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3 years ago

Name the property illustrated by if y - 2 = -8, then 3(y - 2) = 3(8).

1 answer:

5 0

Not sure of name, but it should be something like the equality of equations property where k=k since you just multiplied both sides by 3

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Find the volume. Round your answer to the nearest tenth.

Simora [160]

Answer:

94.6m³

Step-by-step explanation:

The diagram shown in this question is a trapezoidal prism.

The volume of a trapezoidal prism is calculated as:

L × H × (P + Q/2)

Where L = Length = 4m

H = Height = 4.3m

P = Base width = 8m

Q = Top width = 3m

The volume of the trapezoidal prism =

4 × 4.3 ×(8+3/2)

=4 × 4.3 ×(11/2)

= 94.6m³

Therefore, the volume of the trapezoidal prism to the nearest tenth = 94.6m³

4 0

3 years ago

What is the true solution to In 20+In 5= 2 In x?<br><br>#31<br>

Neko [114]

Answer:

ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

Hope This Helps!

5 0

3 years ago

How can you tell an equation is linear? Example: 22x-14y=65

Nezavi [6.7K]

To determine whether or not an equation is linear or not, we look at the exponets. If the highest exponent on a single variable is one, then the equation is linear.

Answer: x = 14y + 65
-----------
22

7 0

3 years ago

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

$h(t) = -16t^{2} + 72t + 100$

How long will it take the coin to reach the stream?

The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

3 0

3 years ago

Find the missing exponent

Hunter-Best [27]

Answer:

-6

Step-by-step explanation:

Because 2×(-6) is - 12

8 0

2 years ago

Read 2 more answers