<h3>hello!</h3>
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First of all, let the number be u.
The product of 7 and u means you should multiply 7 times u:
Now, subtract 4:
This expression equals 17:
[Now, let's Find the Value of u]
First, add 4 to both sides:
Now, divide both sides by 7:
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<h3>notes:-</h3>
Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
The answer is below
Step-by-step explanation:
The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.
Let the hypotenuse be b, length be a and height be c Hence:
b² = a² + c²
b² = 3² + 5²
b² = 9 + 25
b² = 34
b = 5.83 feet
B) The plywood needs to be 5.83 feet long
C) Since the top of the ramp is 10 feet, let us assume the height of the ramp to be 6 feet, hence, the length of the ramp a is:
10² = a² + 6²
100 = a² + 36
a² = 64
a = 8 feet
Answer:
If two triangles Δ RST and Δ XYZ are similar, then corresponding angles are equal and their corresponding sides are proportional.
So here ∠R=∠X, ∠S=∠T and ∠T=∠Z
Answer: stretched by a factor of 2 and translated 8 units right and 5 units down
Explanation:
These is the set of choices that accompany with this question:
<span>a) stretched by a factor of 2 and translated 64 units right and 5 units down
b) stretched by a factor of 8 and translated 8 units right and 5 units down
c) stretched by a factor of 2 and translated 8 units right and 5 units down
d) stretched by a factor of 8 and translated 64 units right and 5 units down
Solution:
</span>Let's work a little the given function to compare it with the parent function.
1) The given function is y = ∛[8x - 64] - 5
2) Extract common factor 8 of the expression inside the square brackets:
y = ∛[ 8( x - 8) ] - 5
3) Extract 8 from the root:
y = 2∛(x - 8) - 5
4) The parent function is ∛x. Call the parent function g(x) => g(x) = ∛x
5) Compare: y is 2 * g(x - 8) - 5
6) Analyze the meaning of that:
g(x - 8) means that the graph of the function is translated 8 units to the right
scaling by 2 means that the graph is stretch vertically (by a scale factor of 2)
- 5 means that the entire graph is shifted 5 units downward.
So, the description of the graph y = ∛(8x - 64) - 5 compared to the parent cube root function is: stretched by a factor of 2 and translated 8 units right and 5 units down
