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3 years ago

What is the answer?How do you solve this?

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

you have to look at the chart and use the chart to answer the questions at the botttom

Step-by-step explanation:

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

Is the following relation a function ?

Sedaia [141]

No it is not a function the are two inputs for one output

7 0

3 years ago

A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t

e-lub [12.9K]

Answer:

137.8

Step-by-step explanation:

3 0

3 years ago

Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same

VashaNatasha [74]

After Greg makes the pudding 1 time, it takes him $f(1)=2(0.8) ^{1}=1.6$ hours to make it.

After Greg makes the pudding 2 times, it takes him $f(2)=2(0.8) ^{2}=1.28$ hours to make it

After Greg makes the pudding 2 times, it takes him $f(3)=2(0.8) ^{3}=1.024$ hours to make it

so The function is $f(x)=2(0.8) ^{x}$

Answer: f of x equals 2 multiplied by 0.8 to the power of x

4 0

3 years ago

A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour

aalyn [17]

12x = 10x + 3

Subtract 10x from both sides

2x = 3
Divide by two on each side

x = 3/2 or 1 1/2 hours

Distance of the trip:

12 * 2 * 3/2 = 36 miles

How long does the trip take:

3/2 + 3/2 + 3/10 = 3 3/10 hours

6 0

3 years ago

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