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Mrrafil [7]
3 years ago
10

Find the equation of the line through point (−4,−4) and perpendicular to 2x+3y=3. Use a forward slash (i.e. "/") for fractions (

e.g. 1/2 for 12).
Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0

Answer:

y = 3/2x + 2

Step-by-step explanation:

Step 1: Write original equation into slope-intercept form

3y = -2x + 3

y = -2/3x + 1

Step 2: Find slope of perpendicular line

Take the negative reciprocal of the other slope.

m = 3/2x

Step 3: Find <em>b</em>

y = 3/2x + b

-4 = 3/2(-4) + b

-4 = -6 + b

b = 2

Step 4: Rewrite perpendicular equation

y = 3/2x + 2

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Danny wants to build a deck with an area of at least 120 square feet. He has space for a length of up to 14 feet, but no more th
zhuklara [117]
I think yes. because sense he can have a length of 14ft, and no more then 9ft for the width he would be able to ft it because
14x9=126 square feet.
so I think he has enough room.
5 0
3 years ago
The diagram below shows the dimensions of a rectangular house with a rectangular backyard. What is the total area, in square fee
nignag [31]

Answer:

D) 5,200

Step-by-step explanation:

The formula to find the area of a r rectangle: l x w, where l is the length and w is width.

Area of the backyard: 50 x 80

= 4,000 ft

Area of the house: 40 x 30

= 1,200 ft

Total = 4,000 + 1,200

= 5,200 ft²

7 0
2 years ago
a cylinder shaped glass with a base area of 7.07 square inches and a height of 6 inches weighs 1.06 ounces when empty. the glass
inn [45]
We know, volume of Cylinder = πr²h
Now, base area = πr² = 3.14 * r² = 7.07
r = √2.25
r = 1.50

Now, volume of water = 3.14 * (1.50)² * 5
v = 3.14 * 2.25 * 5
v = 35.325 in³

Weight of 1 in³ = 0.6 Ounce
so, 35.325 in³ = 0.6 * 35.325 = 21.195 Ounce
Total Weight = Glass weight + water weight
w = 1.06 + 21.195
w = 22.255 Ounce

In short, Your Answer would be 22.255 Ounces

Hope this helps!
7 0
2 years ago
What expression equevalent to-3(-x+12)
bazaltina [42]

Answer:

3x - 36

Step-by-step explanation:

-3 (-x+12)

simply the expression

5 0
3 years ago
Product of (6x+8us^2)(x-us^2)
Lerok [7]

Answer:

−8s4u2+2s2ux+6x2

Step-by-step explanation:

=(6x+8us2)(x+−s2u)

=(6x)(x)+(6x)(−s2u)+(8us2)(x)+(8us2)(−s2u)

=6x2−6s2ux+8s2ux−8s4u2

=−8s4u2+2s2ux+6x2

7 0
3 years ago
Read 2 more answers
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