Answer:
X=2
Y=8
Step-by-step explanation:
Since both equations are equal to y we can equal both equations
2x+4=x+6
x=2
y=2(2)+4
y=8
Answer:
The shape can be broken into a rectangular prism and a triangular prism.
The volume of the ramp is 24 feet cubed.
Step-by-step explanation:
The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.
The volume of a rectangular prism = Bh
where
B = base area
B = length × width
h = height
volume = 1.5 × 4.8 × 2 = 14.4 ft³
The volume of a triangular prism = base area + slant height
volume = 1/2 b × h × l
where
b = base of the triangle
h = height of the triangle
l = slant height of the prism
volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6 ft³
The volume of the ramp = 14.4 + 9.6 = 24 ft³
Answer:
2.44
Step-by-step explanation:
Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6
Also, R1 + R2 = 6
in order to find the value of a:
Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6
Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).
Then,
R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6
R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10
Now,
R1 + R2 = 6
5a - 6 + 4a - 10 = 6
9a = 22
a=2.44
Therefore, Value of a is 2.44
11 is 110 for x and y
12 is 90 degrees for x and y
13 is also 90 degrees for x and y
8 (2x - 14) + 13 = 4x -27
distribute 8 through the parentheses
16x - 112 + 13 = 4x - 27
combine like terms
16x - 99 = 4x -27
subtract 4x from each side
12x - 99 = -27
add 99 to each side
12x = 72
divide each side by 12
x = 6
