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swat32
3 years ago
13

Rewrite the equation 2=-5+(2y+2x) in slope intercept form

Mathematics
1 answer:
solong [7]3 years ago
4 0

Answer:

y = -x + 7/2

Step-by-step explanation:

the general equation would be y=mx+c, so you need to make sure your equation will follow that template.

First, bring -5 to left hand side and it will be 2+5=2y+2x

Then, bring 2x to left side to let 2y alone

2+5-2x = 2y

Let y be an alone variable by bringing 2 to the left

(2+5-2x)/2 = y

Simplify.

y= -x + 7/2

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The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height
garik1379 [7]

9514 1404 393

Answer:

  6.2 ft

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

  3000 ft³ = π(2h)²h

  (3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

  h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.

3 0
3 years ago
Last one, ​please :)
KengaRu [80]

Answer:

m∠X = 29°

m∠V = 61°

m∠W == 90°⇒given

Step-by-step explanation:

∵ ΔXWV is right angle at W

∴ m∠W = 90°

∴ m∠X + m∠V = 180° - 90° = 90°

∵ m∠X = 2x + 5 and m∠V = 4x +13

∴ 2x + 5 +4x + 13 = 90

∴ 6x + 18 = 90

∴ 6x = 90 - 18 =72

∴ x = 72/6 = 12

∴ m∠X = 2(12) + 5 = 29°

∴ m∠V = 4(12) + 13 = 61°

5 0
3 years ago
A line that includes the point (4,1) has a slope of 1 7 . What is its equation in point-slope form?
Sergeeva-Olga [200]

Answer:

y = 17x-67

Step-by-step explanation:

The one point form of line also called slope point form is given by

(y-y_1)=m(x-x_1)

where (x1, y1) is the point and m is slope

Given: (x1, y1) = (4,1) and m= 17

Substituting these values in above equation to find equation in point-slope form

(y-1)=17(x-4)

y-1 = 17x-68

y = 17x-67

the point -slope form of equation y = 17x-67

5 0
2 years ago
Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co
Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

Minimum\ Area = 135cm^2

Maximum\ Area = 155cm^2

\pi = 3.14

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

Area = \pi r^2

Where

r = radius

a.\ r = 6cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (6cm)^2

Area = 3.14 * 36cm^2

Area = 114.04cm^2

b.\ r = 7cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (7cm)^2

Area = 3.14 * 49cm^2

Area = 153.86cm^2

<em></em>

c.\ r = 8cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (8cm)^2

Area = 3.14 * 64cm^2

Area = 200.96cm^2

d.\ r = 9cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (9cm)^2

Area = 3.14 * 81cm^2

Area = 254.34cm^2

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

6 0
3 years ago
Read 2 more answers
If 4x -8y + 9 = 0 and 3y + Mx + 1 0 are parallel find the value of m
Klio2033 [76]

Step-by-step explanation:

please mark me as brainlest

8 0
2 years ago
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