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3 years ago

Fill in the blanks.

1 answer:

6 0

1)5
2)1
3)7
4)9

When you need to find the blank and get a explanation you should you solve for x calculator it’s easier that way

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I’m stuck on this question. any help would be greatly appreciated

Mademuasel [1]

Using the Pythagorean theorem we get:

$y^2+8^2=12^2.$

Simplifying the above result we get:

$y^2+64=144.$

Subtracting 64 from the above equation we get:

$\begin{gathered} y^2+64-64=144-64, \\ y^2=80. \end{gathered}$

Therefore:

$y=\sqrt{80}\approx8.9.$

Answer:

$y=8.9.$

4 0

1 year ago

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Luba_88 [7]

Answer:

$B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15$

$D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3$

$H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4$

$L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9$

Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

$B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5$

$D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5$

$H(4,4)\:\: I(8,9)=\frac{4-9}{4-8} =1.25$

$L(5,-7)\:\: M(4,-12)=\frac{-7--12}{5-4} =5$

$F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2$

$J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375$

Now,

the slope of the line BC matches with the slope of y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

$B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15$

$D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3$

$H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4$

$L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9$

4 0

3 years ago

Read 2 more answers

If m∠5 = 115 degrees, find m∠1 =

lana66690 [7]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Question 1. If m∠5 = 115 degrees, find m∠1 = 115°

because they form corresponding Angle pair

Question 2. If m∠7 = 30 degrees, find m∠2 = 30°

because they form Alternate Exterior angle pair

Question 3. If m∠6 = 50 degrees, find m∠4 = 50°

because they form Alternate Interior Angle pair

Question 4. If m∠4 = 72 degrees, find m∠1 = 108°

because they form linear pair, their sum = 180°

Angle 4 + Angle 1 =180°

Angle 1 = 180° - Angle 4

Angle 1 = 180° - 72°

Angle 1 = 108°

4 0

2 years ago

Question 8 (1 point)

AleksandrR [38]

Answer:

solution is x=3

Step-by-step explanation:

$logx-log3=log(x-2)$

apply log property

log a- log b= log a/b

$logx-log3=log(x-2)\\log (\frac{x}{3} )=log(x-2)$

we have log on both sides

so we remove the log and make the arguments equal

$\frac{x}{3} = x-2$

solve for x, multiply whole equation by 3

$x=3(x-2)\\x=3x-6\\x-3x=-6\\-2x=-6\\x=3$

now plug in 3 for x and check

$logx-log3=log(x-2)\\log3-log3=log(3-2)\\0=0$

solution is x=3

8 0

3 years ago

State the opposite value of the number:<br> a. 1 ______<br> b. 2______<br> c. 15______

Sergio [31]

A. -1

B. -2

C. -15

This is the anwser

5 0

3 years ago