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solong [7]
3 years ago
9

Which of the fallowing is a factor? EXPLAIN:

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0
Find two numbers that multiply to -28 (last term) and add to -3 (middle term)

Those two values are -7 and 4
-7 plus 4 = -3
-7 times 4 = -28

Since the numbers are -7 and 4, this means the given expression factors to (x-7)(x+4)

The two factors are x-7 and x+4

The factor x+4 isn't listed in the list of answer choices, so we can ignore it. The factor x-7 is listed as choice B, so that is the only answer.
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7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S
Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.

This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.

5 0
1 year ago
which strategy do you prefer to use to multiply with multiples of 10: base ten blocks, a number line, or place value? Explain wh
ladessa [460]
Place value. when multiplying by 10 you are moving a decimal, having everything lined up like place value would save you a lot of time.
7 0
3 years ago
Read 2 more answers
the city of brice is planning to build a skate park. An architect designed the area shown at the right. in the plan, the perimet
Amiraneli [1.4K]

The actual skate park's perimeter is 130 inches.

Explanation:

Step 1; Assume the initial garden has a width of y inches. It is given that the length is 25 inches. The perimeter of any given rectangle is twice the sum of the length and the width of the same rectangle. The initial perimeter is given as 80 inches.

Perimeter = 2 × (length of the rectange + width of the rectangle).

80 = 2 × (25 + y), 40 = 25 + y, y = 40 - 25 = 15

So the initial park has a width of 15 inches.

Step 2; Now we calculate the actual skate park's perimeter. The length is given as 50 inches and the width was found to be 15 inches.

Perimeter = 2 × (length of the rectange + width of the rectangle).

Perimeter = 2 × (50 + 15) = 2 × 65 = 130 inches.

5 0
3 years ago
Ken's prediction for december was -5°c The actual low temperature was 3 degrees higher than his prediction what was the actual l
SashulF [63]

Answer:

  -2 °C

Step-by-step explanation:

Add 3 °C to get a temperature 3 °C higher.

  -5 °C + 3 °C = -2 °C

8 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
yarga [219]

Answer:

(x-5)^2+(y-2)^2=9\\

Step-by-step explanation:

So, you basically want the equation of the circle.

Given:

Center(C): C(5, 2)

r=3

The equation of circle is:

(x-h)^2+(y-k)^2=r^2\\

Where, (h, k) represents the center point and r is the radius of the circle.

Plotting the values in the equation:

(x-5)^2+(y-2)^2=3^2\\

(x-5)^2+(y-2)^2=9\\

This is the equation of the circle of center (5, 2) and radius 3.

6 0
3 years ago
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