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3 years ago

14

Brian is fencing a rectangular area in the backyard for his dog. He has 25 ft of fence. He does not need fencing on the side tha

t runs along the garage. This side is 9 ft long. what are the dimensions of the kennel?

1 answer:

Triss [41]3 years ago

4 0

25-9=16
16/2=8
therefore
9by8

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What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?

Anvisha [2.4K]

Answer:

$y=-\frac{3}{2}x-\frac{9}{2}$

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = $\frac{y_2-y_1}{x_2-x_1}$

m' = $\frac{1+1}{3-0}$

m' = $\frac{2}{3}$

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × $\frac{2}{3}$ = -1

m = $-\frac{3}{2}$

Equation of the perpendicular line will be,

$y=-\frac{3}{2}x+b$

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = $-\frac{3}{2}(-3)+b$

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Equation of the line will be,

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3 years ago

Area and perimeter of geometric functions

SCORPION-xisa [38]

Answer:

C. 60

Step-by-step explanation:

From triangle ADB,

$|AD|^2+|BD|^2=|AB|^2$

$|AD|^2+16^2=20^2$

$|AD|^2=20^2-16^2$

$|AD|^2=400-256$

$|AD|^2=144$

$|AD|=\sqrt{144}$

$|AD|=12$

From triangle ADC,

$|CD|^2+12^2=15^2$

$|CD|^2+144=225$

$|CD|^2=225-144$

$|CD|^2=81$

$|CD|=9$

The perimeter is the distance around the figure.

The perimeter

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3 years ago

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Using scalar multiplication, it is found that 5u = <10,20>.

<h3>What is scalar multiplication?</h3>

It is when a vector is multiplied by a constant, and it means that each term of the vector is multiplied by the constant.

In this problem, the vector is:

u = <2,4>

Since each term is multiplied by 5:

5u = <5 x 2, 5 x 4> = <10,20>.

To learn more about scalar multiplication, you can take a look at brainly.com/question/1821869

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2 years ago

The nutritional chart on the side of a box of a cereal states that there are 96 calories in a three fourths 3 4 cup serving. How

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<span>The answer is 1008 calories </span>

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3 years ago

Fifteen 2 inch nails weigh 35 grams. How many of these nails weigh 175 grams? Can you explain how to do this please thankyou so

polet [3.4K]

Solving:

1) Pass: Make the rule three (Directly proportional)

Two inch nails ______ grams (<span>Weight)
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n ----------------------------- 175

2) Pass: <span>Multiply cross
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$35*n = 15*175$

3) Pass: Simplify
$35*n = 15*175$
$35n = 2625$
$n = \frac{2625}{35}$
$\boxed{n = 75}$

Answer:
75 nails weigh 175 grams

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3 years ago