So basically, these questions want you to find the variable<em> x</em>, which you can do by isolating the variable.
3) x * 1/2 = 1/3 <-- To isolate the x in this case, you want to divide both sides by 1/2, aka multiply by 2.
x = 2/3
4) x * 3 = 2 <-- To isolate x, you want to divide both sides by 3
x = 2/3
5) 1/4 * x = 1/6 <-- To isolate x, you want to divide both sides by 1/4, aka multiply by 4.
x = 4/6 = 2/3
6) 4 1/2 * x = 1 1/2 <-- First, let's make these into improper fractions
9/2 * x = 3/2 <-- To isolate x, you want to divide both sides by 9/2, or multiply both sides by 2/9
x = 6/18 = 2/3
Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
An expression is defined as a set of numbers, variables, and mathematical operations. The value of (3√x + 7), when the value of x is 25 is 22.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of (3√x + 7), when the value of x is 25 is,
3√x + 7
= 3√25 + 7
= 3(5) + 7
= 22
Hence, The value of (3√x + 7), when the value of x is 25 is 22.
Learn more about Expression:
brainly.com/question/13947055
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Answer:
The slope of the line is zero.
Step-by-step explanation:
The slope is zero. This is a perfectly horizontal line passing through y=−3 .
