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3 years ago

50 points! Please help me with both. Random answers with be reported

Mathematics

1 answer:

Liula [17]3 years ago

8 0

Answer:

Q1. 86°
Q2. B(2,0), D(3,1)

Step-by-step explanation:

The angle of rotation is twice the angle of intersection:

43°*2 = 86°

Dilation by a scale factor of 2 resulted in:

(x, y) → (2x, 2y) for each point C' and D'

The endpoints of the original segment are:

C = (4/2, 0/2) = (2, 0)
D = (6/2, 2/2) = (3, 1)

Correct choice is B

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Find the equation of the sphere passing through P(negative 4 comma 7 comma 6 )and Q(8 comma negative 3 comma 5 )with its center

Juli2301 [7.4K]

Answer: The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

Step-by-step explanation:

The centre of the sphere is the midpoint of the diameter, which is

1/2

[(-4,7,6) + (8,-3,5)] =(2,2,5/2)

The length of the diameter is

=sqrt |(8,-3,5) - (-4,7,6)|^2

=sqrt (12^2 + (-10)^2 + (-1)^2)

=sqrt (144+100+1)

=sqrt(245)

so the radius of

the sphere is:

1/2(sqrt(245)) = sqrt(245)/2.

The equation of the sphere is:

(x-2)^2 + (y-2)^2 + (z-5/2)^2 = sqrt(245)/2

4 0

3 years ago

BRAINLIEST IF CORRECT

Softa [21]

Answer:

what's the question?????????

7 0

3 years ago

Read 2 more answers

Molly was on a long 136 mile road trip. The first part of the trip there was lots of traffic, she only averaged 16 mph. The seco

Mazyrski [523]

Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

$d=136$

The first part of the trip there was lots of traffic, she only averaged 16 mph;

$v_1=16$

The second part of the trip there was no traffic so she could drive 44 mph;

$v_2=44$

She traveled for a total of 5 hours;

$t=5$

let x represent the time in traffic when she traveled at 16 mph

$t_1=x$

the time the traffic is clear would be;

$t_2=t-t_1=5-x$

Recall that distance equals speed multiply by time;

$d=v_1t_1_{}_{}^{}+v_2t_2$

substituting the values;

$136=16x+44(5-x)$

solving for x;

$\begin{gathered} 136=16x+220-44x \\ 44x-16x=220-136 \\ 28x=84 \\ x=\frac{84}{28} \\ x=3 \end{gathered}$

So;

$\begin{gathered} t_1=3\text{ hours} \\ t_2=5-x=5-3=2 \\ t_2=2\text{ hours} \end{gathered}$

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

7 0

1 year ago

Layla reads 2/5 of her book on Saturday and the other 90 pages to finish the book on Sunday how many pages does Layla's book hav

PolarNik [594]

3/5=90
1/5=30
30x5=150
laylas book has 150 pages

5 0

3 years ago

Help me with this math homework

sp2606 [1]

Answer:

1.) 2 over 5

2.)7.5 over 50

3.)1 1/2

5.)0.95%

6.)2.5%

7.)0.94

i cant read 9 and ten

11.)61 over 100

12.)7 over 25

13.)207 over 1000

15.)14 over 25

16.)13 over 50

17.)3 over 500

19.)5 over 8

20.)42 over 125

21.)3 over 250

I tried my best!! hope this helps you out

5 0

3 years ago