Answer:
Step-by-step explanation:
<u>Given system:</u>
In order to solve it graphically, graph both lines and find the point of their intersection.
Graphing easy if you plot the x- and y- intercepts and connect them with a line.
<em>See attached.</em>
Both lines have same x-intercept, which is also the solution: (2, 0)
Answer:
see explanation
Step-by-step explanation:
Given that U is the midpoint of TV, then
TU = UV , substitute values
8x + 11 = 12x - 1 ( subtract 12x from both sides )
- 4x + 11 = - 1 ( subtract 11 from both sides )
- 4x = - 12 ( divide both sides by - 4 )
x = 3
Thus
TU = 8(3) + 11 = 24 + 11 = 35
UV = 12(3) - 1 = 36 - 1 = 35
Answer:
$114.48
Step-by-step explanation:
Answer:
p > 7
Step-by-step explanation:
Distribute the parenthesis on the left side
4p - 16 > 12 ( add 16 to both sides )
4p > 28 ( divide both sides by 4 )
p > 7
9514 1404 393
Answer:
52°, 40°, 88°
Step-by-step explanation:
Let x represent "one angle". This is 30% larger than "the other", so we have ...
x = "the other" × (1 +30%)
x/1.30 = "the other"
If x is 36° smaller than the third, then the third is x+36.
__
The sum of the angles is 180°.
x + x/1.3 + (x +36) = 180
x(2 +1/1.3) = 144
x = 144/(2 +1/1.3) = 52
x/1.3 = 52/1.3 = 40
x +36 = 88
The angles of the triangle are 52°, 40°, and 88°.
