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Andreyy89
3 years ago
5

What is the value of x in this equation

Mathematics
2 answers:
eduard3 years ago
7 0
The the first one the answer should be -4

For the second one the answer should be 3
Damm [24]3 years ago
5 0

Answer: Simplifying

4a + 3(a + 1) = 24

Reorder the terms:

4a + 3(1 + a) = 24

4a + (1 * 3 + a * 3) = 24

4a + (3 + 3a) = 24

Reorder the terms:

3 + 4a + 3a = 24

Combine like terms: 4a + 3a = 7a

3 + 7a = 24

Solving

3 + 7a = 24

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 7a = 24 + -3

Combine like terms: 3 + -3 = 0

0 + 7a = 24 + -3

7a = 24 + -3

Combine like terms: 24 + -3 = 21

7a = 21

Divide each side by '7'.

a = 3

Simplifying

a = 3

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5.43 + .83 * 5 = 5.43 + 4.15 = $9.58

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2 years ago
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1.When all the three cut outs of the angles A, B, C placed adjacent to each other at a point, then it forms a line forming a straight angle, i.e. 180°.

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8 0
3 years ago
Factor 72y + 108z to identify the equivalent expressions​
ra1l [238]

36(2y+3z) and 12(6y+9z)

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3 years ago
10
Novay_Z [31]

Answer:

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎

Step-by-step explanation:

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)

Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

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