1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ann [662]
3 years ago
10

7: The point B (-8,5) is dilated from the origin with a scale factor of 12 . ​What are the coordinates of B'? A (−6,3) B (−4,2.5

) C (−16,10) D (−10,7)
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

The correct option is option B.

The coordinate of B' is (-4,2.5).

Step-by-step explanation:

Formula of dilation:

Image = (pre-image)×(scale factor)

Scale factor:

The amount by which the shrinks or grows is called " scale factor".

  • If the scale factor less than 1 then the shape shrinks.
  • If the sale factor equal to 1 then the shape remains same.
  • If the scale factor greater than 1 then the shape enlarged.

Given point is B(-8,5)

Scale factor is \frac12.

The co-ordinate of image B is (-8\times \frac12,5\times \frac12)

                                                 =(-4,2.5)

The coordinate of B' is (-4,2.5).

You might be interested in
The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√
uysha [10]

a^{2} +b^{2} =c^{2}

As we have to solve for b, it means we have to isolate b

So first of all subtract a^{2} from both sides

So we get

b^{2} =c^{2} -a^{2}

Now we need b , but its b^2 , so we can take square root on both sides.


taking square roots on both sides

b= +- \sqrt{c^2 -a^2}


Hence option B is correct

4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the functions given below. SEE F
Wewaii [24]

Answer:

1. P(x) ÷ Q(x)---> \frac{-3x + 2}{3(3x - 1)}

2. P(x) + Q(x)---> \frac{2(6x - 1)}{(3x - 1)(-3x + 2)}

3.  P(x) - Q(x)---> \frac{-2(12x - 5)}{(3x - 1)(-3x + 2)}

4. P(x)*Q(x) --> \frac{12}{(3x - 1)(-3x + 2)}

Step-by-step explanation:

Given that:

1. P(x) = \frac{2}{3x - 1}

Q(x) = \frac{6}{-3x + 2}

Thus,

P(x) ÷ Q(x) = \frac{2}{3x - 1} ÷ \frac{6}{-3x + 2}

Flip the 2nd function, Q(x), upside down to change the process to multiplication.

\frac{2}{3x - 1}*\frac{-3x + 2}{6}

\frac{2(-3x + 2)}{6(3x - 1)}

= \frac{-3x + 2}{3(3x - 1)}

2. P(x) + Q(x) = \frac{2}{3x - 1} + \frac{6}{-3x + 2}

Make both expressions as a single fraction by finding, the common denominator, divide the common denominator by each denominator, and then multiply by the numerator. You'd have the following below:

\frac{2(-3x + 2) + 6(3x - 1)}{(3x - 1)(-3x + 2)}

\frac{-6x + 4 + 18x - 6}{(3x - 1)(-3x + 2)}

\frac{-6x + 18x + 4 - 6}{(3x - 1)(-3x + 2)}

\frac{12x - 2}{(3x - 1)(-3x + 2)}

= \frac{2(6x - 1}{(3x - 1)(-3x + 2)}

3. P(x) - Q(x) = \frac{2}{3x - 1} - \frac{6}{-3x + 2}

\frac{2(-3x + 2) - 6(3x - 1)}{(3x - 1)(-3x + 2)}

\frac{-6x + 4 - 18x + 6}{(3x - 1)(-3x + 2)}

\frac{-6x - 18x + 4 + 6}{(3x - 1)(-3x + 2)}

\frac{-24x + 10}{(3x - 1)(-3x + 2)}

= \frac{-2(12x - 5}{(3x - 1)(-3x + 2)}

4. P(x)*Q(x) = \frac{2}{3x - 1}* \frac{6}{-3x + 2}

P(x)*Q(x) = \frac{2*6}{(3x - 1)(-3x + 2)}

P(x)*Q(x) = \frac{12}{(3x - 1)(-3x + 2)}

4 0
3 years ago
Which of the following statements about the volume of a sphere and the volume of a cone are true? Select two answers.
Tanzania [10]
B would be the answer to your question
4 0
3 years ago
In a different plan for area​ codes, the first digit could be any number from 2 through 5​, the second digit was either 2, 3, 4,
GrogVix [38]

Answer:

Step-by-step explanation:

First digit 2,3,4,5 = 4 different digits.

Second digit 2,3,4,5 = 4 different digits.

Third digit = 1,2,3,6,7,9 = 6 different digits.

Total number of possibilities = 4*4*6 = 96

3 0
3 years ago
I’ll award you brainliest if you answer This question
guajiro [1.7K]

Answer:

$2353 at 12.5% and $7647 at 8.25%

Step-by-step explanation:

I'll say a is the amount he invested in one market, and b is the amount in the other.

a + b = 10000, or b = 10000 - a

multiplying the investments with the percentages and adding them together will give the total earned interest.

(a × 0.125) + (b × 0.0825) = 925

0.125a + 0.0825b = 925

Use substitution to solve for a.

0.125a + 0.0825(10000 - a) = 925

0.125 a + 825 - 0.0825a = 925

0.0425a = 100

a = 2352.94

Use substitution to find b

b = 10000 - 2352.94

b = 7647.06

The questions are to the nearest dollar so round a and b.

$2353 and $7647

6 0
3 years ago
Other questions:
  • Jerimy factored 144x^2-25as follows:
    12·1 answer
  • How can you use remainders in divison problems
    9·2 answers
  • C = 1 /2Rt solve for R
    9·1 answer
  • Find the measure of the following angles.<br><br> m &lt; LPM: <br><br> m <br> m <br> HELP ASAP‼️
    10·2 answers
  • Which of the following needs to be true in order to show that AXYZ - ADEF by
    10·1 answer
  • Please help with this
    6·1 answer
  • The symbol^ =&gt; "means to the power of". The value of 3^2 + 2^3<br> 10 points
    9·1 answer
  • A. Name two different ways to name the plane shown in the figure.
    13·1 answer
  • LOOK HERE!!! Help please! Lots of points! Will mark Brainliest!
    6·1 answer
  • A snake is born measuring 5 inches long, and it grows 6 inches each month. Write an equation that shows the relationship between
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!