The Simplification of the expression 7 exponent 7/7 exponent 4 is 7³
<h3>Exponent</h3>
7 exponent 7/7 exponent 4
= 7^7 ÷ 7^4
Using the law of indices which states that:
- Division of an exponential expression with equal base should be subtracted
7^7 ÷ 7^4
= 7^(7-4)
= 7^3
Therefore, the Simplification of the expression 7 exponent 7/7 exponent 4 is 7³
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We have been given that Lori runs 3 miles in 30 minutes.
First of all, we will find rate at which Lori runs per minute as:
We know that 1 minute equal 60 minutes. Let us convert speed into miles per hour as:
Therefore, Lori runs 6 miles per hour.
We have been given that Alexis runs 2 kilometers in 15 minutes.
We will find rate at which Alexis runs per minute as:
1 km = 0.621371 miles.
8 km = miles.
Therefore, Alexis runs 5 miles per hour.
Since Lori' speed is greater than Alexis's, therefore, Lori ran the fastest.
The area of the enlarged picture on the wall is gotten as; D: 486 in²
<h3>How to use center of Dilation?</h3>
The formula for Linear scale factor is;
L.S = Image distance/object distance
Thus, from the attached image, we can find the Linear scale factor as;
L.S = OL'/OL
L.S = 54/ 12
L.S = 9/2
Area scale factor is equal to the square of linear scale factor. Thus;
Area scale factor = (9/2)²
Area scale factor = 81/4
Now,
81/4 = Area of larger rectangle/Area of smaller rectangle
Area of the smaller rectangle = 4 ×6 = 24 in²
Thus;
Area of enlarged picture on wall = (81/4) × 24
Area of enlarged picture on wall = 486 in²
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200 is the answer i know this because 40%of 200 is 80
1) x^2=64 is the same as x=the root of 64 which gives us: (+-)8
2) here you must us pq-formel as:
5m^2-5m=60
5m^2-5m-60=0
(m^2-5m-60)/5=0
m^2-m-12=0
m=0,5(+-) the root of 0,25+12
m=0,5(+-)3,5
m1=0,5+3,5
m2=0,5-3,5
15) x^2=7x
x^2-7x=0 here there is two x, so:
x(x-7)=0
x1=0
x2=7
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Here you can only use PQ formula in all the others, just as I did in the question number 2</span>