All categories

3 years ago

Could anyone help me with this

Mathematics

1 answer:

kati45 [8]3 years ago

3 0

Answer:

Step-by-step explanation:

U can already eliminate C and D since the z needs to be with 2. A and B almost look the same but in the radicals the second number goes on top resulting in 5/6 which leads to A.

You might be interested in

Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

7 0

3 years ago

Read 2 more answers

Prove that the two circles shown below are similar. Circle A is shown with a center at 3, 4 and a radius of 5. Circle C is shown

MaRussiya [10]

Answer:

Is there a picture to go with it?

Step-by-step explanation:

8 0

3 years ago

The planning committee at school has 10 members. Exactly four of these members are teachers. A four-person subcommittee with at

Kipish [7]

Answer:

865

Step-by-step explanation: The set of possibilities are:

Subcommittee is of 4 people according to:

4 teachers 0 other member total possibilities 1

3 teachers 1 teachers C₄,₃ = 4 and other member 6 6*4 = 24

2 teachers 2 C₄,₂ = 4!/2! = 12 2 (om) and C₆,₂ = 6!/4! = 30

30*12 = 360

1 teacher 3 (om) 4 and C₆,₃ = 6!/3! = 120

120*4 = 480

Total ways of committee 1 + 24 + 360 + 480 = 865

4 0

3 years ago

Can someone help me with this.

Ber [7]

Answer:

Step-by-step explanation:

The secant- secant angle SPR is half the difference of the intercepted arcs, that is

55° = $\frac{1}{2}$ (RS - QT ) ← multiply both sides by 2

110° = RS - QT = RS - 50° ( add 50° to both sides )

160° = RS → C

7 0

3 years ago

Read 2 more answers

Find the value of the variable. Leave in simplest radical form.

Mademuasel [1]

If the hypotenuse is equal to 11, then we can plug it into the Pythagorean theorem. So we get a^2+x^2=121. So we take the square root of both sides, sqrt(a^2+x^2)=11. So we take a^2 and x^2 out of the square root. We get a+x=11. So now we have two equations, a+x=11 and a^2+x^2=121. I’ll leave the rest of solving equations to you.

Hint: a=11-x
You can plug that into a^2+x^2=121

8 0

3 years ago