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Alika [10]
3 years ago
15

Lucy has a homework assignment and she must solve the equation -7x + 2 = 51.

Mathematics
1 answer:
victus00 [196]3 years ago
8 0

Answer:

x = -7

Step-by-step explanation:

-7x + 2 = 51

-7x = 51 - 2

-7x = 49

x = -7

<h2>Insta: 25k_kem</h2>
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3x+5y = 15 find the slope of a line perpendicular to each given line
gladu [14]

Answer:

Slope = 5/3

Step-by-step explanation:

See attached image

5 0
1 year ago
What is the area of the square adjacent to the third side of the triangle?
Naddik [55]

Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), \sqrt{35} is the side length of the pink square and \sqrt{50} is the side length of the green square.

That means a = \sqrt{35} and b = \sqrt{50} , so...

(\sqrt{35} )^{2} + (\sqrt{50})^{2}  = c^{2}

35 + 50 = c^2

85 = c^2

\sqrt{85} = c

Now we need to square the square root of 85 to find the area of the blue square.

(\sqrt{85})^{2}  = Area of blue square

85 units^2 = Area of Blue Square

To solve the other question we use the same formula again.

x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 =  25\\x=\sqrt{25} \\x=5

x = 5 units

3 0
3 years ago
A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left?
Mrrafil [7]

Answer: 240 gallons

Step-by-step explanation:

From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:

= 1/3 × 360

= 120 gallons

Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:

= 360 - 120

= 240 gallons

8 0
3 years ago
Does x=7 describe a line with an x-intercept of 7?
Alex787 [66]

Answer:

Yes, an x-intercept is a point in the equation where the y-value is zero, and a y-intercept is a point in the equation where the x-value is zero.

8 0
3 years ago
Read 2 more answers
For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year.
Fantom [35]

Answer:

V(0)=$537,000

b=0.83

t=9

v (9)=100,386.92

Value after 9 years of depreciation at 17% per year

b = 1- r

b = 1 - 17% b = 0.83

Step-by-step explanation:

V (t)=V(0) (b)^t

V (t) future value ?

Vo present value $537,000

b=0.83

T time =9 years

V (9)=537,000×(0.83)^(9)

v (9)=100,386.92

Value after 9 years of depreciation at 17% per year

b = 1- r

b = 1 - 17% b = 0.83

3 0
1 year ago
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