-fourth, one-fourth, 1. Column 4 has entries 14, 14, 14, 14, 56.
Which expressions can you use to find 75% of 56? Check all that apply.
0.25 × 56
Three-fourths × 56
0.75 × 56
One-fourth × 56
3 × 14
Answers
Answer:
Three-fourths × 56
0.75 × 56
3 × 14
Step-by-step explanation:
To obtain 75% of 56 ;
Mathematically ;
75% of 56 = 75/100 * 56 = 42 (valid)
= 0.75 * 56 ( valid)
(75/100) * 56 = (3/4) * 56 = 42 (valid)
(75/100) * 56 = (3/4) * 56 = 3 * (56/4) = 3 * 14 = 42 (valid)
0.25 * 56 = 14 ( invalid)
(1/4) * 56 = 14 (invalid
Answer:
3/4
Step-by-step explanation:
Help!!!! I will give brainliest.
Answers
Answer:
Step-by-step explanation:
Well lets try to simplify this.
-3y= -4x +17
y=4/3 x - 17/3
Thus y-int is (0, -17/3)
To solve for x-int, y=0
y=4/3 x - 17/3
0=4/3 x - 17/3
4/3 x = 17/3
x=17/4
Thus x-int is (17/4, 0)
If BC = 3x, CD = 7x, and BD = 10, what is BC?
Answers
Answer:
BC= 3
Step-by-step explanation:
Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information
BC+ CD= BD
3x+ 7x= 10
10x= 10
x= 10/10
x= 1
3x would give 3 (1)= 3
Hence the Line BC = 3
and the line CD= 7
Damien deposited $100 into his savings account. He then deposits $15 three times per month. Write an equation that shows the amount in Damien's savings account after t months
Answers
Answer: 100 + 45t
Step-by-step explanation:
From the question, we are informed that Damien deposited $100 into his savings account and that he then deposits $15 three times per month.
The equation that shows the amount in Damien's savings account after t months will then be:
= $100 + [($15 × 3) × t months]
= $100 + $45t
= 100 + 45t
Damian's teacher told him that the standardized score (z-score) for his science exam, as compared to the exam scores of other students in the course, is 1.50. Which of the following is the best interpretation of this standardized score?
Damian's test score is 150.
Damian's test score is 1.50 standard deviations above the average test score of students in the course.
Damian's test score is 1.50 above the average test score of students in the course.
Damian's test score is 1.50 times the average test score of students in the course.
None of the above gives the correct interpretation.
Answers
Answer:
Damian's test score is 1.50 standard deviations above the average test score of students in the course.
Step-by-step explanation:
Took the test