The equation of the line in slope-intercept form and standard form that passes through the line are y = -5 / 6x - 43 / 6 and 5x + 6y = -43 respectively.
Slope intercept equationThe Slope intercept equation is use to represent a linear table or graph. Therefore, the formula is represented as follows
y = mx + b
where
m = slope
b = y-intercept
Hence,
(-5, -3)(1, -8)
m = -8 + 3 / 1 + 5 = - 5 / 6
Using (1, -8) let's find b
-8 = -5 / 6 (1) + b
-8 + 5 / 6 = b
-48 + 5/6 = b
b = -43 / 6
Therefore, the slope intercept equation is y = -5 / 6x - 43 / 6
The equation in standard form is represented as Ax + By = C. Therefore,
y + 5 / 6 x = - 43/6
5x + 6y = -43
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9
There were 2,500 sales at a grocery store
in one day. Of these sales, 50% happened
before noon, 15% happened between
noon and 4 PM, and the rest happened
after 4 PM.
How many sales happened after 4 PM?
A 875
B 375
C 450
D 625
Answer:
The answer is 875.
Step-by-step explanation:
Based on the given conditions, formulate: 2500x(1-15%-50%)
Calculate the sum or difference: 2500x(0.85-0.5)
Calculate the sum or difference: 2500xx0.35
Calculate the product or quotient: 875
get the result: 875
Answer: 875
PLEASE HELP!!!!!!!!!!!!!!
Answer:
[tex]\frac{4}{5}[/tex] (4/5)
just fill out 4 in the blank
Step-by-step explanation:
1. Equal the denominator for 1/4
End result=[tex]\frac{11}{20}[/tex]
So all the other ones have to be made according to this
20/4=5
1x5=5
[tex]\frac{1}{4}[/tex] will now be [tex]\frac{5}{20}[/tex]
2. Figure out what ?/5 will be
If this number is getting subtracted by [tex]\frac{5}{20}[/tex] then, we have to add [tex]\frac{11}{20}[/tex] by [tex]\frac{5}{20}[/tex] to get our answer.
[tex]\frac{11}{20} +\frac{5}{20} =\frac{16}{20}[/tex]
this means that when [tex]\frac{16}{20}[/tex] gets subtracted by [tex]\frac{5}{20}[/tex] it will equal [tex]\frac{11}{20}[/tex]
3. Simplify 16/20 to it's lowest terms
5x4=20
20/5=4
so, each part ([tex]\frac{1}{5}[/tex]) worth's 4
20-4=16
So that means, that the simplest for for this is [tex]\frac{4}{5}[/tex]
So hence, your answer is 4/5just fill out 4 in the blank
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Answer:
4
Step-by-step explanation:
Let the blank = x
Thus,
[tex]\frac{x}{5}-\frac{1}{4}=\frac{11}{20}[/tex]
[tex]\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}[/tex]
[tex]\frac{x}{5}-\frac{1}{4}+\frac{1}{4}=\frac{11}{20}+\frac{1}{4}[/tex]
[tex]\mathrm{simplify}[/tex]
[tex]\frac{x}{5}=\frac{4}{5}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}5[/tex]
[tex]\frac{5x}{5}=\frac{4\cdot \:5}{5}[/tex]
[tex]\mathrm{simplify}[/tex]
x = 4
Hence, the blank = 4
Equation = [tex]\frac{4}{5}-\frac{1}{5}=\frac{11}{20}[/tex]
[RevyBreeze]
Graph the equation y=-X – 2 using the intercepts.
Answer:
y intercept = (0,-2)
x intercept = (-2,0)
Step-by-step explanation:
For y intercept, plug 0 for x
y = (0) - 2
y = -2
y intercept = -2
For x intercept, plug 0 for y
(0) = -x - 2
Move -2 to other side
-x = 2
Since x is negitave, make 2 negitave
x = -2
x intercept = -2
What is the value of x? The figure is not drawn to scale. Show work
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answer:
1,400
Step-by-step explanation:
700 divided by 6 equals 116.66 and 116.66 times 12 is 1,399.92. But you have to round the decimal to make it accurate which you'll get 1,400.
Hope this helps.
Write the expression as a product.
25-(a + 7)^2
[tex]25 - ({a + 7})^{2} = [/tex]
[tex](5 + (a + 7))(5 - (a + 7)) = [/tex]
[tex](a + 12)( - a - 2)[/tex]
Have a great day ♡
Pearl and Jason are working on homework together when Pearl says, "got x = 6 and x=13 as the solutions, but it looks like you got something different. Which solutions are right?
