Hello from MrBillDoesMath!
Answer: b = 4, h = 13
Discussion:
For a triangle with base b" and height "h, the area formula is
A= (1/2)bh.
In our case A = 26, h = 5b-7, so
26 = (1/2) b (5b-7). Multiply both sides by 2:
26*2 = b(5b-7) =>
52 = b(5b-7) =>
52 = 5b^2 - 7b => (subtract 52 from both sides)
5b^2 - 7b - 52 = 0. This factors as follows:
(b - 4) (5 b + 13) = 0 (use quadratic formula to find this)
so b = 4 and h = 5b -7 = 5*4 - 7 = 13
Thank you,
MrB
Answer:
A) 
gallons
B) Distance between Town A and Town B is 
miles
Step-by-step explanation:
A)
We know, number of gallons = 
if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:
Number of Gallons = 
B)
Now, given is number of gallons = 2y & we know mpg is 24; <em>so what is the distance?</em>
We use the same formula and solve for distance (let distance between A and B be "D"):
A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
Answer:
Right angles is 90° so 90°+30°=120°.A straight line is 180°. So you do 180°-120° which is 60. So A=60°
Answer:
1 because Because the right number will be the Y intercept an in the left number will the X interception
