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inna [77]
3 years ago
10

Write an equation in slope-intercept form of the line shown.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
3 0

Answer:

y = 5/3x + 20/3

Step-by-step explanation:

Points on the graph: ( -4, 0) and (1, -5)

Slope:

m=(y2-y1)/(x2-x1)

m=(-5-0)/(1-4)

m=(-5)/(-3)

m=5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 0 = 5/3(x + 4)

y = 5/3x + 20/3

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The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
3 years ago
Bonjour à tous, pouvez vous m'aider à trouver la réponse pour cette "question ouverte" svp?
AlekseyPX

La solution:

625 cm^2.

Explication étape par étape:

Si la forme est rectangulaire, elle aura la plus grande superficie possible quand la longueur équivaut à la largeur. Pour avoir un périmètre de 100 cm, cela signifie que chaque côté doit faire 25 cm.

La superficie serait alors de 25 cm x 25 cm = 625 cm^2.

8 0
2 years ago
A single six-sided die is rolled twice. What is the probability of rolling an odd number on the first roll and an even number on
viktelen [127]
1/2 I’m just doing this answer because I need to finish setting up the account so it’s wrong my bad
5 0
2 years ago
Read 2 more answers
I need help seeing what I did wrong
Makovka662 [10]

Answer:  The two roots are x = 3/2 and x = -2

=========================================================

Explanation:

You have the right idea so far. But the two numbers should be 3 and -4 since

  • 3*(-4) = -12
  • 3+(-4) = -1

The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

---------

Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x

So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

We have the factor 2x-3 along the left side.

---------

The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

  • 2x-3 = 0 solves to x = 3/2 = 1.5
  • -x-2 = 0 solves to x = -2

The two roots are x = 3/2 and x = -2

8 0
3 years ago
If the area of a trapezoid is 234 square units what is the value of x
olganol [36]
h=9
A=((a+b)/2)h
234=((32+20)/2)h
234=(52/2)h
234=26h
9=h

6 0
3 years ago
Read 2 more answers
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