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prohojiy [21]
2 years ago
15

A rectangle has a length of (x+2) inches and a width of (2x+3) inches. Find an expression that represents the area of the rectan

gle. Write the expression in simplified form.
Mathematics
1 answer:
Oliga [24]2 years ago
5 0

Answer:2x²+7x+6

Step-by-step explanation:

Since the area of triangle is length *width

Therefore, (x+2)*(2x+3)

2x(x+2)+3(x+2)

=2x²+4x+3x+6

=2x²+7x+6

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Suppose f is a function. If 10 = f(-4), find the coordinates of a point on the graph of f?
Rashid [163]

Given:

For a function f, 10 = f(-4).

To find:

The coordinates of a point on the graph of f.

Solution:

We have,

10 = f(-4)

It means the value of function f is 10 at -4.

On a coordinate plane x-axis represents the input values and y-axis represents the output values of a function. So,

x-coordinate = input value = -4

y-coordinate = output value = 10

Therefore, the required coordinates of a point on the graph of f are (-4,10).

5 0
3 years ago
The equation L= 4m+25 and H= 9m+41 represent the number of LA Lakers shirts, L, and the number of Miami Heat shirts, H, sold in
Pavlova-9 [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
amid [387]

Answer:

y = (3/2)x + 8

Step-by-step explanation:

Hi

First let's find the slope of the given line by converting to slope-intercept form:-

2x + 3y = 9

3y = -2x + 9

y = (-2/3)x + 3

From this we see that the slope is -2/3.

The slope of a line perpendicular to this one will be - 1 /  (-2/3)

= 3/2.    ( because for a line and its perpendicular, the slopes' product = -1).

Using the point-slope form  to find the equation of this line

y - y1 = m(x - x1).  Here m = slope and (x1, y1) is a point on the line.

Plugging in the given values ,  m = 3/2 , x1 = -2 and y1 = 5:-

y - 5 = 3/2 (x - -2)

y - 5 = 3/2x + 3

y = (3/2)x + 8   which is the equation in slope-intercept form.

8 0
2 years ago
Keisha is visiting a museum. She wants to know the height of one of the sculptures. She places a small mirror on the ground betw
RSB [31]

Answer:

I would say the distance that she is from the mirror .

You look down at the mirror that reflects what you see.

Step-by-step explanation:

6 0
3 years ago
How many solutions does x + 2x + 7 = 3x - 7
Alex17521 [72]

Answer:

No solutions! :)

Step-by-step explanation:

To find the number of solutions in a problem we must solve it.

x+2x+7=3x-7

Firstly, combine common terms:

3x+7=3x-7

We can subtract 3x from both sides:

7=-7

The solution is 7=-7, which is no solution.

When a number is equal to a number in a solution, it has no solutions!

:))

3 0
3 years ago
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