Answer:
length is 20 and the width is 5
Step-by-step explanation:
so Area is 100
Area = width * length
legth = 4 * width
This means:
Area = width * 4 width => Area = 5 * width
We know that area is 100 so:
100 = 5 * width
that means width = 20, but wait didn't I say that the length is 20? Yes, remember we said length = 4 * width at the beginning, so <u>length = 20</u>.
Now we can easily calculate width as width is 4 times smaller than length, so:
<u>width = 20/4 => 5</u>
We can also test if this is correct by simply using the formula to calculate rectangle. So 5 * 20 = 100, correct!
Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Answer:
x = -3 +/- square root(22)
Step-by-step explanation:
x = -b +/- square root(b^2 - 4ac) / 2a
ax^2 + bx + c = 0
these are both the quadratic formula but one is solved for the x and another for 0
a= 1
b= 6
c = -13
x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)
x = -6 +/- sqrt( 36 + 52) / 2
x= -6 +/- sqrt (88) / 2
sqrt of 88 = 2 x sqrt (22)
divide 2 on each
x= -3 +/- sqrt (22)
