Find the volume of the prism

Answer:

D (4.34,3.22)

Step-by-step explanation:

Line Y (2,4), (-4,6)

**y=mx+b   slope-intercept form

  m=slope; b=y-intercept

[tex]m_Y=(6-4)/(-4-2)=2/-6=(-1/3)\\y=-1/3x+b[/tex]

plug in 1 point

[tex]4=-1/3(2)+b; b=14/3[/tex]

Line Z (8,8) (-5,9)

[tex]m_Z=(8-(-9))/(8-(-5))=17/3\\y=(17/3)x+b\\8=17/3(8)+b; b=-32/13\\[/tex]

Substitution

[tex]-\frac{1}{3} x +\frac{14}{3}=\frac{17}{13}x-\frac{32}{13} : x=139/32\\y=-\frac{1}{3}(\frac{139}{32})+\frac{14}{3}\\ : y=103/32[/tex]

Basic quadratic expression:

[tex]ax^2+bx+c[/tex]

[tex]2x^2+5x-42[/tex]

Factoring a quadratic expression when a ≠ 0

1.  Multiply a and c values (ac=k)

[tex]2(-42) = -84[/tex]

2. Find a factor pair whose sum adds to b and has the product of k

[tex]-7,12[/tex]  

[tex]-7(12)=-84[/tex]           [tex]-7+12=+5[/tex]

3. Replace the middle term (bx) with newfound values

[tex]2x^2 +12x-7x-42[/tex]

4. Factor by grouping

[tex]2x(x+6) -7(x+6)[/tex]

5. Perform the last factorization

[tex](2x-7)(x+6)[/tex]

Therefore , the solution of the given problem of slope comes out to be  

M = 1/2.

What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient. The slant is the proportion of both the vertical difference (rise) over the distance between two locations to the lateral change (run) over the same distance. Hill form of an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b equals a, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c.

Here,

Given : (0,-3) and (-2,-4)

Thus,

To calculate the slope ,

We use formula:

=> M = y2 -y1 /x2-x1

=> M = -4 -(-3) / -2 - 0

=> M = -1 /-2

=> M = 1/2

Therefore , the solution of the given problem of slope comes out to be  

M = 1/2.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ4

Yes, there is an association between the state and the amount of median debt for graduates.

Median debt is the midpoint of a range of debt levels for a specific group of people or organizations. This debt is usually reported as the sum of all loans and credit card balances owed by the group, divided by the total number of people or organizations in the group. Median debt is different from average debt, as it is not affected by extreme values. Median debt is a good measure of the financial health of a group because it provides an indication of the typical amount of debt held by an individual or organization.

In California, the median debt for graduates is significantly lower than in New York, with 130 graduates having median debt less than $9,000 and 445 graduates having median debt at least $9,000. In New York, 72 graduates have median debt less than $9,000 and 271 graduates have median debt at least $9,000. This indicates that graduates from California universities are more likely to have lower median debt than graduates from New York universities.

To know more about median debt click-
https://brainly.com/question/1820596
#SPJ4

Answer:

you would multiply 17% by  228,000

Step-by-step explanation:

you would get 177840

Answer:

62 [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Answer:

The answer is the square root of 53, or about 7.28.

Step-by-step explanation:

To find the distance between two points, you use the formula [tex]\frac{y_{2} -x_{2}}{y_{1} -x_{1} }[/tex]. When we insert the coordinates given, you get the square root of 53, or 7.28.

Answer:

the answer is 5 lists

hope this helps

Answer: B. 9(−7+10x^2)

Step-by-step explanation: 9(−7+10x^2)

=(9)(−7+10x^2)

=(9)(−7)+(9)(10x^2)

=−63+90x^2

We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

To learn more about congruent triangles, visit:

https://brainly.com/question/2938476

#SPJ4

We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

To learn more about congruent triangles, visit:

brainly.com/question/2938476

#SPJ4

The two (2) possible locations of point F include the following: F. [7, 9.5].

