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Aliun [14]
3 years ago
8

Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dil

ated figure, triangle A′B′C′? A. A′(4, 6), B′(6, 10), C′(7, 4) B. A′(2, 3), B′(3, 5), C′(7, 4) C. A′(4, 6), B′(6, 10), C′(14, 8) D. A′(4, 6), B′(3, 5), C′(14, 8)
Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:I think thats a...

Step-by-step explanation:

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Write T times B times 3 as an expression
Triss [41]

Answer:

3 (t * b)

Step-by-step explanation:

Txbx3 expand-

3 (t * b)

*= times btw

4 0
2 years ago
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra
Nana76 [90]

The length of BC is 4 \sqrt{5}.

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

\Rightarrow  16\times 5 = x\times x

\Rightarrow  80= x^2

\Rightarrow  16\times 5= x^2

Taking square root on both sides.

\Rightarrow  \sqrt{16\times 5} = \sqrt{x^2}

\Rightarrow  \sqrt{4^2\times 5} = \sqrt{x^2}

square and square roots get canceled, we get

\Rightarrow  4\sqrt{ 5} = x

The length of BC is 4 \sqrt{5}.

7 0
3 years ago
In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 2
serg [7]

Answer: 233 people per thousand

Step-by-step explanation:

Using extrapolation method,

if 150/k in 1950,

  200/k in 1990,

  275/k in 2020,

2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.

Therefore,  

(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)

Where x is the number of retirees per thousand for 2003

Making x the subject of relation in the above equation.

Cross multiply the equation above;

(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)

13(275 - x) = 17(x-200)

3575 - 13x = 17x - 3400

Collect the like terms

3575+3400 = 17x + 13x

30x = 6975

x = 6975/30

x = 232.5

x = 233 people per thousand to the nearest integer

6 0
3 years ago
WHOEVER IS THE FIRST PERSON THAT GETS ANSWER RIGHT WILL GET BRAINLIST
Anastaziya [24]

Answer:

Fraction: 23/100

Decimal: .23

Percent: 23%

Step-by-step explanation:

Because there are 23 squares shaded out of 100.

6 0
3 years ago
Read 2 more answers
Specify the domain for the function ƒ(x) = 2x4 + 4x3 + 2x2
Kipish [7]

Answer:

In interval notation it is  ( -∞, ∞).

Step-by-step explanation:

All values of x can be input to this function.

7 0
3 years ago
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