Answer:
Thus, the value of x = -36 when y = 15
Step-by-step explanation:
We know that if y varies directly with x, we can express the relationship such as
y ∝ x
y = kx
k = y/x
where 'k' is called constant of variation.
Given
y = -5
x = 12
Using the equation
k = y/x = -5/12
Thus, the value of k = -5/12
Finding x when y = 15
y = 15
k = -5/12
substituting y = 15 and k = -5/12 in the equation
y = kx
15 = -5/12 (x)
15×12 = -5x
180 = -5x
divding both sides by -5
-5x/-5 = 180/-5
x = -36
Thus, the value of x = -36 when y = 15
Answer:
Step-by-step explanation:
Suppose number is x
Following equation can be written from question statement
Simplifying it further
<u><em>Answer:</em></u>
There are 7 zeroes in the standard form of 10⁷
The number is: 10,000,000
<u><em>Explanation:</em></u>
<u>A power</u> represents how many times this number is multiplied by itself
<u>For example:</u>
x² means we will multiply x by itself 2 times (x * x)
x⁵ means we will multiply x by itself 5 times (x * x * x * x * x)
<u>The standard form</u> of a number means the number written with no powers
Now, the given number is 10⁷
<u>This means that:</u>
The number is 10 multiplied by itself 7 times
10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000 .........> standard form
We can observe that it has 7 zeroes
Hope this helps :)
To construct a perpendicular bisector, we have to draw two arcs using each of the endpoints as centers
<h3>What is a perpendicular bisector?</h3>
A perpendicular bisector is said to be a line that intersects the segment of another line perpendicularly and also divides it into two equal parts.
The properties of a perpendicular bisector include:
- It divides a line segment into two equal parts
- It makes right angles with the line segment.
- Points in the perpendicular bisector are equal from the line of the segment.
Hence, all the mentioned properties are correct except that to construct it, we have to draw two arcs using each of the endpoints as centers.
Learn more about perpendicular bisector here:
brainly.com/question/21752287
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