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Umnica [9.8K]
3 years ago
14

If ΔABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B'?

Mathematics
1 answer:
ryzh [129]3 years ago
5 0
They are (0,6) because if the center of dilation is point A which means it does not change, while both other points increase their distance from point A by a factor of two (double)
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Based on the table, what is Nick's rate?
Nookie1986 [14]
7 yrds/sec because in the course of two seconds, he runs 14 yrds divide that by 2 to get 7 yrds/sec. you can allo chech with the next time which is 3 seconds more and he goes 21 yards more.
5 0
3 years ago
How many 3/4-cup servings are in 1/2 of a cup of milk? Write your answer in simplest form. Write your answer in a fraction.
GalinKa [24]

Answer:

3/8

Step-by-step explanation:

The question requires that we find the amount of 3/4 cup servings in 1/2 cup of milk

= 3/4 × 1/2

= 3/8

Hence the amount of cup servings is 3/8

6 0
2 years ago
The sum of two numbers is 33. Their difference is 23. Find the numbers.
Ipatiy [6.2K]

Answer: The numbers are 28 and 5

Step-by-step explanation: The question gives a set of clues. In the first instance, the addition of two numbers equals 33. Let us assume the two numbers are A and B. What that means is that

A + B = 33.

We shall call this equation 1.

The other clue is given as “their difference is 23.” This can be expressed as

A - B = 23.

We shall call this equation 2.

Now we have a pair of simultaneous equations as follows

A + B = 33 —————-(1)

A - B = 23 —————-(2)

We shall use the substitution method

From equation (1), if we make A the subject of the equation we shall move B to the other side and we’ll have

A = 33 - B

Substitute for the value of A in equation (2)

A - B = 23 now becomes

(33 - B) - B = 23

33 - B - B = 23

33 - 2B = 23

By collecting like terms we now have 33 - 23 = 2B

(Remember that when a positive value crosses to the other side of an equation, it becomes negative, and vice versa)

33 - 23 = 2B

10 = 2B

Divide both sides of the equation by 2

5 = B

If we calculate B as 5

We can substitute for this value into equation 1, which is

A + B = 33

A + 5 = 33

Subtract 5 from both sides of the equation

A + 5 - 5 = 33 - 5

A = 28.

Therefore the numbers are 28 and 5.

8 0
3 years ago
Marco gana 1200 mensualmente . La mitad de su dinero es entregado a su mama de lo que le queda gasta en la tercera parte en ropa
statuscvo [17]

Answer:

A Marco le sobra 400.

Step-by-step explanation:

Marco gana 1200 mensualmente. La mitad de su dinero es entregado a su mamá.

La mitad de un número se calcula dividiendo el número por 2. Por lo que la mitad de lo ganado por Marco se calcula:

1200 ÷2= 600

Por lo que Marco entrega a su mamá 600 mensualmente, y quedan 600, obtenido de la resta entre lo ganado mensualmente y lo entregado a su madre.

De lo que le queda gasta en la tercera parte en ropa. La tercera parte de un número se calcula dividiendo el número por 3. Entonces:

600 ÷3= 200

Entonces Marco gasta 200 en ropa. Por lo que resta es 400, obtenido por la diferencia entre los 600 que poseía luego de entregar dinero a su madre y lo gastado en ropa.

Entonces, <u><em>a Marco le sobra 400.</em></u>

3 0
2 years ago
What is a simpler form of the expression?<br><br> (2n^2 + 5n +3)(4n - 5)
coldgirl [10]

Answer:

8n³ + 10n² - 13n - 15

Step-by-step explanation:

Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is

4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis

= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms

= 8n³ + 10n² - 13n - 15

5 0
3 years ago
Read 2 more answers
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