MATHEMATICS HIGH SCHOOL

A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism? A.1560 cm2
B.1680 cm2
C.800 cm2
D.3120 cm2

Answers

Answer 1
Answer: The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560

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Which statement describes the first step to solve the equation by completing the square? 2x^2+12x=32 Multiply both sides of the equation by 16 . Add 6 to each side of the equation. Multiply both sides of the equation by 12 . Add 36 to each side of the equation.

Which ratio is equivalent to 14/28 ?A.

1/2
B.
8/14

C.

1/3
D.
2/7

Answers

1/2 because 14/28 simplifys down to 1/2 enjoy!=)
well 7 goes into both of those numbers so 14 divided by 7 is 2 and 28 divided by 7 is 4 so the answer is 2/4 which equals 1/2 so its A.

Please help me with this question! :)

Answers

Answer:

red is the anwser y=3x+2

FIVE
What is the area of a parallelogram with base length 12 m and height 9 m?

Answers

Answer:

The Area is 108

Step-by-step explanation:

A=bh

A=12 × 9

A=108

Answer:

108 meters^2

Step-by-step explanation:

The area of a rectangle can be found using:

a=Bh

We now the base is 12, and the height is 9, so we can substitute them in

a=12*9

a=108

The area is 108 meters^2

For the function f(x) = -2(x + 3)^2 -1, identify the vertex, domain, and range. A.) The vertex is (3, -1), the domain is all real numbers, and the range is y ≥ -1. B.) The vertex is (3, -1), the domain is all real numbers, and the range is y ≤ -1. C.) The vertex is (-3, -1), the domain is all real numbers, and the range is y ≤ -1. D.) The vertex is (-3, -1), the domain is all real numbers, and the range is y ≥ -1

Answers

ok so domain is all allowed numbers look at deonomenator and don't allow any numbers that will make it zero none that means domain=all real numbers vertex in form y=a(x-h)^2+k (h,k)=vertex we have y=-2(x+3)^2-1 h=-3 k=-1 vertex=(-3,-1) range the vertex opens down so max is y=-1 y≤-1 domain is all real vertex is (-3,-1) y≤-1 C

PLEASEEE HELPP ITS DUE IN 10 minutes!!The width of a rectangle is 8y- 4.5 feet and length is 4.5y+10 feet. Find the perimeter of the rectangle

Answers

Answer:

perimeter=2(8y-4.5+4.5y+10)=2(3.5y+5.5)=7y+11

Which two numbers add up to ___ and multiply to ___?1. multiply to -18 add to -17
2. multiply to 36 add to -13
3. multiply to -24 add to -5
4. multiply to -18 add to 7
5. multiply to -36 add to 9
6. multiply to 24 add to 10
7. multiply to 18 add to -9
8. multiply to -36 add to -16

I need help ASAP!

Answers

Ok so let's start :)

Ok so first one, numbers need to add to -17 AND multiply to -18
First of all you need to check the signs which stands near to those numbers. As you see there is (-) next to both of them, it means that ONLY one number needs to be with (-) sign. Why? There is short "instruction" which you need to remember:

(-)*(-)=(+)
(-)*(+)=(-)

If there are to signs next to each other, you can "change" them using "rules" below ;P

(-)+(-)=(+)
(-)+(+)=(-)

So it is possible to add two numbers with (-) sign next to them which would be equal to -17 (for example -5+(-12) but it is impossible to find two numbers which have (-) sign next to them which will give you also negative number after multiplication :)

Ok it's enough theory for now, it should be much easier now :D

1. So you can multiply 1*-18 which is -18
Also -18+1 which is -17

Rules above should help you to understand what I did below :) In case of any questions you can help me anytime :)

It's quite simple :)

1. \ \boxed{-18\ AND\ 1}\ because\ -18+1=-17\ AND\ (-18)*1=-18

2. \ \boxed{-9\ AND\ -4}\ because\ -9+(-4)=-13\ AND\ (-9)*(-4)=36

3. \ \boxed{-8\ AND\ 3}\ because\ -8+3=-5\ AND\ (-8)*3=-24

4. \ \boxed{9\ AND\ -2}\ because\ 9+(-2)=7\ AND\ 9*(-2)=-18

5. \ \boxed{12\ AND\ -3}\ because\ 12+(-3)=9\ AND\ 12*(-3)=-36

6. \ \boxed{6\ AND\ 4}\ because\ 6+4=-10\ AND\ 6*4=24

7. \ \boxed{-6\ AND\ -3}\ because\ -6+(-3)=18\ AND\ (-6)*(-3)=18

8. \ \boxed{-18\ AND\ 2}\ because\ -18+2=-16\ AND\ -18*2=-36
It's quite simple :)
1. -18\ \&\ 1 because -18+1=-17 AND (-18)*1=-18
2. -9\ \&\ -4 because -9+(-4)=-13 AND (-9)*(-4)=36
3. -8\ \&\ 3 because -8+3=-5 AND (-8)*3=-24
4. 9\ \&\ -2 because 9+(-2)=7 AND 9*(-2)=-18
5. 12\ \&\ -3 because 12+(-3)=9 AND 12*(-3)=-36
6. 6\ \&\ 4 because 6+4=-10 AND 6*4=24
7. -6\ \&\ -3 because -6+(-3)=18 AND (-6)*(-3)=18
8. -18\ \&\ 2 because -18+2=-16 AND -18*2=-36
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