Hello from MrBillDoesMath!
Answer:
x = ( -9 + sqrt(33) ) /4
and
x = ( -9 - sqrt(33) ) /4
Discussion:
Using the quadratic formula with a = 2, b = 9 and c = 6 gives
x = ( -b +\- sqrt(b^2-4ac) )/2a
x = ( -9 +\- sqrt(9^2 - 4*2*6)) / (2*2) =>
x = ( -9 +\- sqrt (81- 48)) / 4 =>
x = ( -9 +\- sqrt(33) ) /4
Thank you,
MrB
Answer:
C. 8
Step-by-step explanation:
8 x 40 = 320$ plus 30$ fee is 350
Answer:
A) 95m²
Step-by-step explanation:
Since the garden is in the shape of a triangle, <u>use the formula for area of a triangle.</u> A = bh/2 or A = 1/2 bh
"A" is for area.
"b" is for base.
"h" is for height.
The area of a triangle is base times height divided by two or half times base times height. Dividing by 2 and multiplying by 1/2 are the same.
<u>The base of the garden is 19m and the height is 10m.</u> The height is always perpendicular (90°) to the base and meet the vertex opposite to the base.
b = 19m
h = 10m
<u>Substitute (replace) the variables in the formula</u> with the values.
A = bh/2
A = (19m)(10m)/2 Multiply 19m and 10m. Don't forget to multiply the units.
A = (190m²)/2 Divide by 2.
A = 95m² Area of garden
When you multiply numbers with units, multiply the numbers, then multiply the units. Add the exponents for the units. The exponent for meters is 1, and 1 + 1 = 2. (m X m = m²)
Therefore, the area of the garden is 95 square meters.
