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Darya [45]
3 years ago
7

Geometry help will give brainliest

Mathematics
1 answer:
MrRissso [65]3 years ago
7 0
Problem 1
=========
Write an equation for line passing through (8,12) that is perpendicular to 
y = (4/3)x - 5
 
Note:
When two lines are perpendicular, the product of their slopes is -1.

The slope of the given line is 4/3.
Therefore the slope of the perpendicular line is -3/4.
Let the equation of the perpendicular line be
y = -(3/4)x + c
Because the line passes through (8,12), therefore
-(3/4)*8 + c = 12
-6 + c = 12
c = 18
The equation is y = -(3/4)x +18

Answer: y= -\frac{3}{4} x + 18

Problem 2
=========
Write an equation for a line passing through (-30,7) that is perpendicular to
y = -3x - 5.

The perpendicular line will have a slope of 1/3. Let its equation be
y = (1/3)x + c
Because the line passes through (-30,7), therefore
(1/3)*(-30) + c = 7
-10 + c = 7
c = 17
The equation is y = (1/3)x + 17

Answer: y =  \frac{1}{3} x + 17

You might be interested in
15t+30+5t=-4t+6 please show step by step
babunello [35]
15t+4t+5t=6-30
24t=-24
t=-1
3 0
3 years ago
Julie has a jewlery box shaped like a cube. The volume of the jewlery box is v cubic inches. Write an
Stolb23 [73]

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ =  v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

7 0
3 years ago
Given the center (h,k) = (5,0) and radius r=3, write and equation for the circle in standard form
Len [333]

Answer

B)(x-5)^{2} + y^{2} = 9


Step by step explanation

The standard form of circle when center(h, k) and radius r, given is

(x - h)^2 + (y - k)^2 = r^2

Given: (h, k) = (5, 0) and r = 3

Now plug in these values in the standard form, we get

(x - 5)^2 + (y - 0)^2 = 3^2

(x- 5)^{2} + y^{2} = 9

Therefore, the answer is B) (x-5)^{2}  + y^{2} = 9

Thank you :)

3 0
3 years ago
Read 2 more answers
PLS HELP ME I WILL MARK THE BRAINLIEST
Serga [27]

Answer:

1. 155 yd², 2. 379.54 ft², 5. x = 65.82π

Step-by-step explanation:

1. A = (1/2) · (3 + 13) · 8

A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²

2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²

3. and 4. Sorry, I don't know how to solve these

5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π

Hope this helps :)

7 0
2 years ago
What is the solution to the equation below?<br> 8-(x+10)=2x-1
dangina [55]
X = - 1/3 or an alternate form x = -0.3, x = -3 to the power of -1
6 0
2 years ago
Read 2 more answers
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