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2 years ago

Distributive property simplify 5(3v-7)

Mathematics

2 answers:

VMariaS [17]2 years ago

7 0

Answer:

15v - 35

Step-by-step explanation:

start by distributing 5 to 3v.

5(3v - 7) <em>aka 5 · 3v </em>⇒ 15v

distribute 5 to -7.

5(3v - 7) <em>aka 5 · -7</em> ⇒ -35

you are left with 15v and -35, therefore your simplified expression is 15v - 35.

i hope this helps! have a lovely day <3

Naddik [55]2 years ago

4 0

Answer:

$15v-35$

Step-by-step explanation:

The distributive property states that $a(b+c)=a*b+a*c$ , where $a$ , $b$ , and $c$ are real numbers. In this case, $a=5$ , $b=3v$ , and $c=-7$ . Therefore, $5(3v-7)=5*3v+5*(-7)=15v-35$ . Hope this helps!

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USPshnik [31]

Answer:

see below

Step-by-step explanation:

1) 4

2) 1 or -1

7 0

3 years ago

What does x equal if the circumference of a circle equals 113.04

Sveta_85 [38]

Circumference=2(pi)r or (pi)d
You know that Circumference=113.04
You know that the diameter=2x+4
Plug what you know into the equation and solve for x.
C =(pi) d
113.04=(pi)(2x+4)

5 0

3 years ago

Find x and decide if that side (with the x) is an Altitude

irga5000 [103]

Answer:

b = 15
c = 51
c = 100
b = 25.75

Step-by-step explanation:

Using the Pythagoras theorem equation:

$c^{2}=a^{2}+b^{2}$

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

$17^{2}=8^{2}+b^{2}$

$b=\sqrt{225}$

$b=15$

2) Here a = 24, b = 45 and c = ?

$c=\sqrt{24^{2}+45^{2}}$

$c=51$

3) Here a = 28, b = 96 and c = ?

$c=\sqrt{28^{2}+96^{2}}$

$c=100$

4) Here a = 17, b = ? and c = 28

$b=\sqrt{28^{2}-11^{2}}$

$b=25.75$

Just in the 4 case x is an altitude.

I hope it helps you!

3 0

3 years ago

The equation h(t)= -16t^2+864t models the path of a rocket shot into the air. After how many seconds does the rocket hit the gro

Vika [28.1K]

Answer:

t = 54 seconds

Step-by-step explanation:

The equation that models the path of a rocket into the air is given by :

$h(t)= -16t^2+864t$

It is required to find the time after which the rocket will hit the ground. When it hits the ground, the height of the rocket will becomes zero. It means,

h(t) = 0

i.e.

$-16t^2+864t=0\\\\16t(-t+54)=0\\\\16t=0, -t+54=0\\\\t=0\ and\ t=54\ s$

It means after 54 seconds, the rocket will hit the ground.

8 0

3 years ago

A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the

Bezzdna [24]

Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.

The volume of a cone is:

$V = \dfrac{1}{3} \pi r^2 h$

Total volume:

$V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19$

Volume of upper cone:

$V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8$

Volume of frustum:

$V_f = \dfrac{1}{3}\pi(7.5^2)(19) - \dfrac{1}{3}\pi(3.5^2)(8)$

3 0

3 years ago

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