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mamaluj [8]
3 years ago
6

Solve the following quadratic equation.

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Given:

Consider the given equation is

(x-18)^2=1

To find:

The values of x.

Solution:

We have,

(x-18)^2=1

Taking square root on both sides, we get

x-18=\pm\sqrt{1}

x-18=\pm 1

Adding 18 on both sides, we get

x-18+18=\pm 1+18

x=\pm 1+18

Now,

x=1+18 and x=-1+18

x=19 and x=17

Therefore, the correct option is A.

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Carlos drew a plan for his garden on a coordinate plane. Rose bushes are located at A(–5, 4), B(3, 4), and C(3, –5)
BartSMP [9]

Given:

A(-5,4)

B(3,4)

C(3,-5)

So point D is:

so point D is (-5,-5)

For AB is

Distance between two point is:

\begin{gathered} (x_1,y_1)and(x_2,y_2) \\ D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \end{gathered}

so distance between A(-5,4) and B(3,4) is:

\begin{gathered} D=\sqrt[]{(3-(-5))^2+(4-4)^2} \\ =\sqrt[]{(8)^2+0^2} \\ =8 \end{gathered}

So AB is 8 unit apart.

For B(3,4) and C(3,-5).

\begin{gathered} D=\sqrt[]{(3-3)^2+(-5-4)^2} \\ =\sqrt[]{0^2+(-9)^2} \\ =9 \end{gathered}

So BC is 9 unit apart.

For fourth bush point is (-5,-5) it left of point C(3,-5) is:

\begin{gathered} D=\sqrt[]{(3-(-5))^2+(-5-(-5))^2} \\ =\sqrt[]{(8)^2+0^2} \\ =8 \end{gathered}

so fourth bush is 8 unit left of C.

For fourth bush(-5,-5) below to point A(-5,4)

\begin{gathered} D=\sqrt[]{(-5-(-5))^2+(4-(-5))^2} \\ =\sqrt[]{0^2+9^2} \\ =9 \end{gathered}

so fourth bush 9 units below of A.

8 0
1 year ago
What are the distances from the point (x,y) to the focus of the parabola and the directrix, select two answers
yulyashka [42]

Answer:

3,5

Step-by-step explanation:

axis

6 0
3 years ago
Solve this equation -9h -6 +12h + 40=22.
puteri [66]
-9h -6 +12h + 40=22\\
3h=-12\\
h=-4
5 0
3 years ago
Read 2 more answers
Solve this problem like how you solve the other problems<br>​
Neko [114]

Answer:

192 centimeters cubed

Step-by-step explanation:

3 x 8 x 4 = 96 for block B

4 x 3 x 8 = 96 for block A

add them together and get 192 cm^3

6 0
3 years ago
A rectangle prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches.
Ivenika [448]

Answer:

▶◀

Step-by-step explanation:

n/a bc you didn't explain wut to do

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3 years ago
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