3 years ago

21x + 7 In distributive property

1 answer:

8 0

Answer: 7(3x + 1)

Step-by-step explanation:7 goes into 21 3 times so the 3 is left in the parenthesis along with the one because 7 goes into 7 once

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Find all missing angles.

Monica [59]

1=51
2=34
3= 95 (i think)
4=38

6 0

3 years ago

Jade says that the absolute value of a number and the opposite of a number is the same thing. Is Jade correct? Use examples to h

avanturin [10]

Answer:

No, the absolute value of a number is different from the opposite.

Step-by-step explanation:

For example, the absolute value of 4 is 4.

l4l = 4

But the opposite of 4 is -4.

Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.

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3 years ago

A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. a stop w

stellarik [79]

To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:
yo=-(Voy)t+gt²/2
2. You have that:
Voy=VoxSin(30°)
Voy=(12 m/s)(Sin(30°))
Voy=6 m/s
t=5.6 s
g=9.8 m/s²
2. When you susbtitute these values into the formula, you obtain:
yo=-(6 m/s)(5.6 s)+(9.8 m/s^2)(5.6 s)²/2
yo=120.06 m
Therefore, the answer is: 120.06 m

3 0

3 years ago

The cost of renting a jumping castle includes a fixed charge of $325 for setup and delivery, and a variable charge of $125 for e

kumpel [21]

89Step-by-step explanation:

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3 years ago

A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the

ira [324]

Answer:

7 1/17

Step-by-step explanation:

A figure can be helpful.

The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.

The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...

BC² = BD² +CD²

BC² = 8² +15² = 289

BC = √289 = 17

The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...

(long side)/(hypotenuse) = DE/BD = CD/BC

DE = BD·CD/BC = 8·15/17

DE = 7 1/17 ≈ 7.059

8 0

2 years ago