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Goshia [24]
2 years ago
12

A is the point with coordinates (-2,d) B is the point with coordinates (4,15) The line AB has gradient 1/2 Work out the value of

d​
Mathematics
1 answer:
anygoal [31]2 years ago
6 0

Answer:

d=12

Step-by-step explanation:

15-d/4+2=1/2

15-d/6=1/2

2(15-d)=6

30-2d=6

30-6=2d

24=2d

d=12

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F(x) = x - 5; translation 7 units right
Jet001 [13]

Answer:

f(x-7) =  x -12

Step-by-step explanation:

horizontal translation 7 units right: f(x-7)

f(x) = x - 5

f(x-7) = x-7 -5 = x -12

6 0
2 years ago
X+1<br> -<br> and h(x) = 4 - X, what is the value<br> Oil CD<br> Nior<br> wla<br> olo
timofeeve [1]

Answer:

8/5

Step-by-step explanation:

(g\circ h)(-3) means g(h(-3)).

Start with the inside first: h(-3).

h(-3) means use the function called h and replace the x with -3.  The expression that is called h is 4-x.

4-x evaluated at x=-3 gives us 4-(-3)=4+3=7.

So the value for h(-3) is 7, or h(-3)=7.

Now this is what we thus far:

(g\circ h)(-3)=g(h(-3))=g(7).

g(7) means use the function called g and replace x with 7.   The expression that is called g is (x+1)/(x-2).

(x+1)/(x-2) evaluated at x=7 gives us (7+1)/(7-2)=(8)/(5)=8/5.

This is our final answer:

(g\circ h)(-3)=g(h(-3))=g(7)=\frac{8}{5}.

7 0
3 years ago
How many Solution(s) does have 5=5? <br> Infinite, none, or one solution(s)?
Nataly [62]

Answer:

infinite solutions

Step-by-step explanation:

any equation that is like that has infinite solutions such as 7=7 or 2=2

8 0
3 years ago
In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria
Effectus [21]

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

8 0
3 years ago
Read 2 more answers
What is the least common multiple of 14, 20, and 15?
Komok [63]

14, 15, 20 | 2

7, 15, 10 | 2

7, 15, 5 | 3

7, 5, 5 | 5

7, 1, 1 | 7

1, 1, 1

Answer: \bf2^{2} × 3 × 5 × 7 = 420

Hope it helped,

Happy homework/ study/ exam!

7 0
3 years ago
Read 2 more answers
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