Answer:
x = -2 or -18.
Step-by-step explanation:
(x+7)^2 + 6x = 13
x^2 + 14x + 49 + 6x - 13 = 0
x^2 + 20x + 36 = 0
(x + 2)(x + 18) = 0
x = -2, -18.
Answer:
38.5 yards used
Step-by-step explanation:
Yes he has enough fabric
to get the answer you must take the total number of dresses (8) and multiply it by 3 1/2 (3.5) because thats how much it takes to create one dress.
3.5 x 8 = 28
Now take the number of scarfs (14) and multiply it by 3/4 (0.75) because thats now much it takes to create a single scarf
0.75 x 14 = 10.5
now you add both of the answers
10.5 + 28 = 38.5
since 38.5 < 40 it means that he has enough fabric to create all the costumes for the musical
<u />(x/6) + 42 + (2x/5) - (8x/3) - 19
Change the denominators (numbers below the fraction bar to a to a common number for the three numbers: 6, 5, and 3... in other words to a number that is divisible by all three numbers)
(5x/30) + (12x/30) - (80x/30) + 23
(-63x/30) + 23
<u>
</u><u />And the answer is.....
<u>
(-21x/10) + 23</u>
Answer:
Line a is parallel to line b by the Converse of the Same-Side Interior Angles Theorem.
Step-by-step explanation:
find out the statement that conclude are parallel given that m∠7 + m∠11 = 180
angle 7 and 11 are the consecutive interior angles . that is same side interior angles.
angle 7 and 11 are the consecutive interior angles and they are supplementary when the lines are parallel.
Line a is parallel to line b by the Converse of the Same-Side Interior Angles Theorem.
<h3>Given</h3>
a cuboid with length, width, height dimensions 5, 6, x
<h3>Find</h3>
the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume
<h3>Solution</h3>
The volume is given by
... V = L·W·H = 5·6·x = 30x
The area is given by
... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x
When these are equal, we have
... 30x = 60 +22x
... 8x = 60
... x = 7.5
The desired value of x is 7.5.
