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nalin [4]
2 years ago
6

What is the value of x ?

Mathematics
1 answer:
sammy [17]2 years ago
8 0

Answer:

<em>5 units </em>

Step-by-step explanation:

BD is geometric mean ⇒ BD² = AD × DC

4x² = 10²  and x > 0

x² = 25  

x = <em>5 units</em>

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min
leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

                                \lim_{x \to -2}  \frac{3(2x-1)^2 - 75}{x+2}.

First, we simplify the expression in the numerator of the fraction.

3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72

Now, we obtain

                         12(x^2-x-6) = 12(x+2)(x-3)

and the fraction is transformed into

                       \frac{3(2x-1)^2 - 75}{x+2} =  \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)

Therefore, the following limit is

       \lim_{x \to -2}  \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2}  12(x-3) = 12 \lim_{x \to -2} (x-3)

You can plug in -2 in the equation, hence

                        12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60

6 0
3 years ago
A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.
sineoko [7]
Easy, find the equation of the line,

Using y=mx+b form:

(-1,3) m=2

3= 2(-1)+b

3= -2+b
+2     +2

5=b

y=2x+5. This is your equation.

Now, plug in the coordinates:

(-3,2)

2= 2(-3)+5
2= -6+5
2= -1

NO

(0,5)

5= 2(0)+5
5=5

YES

(1,5)

5= 2(1)+5
5= 2+5
5=7

NO

(1,4)

4= 2(1)+5
4= 2+5
4=7

NO.

Thus, B, is your answer.


5 0
2 years ago
Help!!! please and thank you :)
Andrews [41]

Answer:

c

d

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If sin(y°) = cos(x°), which of the following statements is true?
Firdavs [7]

Answer:

<u>y = w and ΔABC ~ ΔCDE</u>

Step-by-step explanation:

Given sin(y°) = cos(x°)

So, ∠y + ∠x = 90°  ⇒(1)

And as shown at the graph:

ΔABC is aright triangle at B

So, ∠y + ∠z = 90° ⇒(2)

From (1) and (2)

<u>∴ ∠x = ∠z </u>

ΔCDE is aright triangle at D

So, ∠x + ∠w = 90° ⇒(3)

From (1) and (3)

<u>∴ ∠y = ∠w</u>

So, for the triangles ΔABC and ΔCDE

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  • ∠C = ∠E  ⇒ proved by ∠x = ∠z

So, from the previous  ΔABC ~ ΔCDE by AAA postulate.

So, the answer is <u>y = w and ΔABC ~ ΔCDE</u>

4 0
2 years ago
Read 2 more answers
An artist is deciding between two different triangular shapes to use for a sculpture. The first triangle has a base of 20 feet a
Kipish [7]
4 i belive altho  i could be way wrong
4 0
3 years ago
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