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4 years ago

Lines a and b are perpendicular. The equation of line a is y=1/3x+3. What is the equation of line b

Mathematics

1 answer:

kykrilka [37]4 years ago

6 0

Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4

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Zara has a rectangular garden. The length of her garden is 12 feet and the width is 7 feet. She extends the width

prisoha [69]

Given the perimeter and length of the garden, the width of the garden was extended by 4 feet

<h3>How to find width of the garden</h3>

Length of the garden = 12 feet
Width of the garden = 7 feet

Width extension =( 7 + w) feet

Perimeter = 46 feet

Perimeter = 2(length+ width)

46 = 2{12 + (7 + w)}

46 = 2(12 + 7 + w)

46 = 2(19 + w)

46 = 38 + 2w

46 - 38 = 2w

8 = 2w

w = 8/2

w = 4 feet

Learn more about perimeter:

brainly.com/question/24571594

4 0

3 years ago

D · 24 = -12 What does d equal?

Darya [45]

Answer: $d=-1/2$

Move all terms to the left

$d*24-(-12)=0$

Add all the numbers together, and all the variables

$d*24+12=0$

Multiply elements

$24d+12=0$

Move all terms containing d to the left, all other terms to the right

$24d=-12\\-12/24\\d=-1/2$

4 0

3 years ago

Read 2 more answers

An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has

kirill115 [55]

Answer:

x≥4

Step-by-step explanation

24+4x≥40. Subtract 24 from both sides to get 4x≥16. Divide both sides by 4 to get x≥4.

6 0

3 years ago

Read 2 more answers

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

(sin^4 theta - 1)/(cos^2 theta) = cos^2 theta - 2

WARRIOR [948]

Answer:

Step-by-step explanation:

3 0

3 years ago