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3 years ago

15

What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter- sect?

1 answer:

Kitty [74]3 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:

x^2 - 2x + 1 = x^2 + 2x - 7

We now do algebra to isolate x. Subtract 1 from both sides.

x^2 - 2x = x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x = x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

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Which table shows a proportional relationship between x and y?

Semenov [28]

Answer:

B

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

<u>Table A</u>

$\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}$

These fractions are not equal. This is not proportional.

<u>Table B</u>

$\frac{0.5}{1}=\frac{1}{2} =\frac{3.5}{7} =\frac{4}{8}$

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

<u>Table C</u>

$\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}$

These fractions are not equal. This is not proportional.

<u>Table D</u>

$\frac{7}{2} \neq \frac{9}{3}\neq \frac{11}{4} \neq \frac{13}{5}$

These fractions are not equal. This is not proportional.

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b

Rainbow [258]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

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What is the area of the triangle whose vertical are (-4,0), (-10,0) and (-7,-6)?

olchik [2.2K]

Step-by-step explanation:

from the point -10 to -4 thre is a difference of 6 uints . Base 6

from the x-axis to furthest point,

there is a difference of 6 units. Height 6

8 0

2 years ago