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Zolol [24]
3 years ago
10

Hi!

Mathematics
1 answer:
solniwko [45]3 years ago
8 0

Answer:

y = 1x - 4

Step-by-step explanation:

You have to solve for the x intercept on the equation

2x-5y=8\\2x-5(0)=8\\2x=8\\x=4\\(4,0)

That is the x intercept for that equation.

Then solve for the y intercept on the equation

4x-3y=12\\4(0)-3y=12\\-3y=12\\y=-4\\(0,-4)

That is the x intercept for that equation.

Use that to find slope for point slope form

\frac{y_{2}-y_{1}}{x_{2}-_{1}} \\\\\frac{-4-0}{0-4} \\\\\frac{-4}{-4} \\\\1

1 is the slope

and slope makes B the y intercept so the equation is

y = 1x - 4

You might be interested in
If triangle ABC is isosceles and triangle DBE is equilateral what is the measure of angle C
luda_lava [24]

Answer:

43°

Step-by-step explanation:

For triangle ABC:

A = C so all we need to do is to calculate the value of B

The measure of angle ABD is given as 17° so the measure of angle EBC must be 17° as well

Since DBE is an equilateral triangle angle is DBE = 60°

17 + 17 + 60 = 94 this is the measure of angle B

The sum of interior angles in a triangle is equal to 180

A + B + C = 180

A + C + 94 = 180

A + C = 86 since A = C we divide 86 by 2

C = 43°

6 0
2 years ago
The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.
gavmur [86]

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

A_{circle} = \pi r^2

\pi r^2 = 46

r^2 = \dfrac{46}{\pi}

r = \sqrt{\dfrac{46}{\pi}}

r = 3.83 ~in.

surface area of sphere

SA = 4 \pi r^2

SA = 4 \times \pi \times (3.83)^2

SA = 184~in.^2

7 0
3 years ago
On your first draw, what is the probability of drawing a red card, without looking, from a shuffled deck containing 6 red cards,
Elis [28]
First divide 6/(6+6+8) =0.3
Then multiple it by 100 to get the probability percentage 30%
5 0
2 years ago
the gross income is $215 per week the deductions are $15.16,$29.33,2%,1%,and 3% what is the net income
Naddik [55]
State tax = 2% of $215 = 0.02 x $215 = $4.30
city tax = 1% of $215 = 0.01 x $215 = $2.15
retirement fund = 3% of $215 = 0.03 x $215 = $6.45

Total deductions = $15.16 + $29.33 + $4.30 + $2.15 + $6.45 = $57.39

Net income = $215 - $57.39 = $157.61
8 0
3 years ago
True or False: A function must have a different output for each input.
Lesechka [4]
True : A function must have a different output
4 0
2 years ago
Read 2 more answers
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