Answer:
Vertex : (-2,1)
other points : (0,5) & (-4,5)
Step-by-step explanation:
Answer:
<h3>Find the explanation below</h3>
Step-by-step explanation:
A) Given the equation z - 5 = 2
To get the solution, we will add 5 to both sides and find z as shown;
z - 5 = 2
z - 5 + 5 = 2 + 5
z + 0 = 2+5
z = 7
Hence z = 5 is not the solution of the equation but z = 7
B) Given the inequality expression t+2>5
Substract 2 from both sides of the equation;
t+2 - 2>5 - 2
t + 0> 3
t>3
Hence the solution t = 4 is not true for the expression. The solution is t > 3
C) Given the expression x-2=2, to get the solution to the expression, you will add 2 to both sides of the equation;
x - 2+ 2 = 2 + 2
x + 0 = 4
x = 4
Therefore x = 4 is the solution of this equation.
Based on the question, only Option C is correct
The length of the rectangular base is 9in
<h3>How to determine the value</h3>
It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;
Volume = lwh/3
Where;
- l is the length of the rectangular base of the pyramid
- w is the width of the rectangular base of the pyramid
- h is the height of the rectangular base of the pyramid
Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;
168 = l × 7 × 8/ 3
cross multiply
l × 7 × 8 = 168(3)
Find the product
56l = 504
To determine the length, divide both sides by 56, we get;
l = 504/ 56
l = 9In
Hence, the value is 9in
Learn more about volume here:
brainly.com/question/463363
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Answer:
x ≈ 8.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin75° = 
= 
= 
( multiply both sides by 9 )
9 × sin75° = x , then
x ≈ 8.7 ( to the nearest tenth )
Answer:
D
Step-by-step explanation:
To convert from polar to rectangular form
• x = rcosΘ , y = rsinΘ
• r = 
⇒ r² = x² + y²
Given
r = 8cosΘ
r = 8 × 
( multiply both sides by r )
r² = 8x, hence
x² + y² = 8x ⇒ D
