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3 years ago

How do I solve this problem?

Mathematics

1 answer:

AVprozaik [17]3 years ago

5 0

I'll tell you how to find the answers and just use the give angle measure to solve.

9) angle 11 = angle 14
10) angle 9 + angle 15 = 180
11) angle 10 = angle 3
12) angle 7 = angle 14

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The graph of the function f(x)=-(x+6)(x+2) is shown below. What statement about the function is true ?

arlik [135]

Answer:

Step-by-step explanation:

in x<-4 the derivative is positive so the function is increasing.

in x>-4 the derivative is negative so the function is decreasing

increasing in (-infinity,-4)

decreasing in (-4,infinity)

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3 years ago

Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

$k = \frac{y_2 - y_1}{x_2 - x_1}$

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

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3 years ago

Choose the equation and the slope of the line that passes trough (5,-3) and is parallel to the x-axis

lesya [120]

Answer:

y = -3

Step-by-step explanation:

Parallel to the x axis means that it is a horizontal line

It is of the form y =

Given the point ( 5, -3)

The y value is -3

y = -3

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3 years ago

Two sequences have the formulae 3n - 1 and 7n + 2. A new sequence is formed by the numbers which appear in both of these. Determ

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Answer:

Two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences.

Step-by-step explanation:

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2 years ago

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0.99 divided by 1.1.

NeTakaya

Answer: 0.9

Step-by-step explanation:

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1 year ago