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VMariaS [17]
4 years ago
13

How do you find the surface area

Mathematics
2 answers:
olya-2409 [2.1K]4 years ago
6 0
<span>The formula for the surface area of a triangular prism is SA = bh + (s1 + s2 + s3)H. In this formula, "b" is the triangle base, "h" is the triangle height, "s1," "s2" and "s3" are the three triangle sides, and "H" is the length of the prism.
Hope it works! </span>
AysviL [449]4 years ago
3 0
I hope this helps you



2 triangles Area= 2.15.8/2=120


2 rectangles Area =2.7.17=238


2 rectangles Area =2.7.8=112


120+238+112


470
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Write an equation for the polynomial function that has 2 and -3 + 5i as zero
AysviL [449]

Answer:

p(x) = {x}^{3}  + 4{x}^{2}  + 22x- 68

Step-by-step explanation:

We want to write an equation for the polynomial function with roots;

x = 2

and

x =  - 3 + 5i

Note that complex roots come in pairs and in conjugates.

Therefore

x =  - 3 - 5i

is also a root.

By the factor theorem:

(x-2), (x+3+5i), and (x+3-5i) are factors of the polynomial.

Let p(x) be the polynomial, then in factored form.

p(x) = (x - 2)(x + 3 + 5i)(x + 3 - 5i)

We expand now to get:

p(x) = (x - 2)( {x}^{2}  + 3x  -  5ix + 3x + 9 - 15i + 5ix + 15i + 25)

Simplify now

p(x) = (x - 2)( {x}^{2}  + 6x +34)

We expand further;

p(x) = x( {x}^{2}  + 6x + 34) - 2( {x}^{2}  + 6x + 34)

p(x) = {x}^{3}  + 6 {x}^{2}  + 34x - 2 {x}^{2}   - 12x  - 68

p(x) = {x}^{3}  + 4{x}^{2}  + 22x- 68

8 0
3 years ago
What is the midpoint of the line segment with endpoints (2, 14) and (6, 19)
dedylja [7]

Answer:

(4, 15)

Step-by-step explanation:

let (x,y) is the mid point of line segment with endpoints (2,14) and (6,19)

we have,

x = (2+6)/2 = 4

y = (14+16)/2 = 15

Hence the midpoint of the line segment with endpoints (2,14), (6,19) is (4,15)

4 0
3 years ago
In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer thank Noah, and Noah scores thr
asambeis [7]

Answer:

if mai scores 5 points and noah scores three times that, then he scored 15. tyler scored 4 less than noah (11 points) and elena scored twice as many points as tyler, 22 points

5x3=15

15-4=11

11x2=22


3 0
3 years ago
What is the volume of a shoe box with length 13 inches, width 7 inches, and height 5 inches?
Rudiy27
The answer to the question would be 455
5 0
3 years ago
Which of the following shows the factors of 5x2 + 17x + 6? A. (5x + 1)(x + 6) B. (5x + 2)(x + 3) C. (5x + 3)(x + 2) D. (5x + 6)(
zysi [14]

Answer:

B. (x+3)(5x+2)

Step-by-step explanation:

The given quadratic trinomial is;

5x^2+17x+6

Comparing this to ax^2+bx+c, we have a=5,b=17,c=6.

ac=5\times6=30

Two factors of 30 that add up to 17 is 15  and 2.

We split the middle term to obtain;

5x^2+15x+2x+6

We factor by grouping;

5x(x+3)+2(x+3)

Factor further

(x+3)(5x+2)

The correct answer is B.

5 0
4 years ago
Read 2 more answers
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