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umka21 [38]
2 years ago
14

Using the following image, solve the problems below given that B is the midpoint of AC.

Mathematics
1 answer:
ladessa [460]2 years ago
3 0

Answer:

AB = 4

BC = 4

AC = 8

Step-by-step explanation:

Given, B is the midpoint of AC which means it divided the AC into two equal parts. Using this information we can write the following equation:

5x - 6 = 2x add 6 to both sides

5x = 2x + 6 subtract 2x from both sides

3x = 6 divide both sides by 3

x = 2 to find the length of AB, AC, and BC replace x with 2

AB = 5*2 - 6

BC = 2*2

AC = 8 (sum of AB and BC)

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Find (F/g)(x)<br> F(x) = sqrt x^2-1<br> g(x) sqrt x-1
Margaret [11]

Answer:

Option A. √(x + 1)

Step-by-step explanation:

Data obtained from the question include:

f(x) = √(x² – 1)

g(x) = √(x – 1)

(f/g) (x) =..?

(x² – 1) => difference of two square

(x² – 1) => (x – 1)(x + 1)

f(x) = √(x² – 1)

f(x) = √(x – 1)(x + 1)

(f/g) (x) = f(x) /g(x)

f(x) = √(x – 1)(x + 1)

g(x) = √(x – 1)

(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)

(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]

(f/g) (x) = √(x + 1)

7 0
3 years ago
Property in equation. Find the value of n. 5+4= n+4
Nuetrik [128]
5+4 = n+4
9 = n+4
n = 5
4 0
3 years ago
6. All angles in the figure below are right angles. What is the area of the figure? (4 point)
jok3333 [9.3K]

Answer:

Area the figure = 45 - 9 = 36 units² ⇒ last answer

Step-by-step explanation:

<em>"I have added screenshot of the complete question as well as the diagram"</em>

All the angles of the figure are right angles

<u>From the attached figure:</u> <em>we can find the area of the figure by subtracting the area of the cutting part from the area of the rectangle of dimensions 9 units and 5 units</em>

∵ All the angles of the figure are right angles

∴ We can consider that the figure of dimensions 9 units and 5 units

  as a rectangle

∵ Area of any rectangle A = L × H , where L, H are the dimensions

  of the rectangle

∵ L = 9 units and H = 5 units

∴ Area of the rectangle = 9 × 5 = 45 units²

- The dimensions of the cutting part are 3 units and

  [9 - (2 + 4) = 9 - 6 = 3 units]

∴ The cutting part is a square

∵ Area any square = S², where S is the length of the side of the square

∵ S = 3 units

∴ The area of the cutting part = 3² = 9 units²

∵ Area of the figure = area rectangle - area square

∵ Area the rectangle = 45 units²

∴ Area the square = 9 unit²

∴ Area the figure = 45 - 9 = 36 units²

5 0
3 years ago
Angles 1 and 2 are supplementary.
Phantasy [73]

Answer:

m∡1 + m∡2 = 180

Step-by-step explanation:

m∡1 + m∡2 = 180

This is because supplementary means they add up to 180°.

3 0
3 years ago
Factor 75t2 + 12.<br> 3(5t + 2)2<br> 3(25+2 +4)<br> 3(251-4)
frosja888 [35]

Answer:

75t^2+12=3(25t^2+4)

Option C)

Step-by-step explanation:

Here we are given with the expression 75t^2+12

The GCF of 75t^2 and 12 is 3

Hence we take 3 as GCF and bring it in front of the bracket.

3(25t^2+4)

It can not be factorise furthure  as there is no GCF of 25 and  also there is no rule for sum of squares so that we may apply it on this. Hence the answer would be

3(25t^2+4)

Option C)

4 0
3 years ago
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