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3 years ago

What is the value of a in the equation 0.75 (a - 2) = 5.25

Mathematics

2 answers:

irga5000 [103]3 years ago

6 0

X=9 mark as brainlest if this helps ;)

Rzqust [24]3 years ago

6 0

Answer:

a must be 9

Step-by-step explanation:

Divide both sides of the given equation by 0.75, to isolate (a - 2):

a - 2 = 5.25/0.75 = 7

Then a - 2 = 7, and so a must be 9.

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The graph below shows the function f(x)=x-3/x2-2x-3. Which statement is true?

BARSIC [14]

1. Domain.

We have $x^2-2x-3$ in the denominator, so:

$x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\
(x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}$

So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.

2. Asymptotes:

$f(x)=\dfrac{x-3}{x^2-2x-3}=\dfrac{x-3}{(x-3)(x+1)}=\boxed{\dfrac{1}{x+1}}$

We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)

6 0

3 years ago

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8c + c = what please help me i am doing test and need answer right now. like 4rl

lianna [129]

Answer: 8c

Step-by-step explanation:

We do not know the value of c or the other c.

So, the answer to the question is 8c. Hope it helped.

8 0

2 years ago

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Pizzeria Napoli sells a round pizza with diameter 16 inches and a square pizza with side length 15 inches. Which of the two shap

zavuch27 [327]

Answer: Square, 24 square inches

Step-by-step explanation:

Given

Diameter of round pizza $d=16\ in.$

Side of square pizza $a=15\ in.$

Area of circle $\pi r^2$

The area of a square is $a^2$

$\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2$

The area of square pizza is

$A_2=15^2=225\ in.^2$

Clearly, the area of square pizza is more and the difference in their area is

$\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2$

6 0

2 years ago

Ashley brought 7/8 gallon of lemonade to the party.

Misha Larkins [42]

<span>7/8 - 2/3 = 5/24 is the correct answer of the question </span>

3 0

3 years ago

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Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f

9966 [12]

Answer:

72 feet from the shorter pole

Step-by-step explanation:

The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.

The shorter pole height as a fraction of the total pole height is ...

18/(18+24) = 3/7

so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:

d/168 = 3/7

d = 168·(3/7) = 72

The wire should be anchored 72 feet from the 18 ft pole.

_____

<em>Comment on the problem</em>

This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.

Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:

L = √(18²+x²) + √(24² +(168-x)²)

and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.

7 0

3 years ago