Answer:
Step-by-step explanation:
First, find the slope of the line for the two points.
Slope is Rise/Run.
For the two points (-8,-4) and (3,-10):
Rise (-10 - (-4)) = -6
Run (3 - ( -8)) = 11
The slope is Rise/Run or -(6/11)
The equation becomes y = -(6/11)x + b
Find b by entering either of the 2 points given. I'll use (3,-10):
y = -(6/11)x + b
-10 = -(6/11)(3) + b
b = -10 + (6/11)(3)
b = -10 +(18/11)
b = -(110/11) + (18/11)
b = -(92/11)
The equation becomes y = -(6/11)x - (92/11)
See attached graph.
Answer:
h = 16 feet
Step-by-step explanation:
Pythagoras´ theorem establishes, that in a right triangle square of the hypothenuse (c²) is the sum of leg ( b²) plus leg (a²)
Then
c² = a² + b²
where according to the problem statement
(20)² = h² + (12)² ( h is the height of the flagpole )
h² = 400 - 144
h² = 256
h = √ 256
h = 16 feet
Answer:
Step-by-step explanation:
The value of x is 7 ⇒ 1st answer
Step-by-step explanation:
* Lets revise a fact in the circle
- The two tangents drawn from a point out side the circle are equal
∵ RSTUV is circumscribed about a circle
∴ Each side of the pentagon is a tangent to the circle
- Look to the attached figure to know how we will solve the problem
- Each tangent divided into two parts
# RS = x + y
∵ RS = 8
∴ x + y = 8 ⇒ (1)
# RV = x + n
∵ RV = 12
∴ x + n = 12 ⇒ (2)
- Subtract (2) from (1)
∴ y - n = -4 ⇒ (3)
# ST = y + z
∵ ST = 12
∴ y + z = 12 ⇒ (4)
# TU = z + m
∵ TU = 15
∴ z + m = 15 ⇒ (5)
- Subtract (5) from (4)
∴ y - m = -3 ⇒ (6)
# UV = m + n
∵ UV = 9
∴ m + n = 9 ⇒ (7)
- Add (6) and (7)
∴ y + n = 6 ⇒ (8)
- Lets solve equation (3) and equation (8) to find y
∵ y - n = -4 ⇒ (3)
∵ y + n = 6 ⇒ (8)
- Add (3) and (8)
∴ 2y = 2 ⇒ divide two sises by 2
∴ y = 1
- Lets substitute the value of y in equation (1)
∵ x + y = 8 ⇒ (1)
∵ y = 1
∴ x + 1 = 8 ⇒ subtract (1) from both sides
∴ x = 7
* The value of x is 7
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Answer:
b option
Step-by-step explanation:
Refer to the attachment.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>
Answer:
Step-by-step explanation:
Let x, y , and z be the numbers.
Then the geometric sequence is 
Recall that term of a geometric sequence are generally in the form:
This implies that:
a=32 and 
Substitute a=32 and solve for r.
Take the fourth root to get:
![r=\sqrt[4]{\frac{81}{256} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B81%7D%7B256%7D%20%7D)
Therefore 
