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Yakvenalex [24]

2 years ago

6

Solve by transforming into a perfect square trinomial x squared-14x=15

1 answer:

ycow [4]2 years ago

8 0

X^2 - 14 x = 15

(x - 7)^2 - 49 = 15

(x-7)^2 = 64

x - 7 = - or + 8

x = 15 or -1

Just take half o the coefficient of x and subtract it squared as above.

In general

x^2 + ax = b

(x + a/2)^2 - a^2/4 = b

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Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

2 years ago

Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independ

zhuklara [117]

we have

$6c = 2p - 10$

If c is the independent variable

then

p is the dependent variable

so

clear variable p

$6c = 2p - 10$

Divide by $2$ both sides

$3c = p - 5$

Adds $5$ both sides

$3c+5 = p - 5 +5$

$p=3c+5$

Write the equation in function notation

$f(c)=3c+5$

therefore

the answer is

the equation in function notation is equal to $f(c)=3c+5$

5 0

3 years ago

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Which of the following best describes how the y values are changing over each interval? x y 1 20 2 40 3 80 4 160 5 320 They are

MAVERICK [17]

<h3>Answer</h3>

They are being multiplied by 2 each time.

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Sindrei [870]

Answer:

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