In this scenario, line ratio would be used to determine the coordinates of the point on the directed line segment that partitions the segment into a ratio of 5 to 3.

Mathematically, line ratio can be used to determine the coordinates of F and this is modeled by this mathematical expression:

F(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Given the following parameters:

Point (x, y)= (4, 11)

Point (x, y) = (8, 9)

m:n = 3:1

Substituting the given parameters into the line ratio formula, we have;

F(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

F(x, y) = [(3(8) + 1(4))/(3 + 1)],  [(3(9) + 1(11))/(3 + 1)]

F(x, y) = [(24 + 4)/(3 + 1)],  [(27 + 11)/(3 + 1)]

F(x, y) = [(28)/(4)],  [(38)/(4)]

F(x, y) = [7, 9.5]

Read more on line ratio here: brainly.com/question/14457392

#SPJ1

The person that will finish the series first is;

Ravi will finish first, because even though Manish has read more as of today, Ravi reads faster overall.

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Total pages manish has read as at today = 544 pages

He reads at the same pace and after 8 days he has read 928 pages. Thus, the equation that represents the number of pages that Manish has read is; 928 = 8m + 544

922 - 544 = 8m

m = 378/8

m = 47.25

Thus, his rate is 47.25 pages per day

The equation for Ravi is y = 51x + 594

This shows a rate of 51 pages per day

Thus, Ravi will finish first

Read more about Linear Equation Problems at; https://brainly.com/question/13738662

#SPJ1

Answer:

2-6

3-9

5-15

6-18

2-6

4-12

5-15

8-24

Step-by-step explanation:

Multiply by 3

There are 24 ways for Alice, Bob, and Charlie to buy pets and leave the store satisfied. They could each buy a puppy, a kitten, and a hamster, or they could each buy a different combination of the three types of pets.

To learn more about the combination theory refer to:

https://brainly.com/question/27824009

#SPJ4

Answer:

-8

Step-by-step explanation:

-6+(-2)

-6 - 2

= -8

-8

6+2=8

Then make it negative

Therefore the answer is -8

Mark me brainliest

Answer:

9x^3-17x^2-x+7

Step-by-step explanation:

Distribute the negative you'll get

(12x^3-8x^2)+(-3x^3-9x^2-x+7)

Combine like terms

12x^3-3x^3=9x^3 , -8x^2-9x^2=-17x^2 , -x , +7

Putting it all together:

9x^3-17x^2-x+7

Answer:

(-5 , 6)

Step-by-step explanation:

f(x) = (x - (-5))² - 3     ... vertex (h , k) : (-5 , -3)     y = (x-h)² + k

g(x) = -f(x) + 3 = -((x+5)² - 3) + 3 = -(x + 5)² + 6

vertex of g(x) is : (-5 , 6)

Answer:

I believe it is 27.6

Step-by-step explanation:

I'm not really sure, I just multiplied. Hope this helps.

Answer:

B. at the mall

Step-by-step explanation:

The largest angle formed during his trip is at the mall.

Answer:

56=78b

Step-by-step explanation:

The vertices of quadrilateral MNPQ are M(28, 1), N(3, 4), P(7, 21), and Q(24, 24).

a. The coordinates of M' are (16,4) after a translation. State the translation rule.

b. Use GeoGebra to complete a 90° rotation around the origin

The pairs of alternate interior angles are <5<4 and <6<3

To learn more about alternate interior angles refers to:

brainly.com/question/24839702

#SPJ1

Answer: $41.3

Step-by-step explanation:

this month late = 158 - 40 = 118

7× $0.05 = $0.35

118 × $0.35 = $41.3

Answer:

look at the picture I sent

Answer:

AB=6

Step-by-step explanation:

Answer:

AB = 6

Step-by-step explanation:

12 / 2 = 6

Answer:

s = 11.cm

Θ = 2.2.radians

Step-by-step explanation:

Answer:

9 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

I don't think there's enough information here to answer your question