4. What is the volume of the pyramid? 7 ft 9 ft 10 ft

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

8 0

Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.

The volume of this pyramid = (7 x 9 x 10)/3 = 630 / 3 = 210 cu ft

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Please help I’ll give brainiest! Make sure to tell me steps by steps!:D

asambeis [7]

Answer:

see below

Step-by-step explanation:

h(x) = 2x-10

Let x=3

h(3) = 2*3 -10

= 6-10

Let x=-3

h(-3) = 2*-3 -10

= -6-10

=-16

6 0

3 years ago

Find the two intersection points

bogdanovich [222]

Answer:

Our two intersection points are:

$\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)$

Step-by-step explanation:

We want to find where the two graphs given by the equations:

$\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1$

Intersect.

When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

Since the linear equation is easier to solve, solve it for y:

$\displaystyle y = -\frac{3}{4} x + \frac{1}{4}$

Substitute this into the first equation:

$\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16$

Simplify:

$\displaystyle (x+1)^2 + \left(-\frac{3}{4} x + \frac{9}{4}\right)^2 = 16$

Square. We can use the perfect square trinomial pattern:

$\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16$