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2 years ago

15

The following table shows how many multiplication problems 444 students were able to solve in different amounts of time. For exa

mple, Murray solved 585858 problems in 222 minutes.

1 answer:

lesya692 [45]2 years ago

5 0

Answer:

342

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

Consider that point A is reflected across the y-axis. What is the distance between point A and the point of its reflection?

Arisa [49]

Answer:

C

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ), thus

A(3, 4 ) → A'(- 3, 4 )

Since the point A and it's reflection lie on a horizontal line then

distance between = | 3 + 3 | = | 6 | = 6

7 0

2 years ago

Can someone plz explain this?

VMariaS [17]

Answer:

Step-by-step explanation:

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4 0

3 years ago

What can be concluded about the sequence 19, 15, 11,

Mariulka [41]

Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The question is:

What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.

The common difference of the sequence is the same as the slope of the graph.
The slope of the graph is –4.
The next term in the sequence is represented by point (4, 3).
f(x) = –4x + 19 represents the sequence.
An infinite number of points can be determined to follow this sequence.

The graph is attached to the picture please refer to the graph.

We have an arithmetic sequence:

19, 15, 11, 7,...

The first term is:

a = 19

Common difference d = 15-19 = -4

The nth term:

a(n) = 19 + (n-1)(-4)

a(n) = 19 -4n + 4

a(n) = -4n + 23

We can write above expression as:

f(x) = -4x + 23

Slope of the equation = -4

The correct options are:

The common difference of the sequence is the same as the slope of the graph.
The slope of the graph is –4.

Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

4 0

2 years ago

Please solve the equation (15m + 3)/2 = -6

stiv31 [10]

Answer:

m = - 1

Step-by-step explanation:

Given

$\frac{15m+3}{2}$ = - 6

Multiply both sides by 2 to clear the fraction

15m + 3 = - 12 ( subtract 3 from both sides )

15m = - 15 ( divide both sides by 15 )

m = - 1

6 0

2 years ago

Read 2 more answers