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AleksAgata [21]
2 years ago
13

Distribute and simplify the following:3 ( x + 4) + 2 ( 5 - x)​

Mathematics
1 answer:
lesya [120]2 years ago
4 0

Step-by-step explanation:

Given

3 ( x + 4) + 2 ( 5 - x)

= 3x + 12 + 10 - 2x

= x + 22

Hope it will help :)❤

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What fraction does this number-line show? (I Put a Picture)
Rina8888 [55]

Answer:

1/2

Step-by-step explanation:

The equal distance between 0 and 1 must be one-half or 1/2.

4 0
3 years ago
Read 2 more answers
What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 4?
ss7ja [257]

Answer:

B

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each of the coordinates by 4 , that is

A (0, 10 ) → A' (4(0), 4(10) ) → A' (0, 40 )

B (8, 6 ) → B' (4(8), 4(6) ) → B' (32, 24 )

C (4, 2 ) → C' (4(4), 4(2) ) → C' (16, 8 )

6 0
3 years ago
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
3 years ago
Todd is 81 years younger than Rosa. 3 years ago, Rosa’s age was 4 times Todd’s age. How old is Todd now?
Delvig [45]
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30

Todd is 30 now.

_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
8 0
3 years ago
A circle has a circumference of 25 meters. Find the length of an arc formed from a
creativ13 [48]

Answer:

If circumference = 25, then 90 degrees (one quarter of a circle) = 25 / 4 = 6.25 meters.

Step-by-step explanation:

7 0
3 years ago
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