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3 years ago

12

Write an equation in point slope form for the line that passes through the given point and is perpendicular to the graph of the

given equation (-2,-2);y=1/3x+9

1 answer:

USPshnik [31]3 years ago

4 0

Answer:

y=-3x-8

Step-by-step explanation:

y=1/3x+9

slope is 1/3

perpendicular slope = m

(m)(1/3) = -1

m = -3

Point slope form

(y+2)/(x+2)=-3

y+2=-3x-6

y=-3x-8

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Can I get some help, it is due in 15 minutes and I need help. Thanks, any help appreciated

koban [17]

Well, I'm way past the 15 min mark, but here's how to do the question.

With this, you will need to use the distance formula, $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , on XY, YZ, and ZX.

XY: $\sqrt{(3-1)^2+(1-6)^2}$

Firstly, solve inside the parentheses: $\sqrt{(2)^2+(-5)^2}$

Next, solve the exponents: $\sqrt{4+25}$

Next, solve the addition, and XY's distance will be √29

(The process is the same with the other 2 sides, so I'll go through them real quickly)

YZ:

$\sqrt{(6-3)^2+(3-1)^2}\\ \sqrt{(3)^2+(2)^2}\\ \sqrt{9+4}\\ \sqrt{13}$

ZX:

$\sqrt{(1-6)^2+(6-3)^2}\\ \sqrt{(-5)^2+(3)^2}\\ \sqrt{25+9}\\ \sqrt{34}$

Now that we got the 3 sides, we can add them up: $\sqrt{29}+\sqrt{13} +\sqrt{34} =14.8$

In short, your answer is 14.8, or the second option.

8 0

3 years ago

Graph the inverse function of f(x) = 2x + 4.

motikmotik

Answer:

Step-by-step explanation:

7 0

3 years ago

Could someone please answer question b) ii) ?<br> The question is on the attached image.

mel-nik [20]

Answer:

b) i) Curve A

ii) - 1.75

iii) x = 1 - √5 or x = 1 + √5

Step-by-step explanation:

b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.

The equation can be rearranged to y = (x - 1)² - 4

⇒ (x - 1)² = y + 4

Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.

So, the curve A represents the equation given. (Answer)

ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)

iii) When y = 1, then x² -2x - 3 = 1

⇒ x² - 2x - 4 = 0

⇒ (x - 1)² - 5 = 0

⇒ (x - 1)² - (√5)² = 0

⇒ (x - 1 + √5)(x - 1 - √5) = 0

⇒ x = 1 - √5 or x = 1 + √5 (Answer)

3 0

4 years ago

Give two ratios with a description of the ratio relationship using the following information 15 mill teachers 35 female teachers

ICE Princess25 [194]

we can say that there are 15 male teachers for every 35 female teacher

$\stackrel{\textit{\large ratio 1}}{\cfrac{15}{35}\qquad \cfrac{male}{female}} ~\hspace{10em} \stackrel{\textit{\large ratio 2}}{\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{7}{~~\begin{matrix} 35 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{3}{7}\qquad \cfrac{male}{female}}$

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3 years ago

What is the measure of angle GXI?

Solnce55 [7]

Answer: is there supposed to be a picture for it?

5 0

3 years ago

Read 2 more answers