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Arlecino [84]
3 years ago
10

Help it’s worth 10 points I’m not very good at math

Mathematics
1 answer:
Andre45 [30]3 years ago
8 0

Domain: [-6, 6]

Range: [-2, 2]

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Please help!!!!!!!!!!
Gnoma [55]

Answer:

The surface of the prism is 84m²

Step-by-step explanation:

You have 4 figures here (two the same triangles)

you need to determine the surface of each and then sum it to one. This will be your final surface.

rectangles:

3*6= 18m²

5*6 = 30m²

4*6 = 24m²

triangles:

You need to determine the square of the triangles from the Heron's formula.

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

S=\sqrt{s(s-a)(s-b(s-c)},

where s is the semi-perimeter of the triangle; that is,

s=\frac{a+b+c}{2}.

So the permimeter of the triangle is

2p=4+5+3 = 12m

p = 6m

S = \sqrt{p*(p-a)*(p-b)*(p-c)}  = \sqrt{6*(6-3)*(6-4)*(6-5)}  = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]

So the surface of the prism is a total sum of all surfaces:

P = 18m²+30m²+ 24m²+2*6m² = 84m²

6 0
2 years ago
Given that f(x) = 2x2 − 96, find x.
NISA [10]
F(x)=2x(2)−96

Step 1: Add -4x to both sides.

xf+ −4x = 4x−96+ −4x

xf −4x= −96

Step 2: Factor out variable x.

x(f−4)= −96

Step 3: Divide both sides by f-4.

x(f−4)/ f−4 = −96/ f−4

x= −96/f−4

Answer:

x= −96/ f−4

3 0
3 years ago
Read 2 more answers
What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2
andre [41]

Answer:

12

Step-by-step explanation:

4 0
2 years ago
Select the correct answer from the drop-down menu.
Fittoniya [83]

Answer:

control group

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find
densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

AC^2 = AB^2 + BC^2

<u>step 2:-</u>

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

(a + b)^2 = a^2 +2ab+b^2

289 = 4x^2 +9(x^2+2x+1)

13x^2 +18x-280 = 0

finding factors  70 X 52 = 3640

13x^2 +70x-52x-280 = 0

13x^2 -52x+ 70x-280 = 0

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and 13x =-70

x=4 and x=\frac{-70}{13}

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

<u></u>AC^2 = AB^2 + BC^2<u></u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0
3 years ago
Read 2 more answers
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