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3 years ago

Name that angle pair

Mathematics

1 answer:

Verizon [17]3 years ago

5 0

Answer:

Can you figure out the answer?

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It cost you $12 to start up your

brilliants [131]

Step-by-step explanation:

let no. of hours be x.

45x - 12 ≥ 117

45x ≥ 129

x ≥ 2.8667 (5sf)

therefore, 3 hours (round up to next whole number).

Topic: inequalities

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6 0

3 years ago

three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f(1) = 6, f(4) = 12, f(7) =

Viefleur [7K]

A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2

4 0

3 years ago

Read 2 more answers

What is the equation of this graphed line?

Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

Step-by-step explanation:

Here, the two point line are given as is A(-6,-3) and B(6,-7)

The slope of the line AB = $m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-7-(-3)}{6-(-6)} = \frac{-7 + 3}{6 + 6} = \frac{4}{12} \\\implies m = \frac{1}{3}$

⇒ the slope of AB is m = (4/3)

By SLOPE INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)= m (x-x0)

⇒ The equation of line with point (6,-7) is:

$y + 7 = \frac{1}{3} (x-6) \implies 3y + 21 - x + 6 - 0\\or, -x + 3y + 27 = 0$

Now, the given equation is -x + 3y = -27

Convert it in the SLOPE INTERCEPT FORM y = mx + c

We get, 3y = x - 27

or, $y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9$

Hence, the Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

3 0

2 years ago

James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c

swat32

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

$6Z=3(Z+8)$

$6Z-3Z=24$

$3Z=24$

Divide both sides by 3.

$Z=8$

Therefore, the required equation is $6Z=3(Z+8)$ is age of zach is 8 years.

5 0

3 years ago

Rewrite the linear equation in slope-intercept form.

Serhud [2]

Slope intercept: y=-3/4x+2

3 0

2 years ago