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3 years ago

(-7,-8),(-6,7) Distance formula

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Step-by-step explanation:

let

(-7,-8) =(x1, y1)

and (-6,7)=(x2, y2)

by the formula

d=√(y2-y1) ²+(x2-x1) ²

=√(7+8)²+(-6+7)²

=√15²+1²

= √225+1

= √226

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2) When Janet put her marble collection in groups of 7 there were two marbles left over, when she put them in groups of 5 there

Marina CMI [18]

Answer:

23 marbles

Step-by-step explanation:

3 groups of 7 = 21 +2 = 23

4 groups of 5 = 20 +3 = 23

3 0

3 years ago

Elainas old bicycle had tires with a 12-inch diameter her new bicycle had tires with a 16-inch diameter what is the difference i

mr Goodwill [35]

Answer:

The difference between the circumference of the tires is 12.56 inches.

Step-by-step explanation:

Given:

Diameter of old bicycle tires = 12 inch

Diameter of new bicycle tires = 16 inch

We need to find the difference in circumference of the tires.

Solution:

First we will find the circumference of Old bicycle tires.

Circumference can be calculated by π times diameter.

Circumference of Old bicycle tire = $\pi \times 12 = 37.68\ in$

Now we will find the circumference of new bicycle tire.

Circumference of New bicycle tire = $\pi \times 16 = 50.24\ in$

Now to find the difference between the circumference of the tires we will subtract Circumference of New bicycle tire from Circumference of Old bicycle tire we get;

framing in equation form we get;

difference between the circumference of the tires = $50.24-37.68 =12.56\ in$

Hence The difference between the circumference of the tires is 12.56 inches.

5 0

4 years ago

What are the solutions to the system of equations? y=x2−7x+12y=−x+7

kap26 [50]

Answer:

x = 1, y = 6

x = 5, y = 2.

Step-by-step explanation:

y=x2−7x+12

y=−x+7

Substitute for y in the first equation:

- x + 7 = x^2 - 7x + 12

x^2 - 7x + x + 12 - 7 = 0

x^2 - 6x + 5 = 0

(x - 1)(x - 5) = 0

x = 1, 5.

When x = 1, y = -1 + 7 = 6.

when x = 5, y = -5+7 = 2.

3 0

2 years ago

If a polynomial has four terms, 3x3 5x 6x2 10, which factoring method can be considered? perfect-square trinomial difference of

Tems11 [23]

The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.

<h3>What factoring method can be considered for the polynomial?</h3>

It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.

On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.