"I found a mistake," says Jason. Where did Pearl make a mistake? Explain why it is incorrect. Pearl's work is shown below.
The mistake made by pearl from solving the quadratic equation is that he didn't equate the equation to zero(0) before solving
How to solve quadratic equation?x² - 3x - 10 = 8
x² - 3x - 10 - 8 = 0
x² - 3x - 18 = 0
x² - 6x + 3x - 18 = 0
x (x - 6) + 3(x - 6) = 0
(x + 3) (x - 6) = 0
x + 3 = 0. x - 6 = 0
x = -3. x = 6
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please help :(
I'll give brainliest!
Answer:
58km
Step-by-step explanation:
perimeter of rectangle= 2x(l+b)
2x(28+1)
2x29=58
What is the expected probability of spinning a 1 on the following spinner?
a spinner with 5 equal sections labeled 1 through 5.
enter your answer as a fraction, like this: 42/53
Answer:
1/5
Step-by-step explanation:
James has 16 balloons. 1/4 of his balloons are red. How many red balloons does he have? Half of his red ballons pop after 10 minutes of playing with them. How many of his red ballons pop?
How many solutions does each polynomial have?
Answer:
Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.
Step-by-step explanation:
Combine like terms to create an equivalent expression87 m+ 109 −2m− 53
Cai tried to prove that \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J. Statement Reason 1 FG=HI=6FG=HI=6F, G, equals, H, I, equals, 6 Given 2 FH=HJ=4FH=HJ=4F, H, equals, H, J, equals, 4 Given 3 \overline{FG} \parallel \overline{HI} FG ∥ HI start overline, F, G, end overline, \parallel, start overline, H, I, end overline Given 4 \angle HFG\cong\angle JHI∠HFG≅∠JHIangle, H, F, G, \cong, angle, J, H, I When a transversal crosses parallel lines, alternate interior angles are congruent. 5 \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J Side-angle-side congruence What is the first error Cai made in his proof? Choose 1 answer: Choose 1 answer: (Choice A) A Cai used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Cai only established some of the necessary conditions for a congruence criterion. (Choice C) C Cai established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Cai used a criterion that does not guarantee congruence
<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
What are Corresponding Angles?When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.
In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.
Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
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Answer:Answer is A
Step-by-step explanation:
just did it on khan academy
Noah says, "If I try to write ten to the zero power expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answer:
No, I do not agree. This is because 10⁰ is equivalent to 1.
Step-by-step explanation:
any number to the power of 0 is equal to 1
1. Find the Area of the Sector:
2. Find the length of the missing side:
1. Area of sector is 14.14 sq.m
2. Length of the missing side is 10 cm
Step-by-step explanation:1.)Using formula:
Area of sector = θ/360° × π r²Where,
θ = 45° Radius (r) = 6mSubstituting the required values:
→ Area = 45°/360° × 22/7 × (6)²
→ Area = 0.125 × 22 × 36/7
→ Area = 2.75 × 36/7
→ Area = 99/7
→ Area = 14.14 sq.m
2.)In given right angled traingle:
Perpendicular = 6 cmBase = 8 cmHypotenuse = ?Using Pythagoras theorem,
(H)² = (B)² + (P)²where,
H is hypotenuseB is Base P is perpendicularSubstituting the required values:
→ (Hypotenuse)² = (8)² + (6)²
→ (Hypotenuse)² = 64 + 36
→ (Hypotenuse)² = 100
→ Hypotenuse = √100
→ Hypotenuse = 10 cm
Hence,
Hypotenuse of Traingle is 10 cmNeed help for points
what is the value of x
Hey there!
Assuming #1 ….
x + 7x + x = 180°
REWORD
1x + 7x + 1x = 180°
COMBINE the LIKE TERMS
(1x + 7x + 1x) = 180°
8x + 1x = 180°
9x = 180°
DIVIDE 9 to BOTH SIDES
9x/9 = 180/9
CANCEL out: 9/9 because it equal 1
KEEP: 180/9 because it give you the x-value
NEW EQUATION: x = 180/9
SIMPLIFY IT!
x = 20
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Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;
[tex]{:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf 9x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}[/tex]
This is the required answer
can someone help me with this
If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?
Answer:
Step-by-step explanation:
This is kinda confusing give me a second
2x+4=8
Find x and show work.
