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rusak2 [61]
3 years ago
11

Complete this statement

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

We have to complete the statement of

20ax^2+25ax+15a = 5a\left ( \   \   \   \   \  \    \right )

The left hand side is given by

20ax^2+25ax+15a

Now when we take GCF as 5a, then we have to divide each term of the expression with 5a. Thus, we have

20ax^2+25ax+15a = 5a \left (\frac{20ax^2}{5a}+\frac{25ax}{5a}+\frac{15a}{5a}   \right )\\
\\
20ax^2+25ax+15a = 5a\left ( 4x^2 +5x+3 \right )

Therefore, to complete the statement we need to enter 4x^2 +5x+3 in the box.

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A line is parallel to the line y = -x + 5 and passes through the point (4. - 1). Which of the following is an equation of the
MariettaO [177]

Answer:

y = -x + 3; could also be y + 1 = -(x - 4)  or  y = -(x - 4) - 1  or x + y = 3

Step-by-step explanation:

No options given, so I hope this helps.

1. Identify any of the equations that have the same slope as your given equation (-1). If there's only one, stop here.

2. Find the y-intercept by replacing (x,y)=(4,-1) in the equation y = -x + b and solve for b: -1 = -(4) + b  ==> 3 = b

3. Replace b in the equation y = -x + b with 3.

5 0
1 year ago
Tom has 50 coins consisting of quarters and dimes. The combined value of coins is $8.30. How many dimes and quarters does Tom ha
zheka24 [161]

Answer:

dimes-

Step-by-step explanation:

4 0
3 years ago
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The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?
marissa [1.9K]

Answer :perimeter = 2W + 2L

42 = 2*8 + 2L

Length = 26 / 2 = 13

Step-by-step explanation:

7 0
2 years ago
The height in feet of a bottle rocket in given by h(t)=160t-16t^2 where t is the time in seconds. How long will it take for the
tatiyna

a) 10 sec

b) 256 feet

Step-by-step explanation:

a)

The height of the rocket above the ground at time t is described by the second-order equation

h(t)=160t-16t^2 (1)

where:

t is the time, in seconds

h(t) is the height, in feet

160 represents the initial vertical velocity of the rocket

-16 represents the acceleration due to gravity (downward)

The rocket will return to the ground when the height is zero, so when

h(t)=0

Substituting into eq(1) and solving for t, we find:

0=160t-16t^2\\0=16t(10-t)=0

which has two solutions:

t = 0 (initial instant, so when the rocket starts its motion)

t = 10 s --> this is the time at which the rocket returns to the ground

b)

The height of the rocket is given by

h(t)=160t-16t^2

t is the time, in seconds

h(t) is the height, in feet

Here we want to find the height of the rocket after 2 seconds: to do that, we just need to substitute

t = 2 sec

into the equation of the height.

By doing so, we find:

h(2)=160\cdot 2 -16(2)^2=256 ft

Therefore, the height of the rocket after 2 seconds is 256 feet.

4 0
3 years ago
Elio makes candles that are 14 cm tall. Each candle burns 8 hours before going out. He is wondering how many hours a 21 cm tall
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(burn time)/(8 h) = (21 cm)/(14 cm)
burn time = (8 h)*(21/14)
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Elio expects the 21 cm candle to burn 12 hours.
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3 years ago
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