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3 years ago

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

1 answer:

4 0

Multiply the first equation by -2 gives:_
-2y = -8 + 2x

2y = 8 - 2x

adding these 2 equations:-

0 = 0

This shows that the 2 equations are equal so there are infinite solutions

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LiRa [457]

Answer:

and.. thanks

Step-by-step explanation:

4 0

3 years ago

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. T

Anarel [89]

Answer:

$D = 0.42m$

Step-by-step explanation:

Given

Force = 0.052 N when Distance = 1.6 m

Required

Find Force; when distance = 0.74 N

The question says force is inversely proportional to square of distance;

Let F represent Force and D represent Distance;

Mathematically;

$F\alpha \frac{1}{D^2}$

Convert proportion to equation

$F = \frac{k}{D^2}$

<em>Where k is the proportionality constant; This means that k is always constant</em>

Make k the subject of formula

$F * D^2 = \frac{k}{D^2} * D^2$

$FD^2 = k$

When F = 0.052 and D = 1.6; the value of k is as follows

$0.052 * 1.6^2 = k$

$0.13312 = k$

$k = 0.13312$

When F = 0.74;

Recall that k is always constant; so $k = 0.13312$

To solve for D, we'll make use of $F = \frac{k}{D^2}$

Substitute $k = 0.13312$ and F = 0.74;

$0.74 = \frac{0.13312}{D^2}$

Multiply both sides by D²

$0.74 * D^2 = \frac{0.13312}{D^2} *D^2$

$0.74 * D^2 = 0.13312$

Divide both sides by 0.74

$\frac{0.74 * D^2}{0.74} = \frac{0.13312}{0.74}$

$D^2 = \frac{0.13312}{0.74}$

$D^2 = 0.17989189189$

Take square roots of both sides

$D = \sqrt{0.17989189189}$

$D = 0.42413664294$

$D = 0.42m$ (Approximated)

8 0

3 years ago

Challenger Elementary School has 800800 800 800 students. Every Wednesday, 12, percent of the students stay after school for Che

kkurt [141]

800800800800*0.12=96096096096

3 0

4 years ago

I need helppp could you help please pl,s pls pls pls pls pls plks pls pls pls pls pls pls

Furkat [3]

Answer:(-4,6)

Step-by-step explanation:

you go down four then over six and you find the letter F

5 0

3 years ago

Read 2 more answers

What is the probability of not rolling factors of 4 on both dice ?

galben [10]

Answer:

Step-by-step explanation:

5 0

3 years ago