Answer:
X is 2 2+2= 4 plus 4 = 8
Step-by-step explanation:
Hoped this helped
Answer:
x = 2
explanation:
2x + 4 = 8
subtract 4 from both sides
2x + 4 -4 = 8 -4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
Recheck:
2x + 4 = 8
2(2) + 4 = 8
8 = 8
Hence proved the solution is correct.
Answer this question for points
Answer:
102 or the 12th number considering 38 is the 4th
What is the center of the data in the dot plot? Number of Science Homework Assignments Each Week A dot plot going from 0 to 5. 0 has 3 dots, 1 has 2 dots, 2 has 5 dots, 3 has 4 dots, 4 has 1 dot, and 5 has 6 dots. 2 2. 5 3 2005.
The center of the data in the dot plot comes to be 3.
0 has 3 dots
1 has 2 dots
2 has 5 dots
3 has 4 dots
4 has 1 dot
5 has 6 dots.
Let us arrange these data in ascending order
0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5
Number of observations = 21
What is the median?The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.
So, the median will be the middle data = 11th data
11th data = 3 so median =3
Hence, the center of the data in the dot plot comes to be 3.
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ILL MARK BRAINILEST !! 80 POINTS
Question 1: 11 pts
Find the vertex of the parabola y = x2 - 10x + 16.
A. (-5,91)
B. (-9,5)
C. (5,-9)
D. (8,0) and (2,0)
[tex]\\ \rm\rightarrowtail y=x^2-10x+16[/tex]
[tex]\\ \rm\rightarrowtail y=x^2-10x+16+9-9[/tex]
[tex]\\ \rm\rightarrowtail y=x^2-10x+25-9[/tex]
[tex]\\ \rm\rightarrowtail y=(x-5)^2-9[/tex]
Vertex form
y=a(x-h)^2+kSo
vertex:-
(h,k)=(5,-9)What should be completed first when simplifying 2(x − 3) + 6(4x + 1)?
Combine like terms.
Subtract x − 3.
Distribute the 2 to the x − 3 and the 6 to the 4x + 1.
None of these choices are correct.
Answer:
Distribute the 2 to the z-3 and the 6 to the 4x+1
Step-by-step explanation:
I'm not sure why it says none of the choices are correct. According to the distributive property, which is followed in any similar algebraic equation. You distribute values first and then combine like terms and go on from there. Hope this helps.
Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps
Answer:
794 stamps in his collection
Step-by-step explanation:
If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2
397(2) =794 stamps
Answer:794
Step-by-step explanation:
397x2=794
Help
question on the image.
Answer:
no
Step-by-step explanation:
We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:
hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)
= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35
= 17 22/35 . . . . cm
We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.
17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm
The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.
The pot will not fit into the plant pot holder.
_____
You can use your calculator to find the free space around the pot by computing ...
20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm
Negative space means the pot is larger than the hole.
8. Michelle has 0.5 pound of red peppers
and 0.50 pound of green peppers.
Which number sentence correctly
compares the amounts of red and
green peppers that Michelle has?
A 0.5 = 0.50
B 0.5 > 0.50
C 0.50 > 0.5
D 0.50 <0.5
Answer:
A 0.5 = 0.50
Step-by-step explanation:
The amount of green and red papers are actually equal because green paper is 0.50 and red is 0.5
These two are equal.
In a decimal it doesn't matter if you but 0 after the number, it matters when you but it before the number, because then the value will decrease
For the below expressions, write an equivalent expression that
uses only addition.
1a.) 20 - 9 + 8-7
1b.) 4x -7y -52 + 6
1c.) -3% -8y - 4 - 8/72
Answer:
So this is pretty much endless but here are a few examples:
3+3+3+3
4x+(-7y) + (-46)
-3% + (-8y) + (-4) + (-0.1111)
Step-by-step explanation:
Hope this helps have a great rest of your day
Help me on this question please!
[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]
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[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]
[tex]x+18-6x=-18 [/tex]
[tex]-5x+18=-18 [/tex]
[tex]-5x=-18-18 [/tex]
[tex]-5x=-36 [/tex]
[tex]x=\frac{-36}{-5} [/tex]
[tex]x=\frac{36}{5} [/tex]
[tex]= 7 \frac{1}{5}[/tex]
[tex]= 7.2[/tex]
So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]
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Step-by-step explanation:
#Carry on learning
Can someone explain to me how to use square root? How do I solve it? How do I use it? I'm not sure the right way to use square root and I have testing soon, so I wanted to know how to use it beforehand.
Answer: a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16
The square of any number is always a positive number, so every number has two square roots, one of a positive value, and one of a negative value. For example, both 2 and -2 are square roots of 4.