The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the

Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left

Mandarinka [93]

Answer: $y=8x-25$

Step-by-step explanation:

Given

Line passes through $(3,-1)\ \text{ and}\ (4,7)$

Equation of line when it passes through two points $(x_1,y_1),(x_2,y_2)$

$\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}$

Insert the values

$\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25$

8 0

2 years ago

Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponen

mestny [16]

The product of the factors in the given expression comes to be $7.35932 *10^{-3}$ .

The given expression is:

$(1.466*10^{-8} )(5.02*10^5)$

We can rewrite the given expression as

$(1.466*5.02)(10^{-8} *10^5)$

<h3>What is the exponent addition rule? </h3>

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

$a^m*a^n = a^{m+n}$

$1.466*5.02=7.35932$

$10^{-8} *10^5 = 10^{-3}$ ....from exponent addition rule

So, $(1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}$

Therefore, the product of the factors in the given expression comes to be $7.35932 *10^{-3}$ .

To get more about exponents visit:

brainly.com/question/819893

6 0

2 years ago

Read 2 more answers

What is the answer to this 8⁄10 – 1⁄5

AnnZ [28]

1/80 = 0.0125
1/5 = 0.2

0.0125-0.2 = -0.1875
-0.1875 = -3/16

7 0

2 years ago

Find the value of x.<br> to<br> 95°<br> 135

Dvinal [7]

The given angles are 95° and 135, and the value of x is 40.

<h3>What is the angle sum property?</h3>

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

The given angles are 95° and 135.

Let's consider the adjacent angle of 135 to be z.

So, as we can see that both angles make a linear pair.

z + 135 = 180

z = 180 - 135

z = 45

Let's consider the interior angle to be y.

then,

y = 95 ( vertically opposite angle)

Now, The angle sum property

x + y + z = 180

x = 180 - 95 + 45

x = 40

Thus, the value of x is 40.

Learn more about the triangles;

brainly.com/question/2773823

#SPJ1

6 0

2 years ago

3. A piece of white oak has a densityof 0.77 g/cm and a mass of 100 g,what would be the volume of thesample? PLEASE HELP!

Nezavi [6.7K]

$\text{Volume}=129.87cm^3$

Explanation

Step 1

the density of an object is given by:

$\text{density}=\text{ }\frac{mass}{\text{volume}}$

Step 2

let

$\begin{gathered} \text{density}=0.77\frac{g}{cm^3} \\ \text{mass}=\text{ 100 g} \\ \end{gathered}$

Step 3

replace,

$\begin{gathered} \text{density}=\text{ }\frac{mass}{\text{volume}} \\ 0.77\frac{g}{cm^3}=\frac{100g}{\text{volume}} \\ \text{volume}\cdot0.77\frac{g}{cm^3}=\text{1}00\text{ g} \\ \\ \text{Volume}=\frac{100\text{ g}}{0.77\frac{g}{cm^3}} \\ \text{Volume}=129.87cm^3 \end{gathered}$

I hope this helps you

5 0

1 year ago