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3 years ago

ABC is translated 2 units right and 1 unit down. What is the new location of point C?

Mathematics

2 answers:

Bogdan [553]3 years ago

8 0

Answer:

(4,-8)

Step-by-step explanation

hope it helps

LenKa [72]3 years ago

3 0

Answer:

it's (4,-6)

Step-by-step explanation:

the first answer given by the other user is incorrect.

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A developer has 7 1/2 acres of land to build houses on. If each house is to be built on -1/4 acre plot, how many houses can he b

mel-nik [20]

It’s either A.3 or C.30

6 0

2 years ago

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

Stella [2.4K]

A parabola is a mirror-symmetrical U-shape.

The equation of the parabola is $\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$
The focus is $\mathbf{Focus = (80, -1760)}$
The directrix is $\mathbf{y = \frac{1}{640}}$
The axis of the symmetry of parabola is: $\mathbf{x = 80}$

From the question, we have:

$\mathbf{Vertex: (h,k) = (80,10)}$

$\mathbf{Origin: (x,y) = (0,0)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

Substitute the values of origin and vertex in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{0 = a(0 - 80)^2 + 10}$

$\mathbf{0 = a(- 80)^2 + 10}$

$\mathbf{0 = 6400a + 10}$

Collect like terms

$\mathbf{6400a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{640}}$

Substitute the values of a and the vertex in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$

The focus of a parabola is:

$\mathbf{Focus = (h, \frac{k+1}{4a})}$

Substitute the values of a and the vertex in $\mathbf{Focus = (h, \frac{k+1}{4a})}$

$\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}$

$\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}$

$\mathbf{Focus = (80, -11\times 160)}$

$\mathbf{Focus = (80, -1760)}$

The equation of the directrix is:

$\mathbf{y = -a}$

So, we have:

$\mathbf{y = \frac{1}{640}}$ ----- the directrix

The axis of symmetry is:

$\mathbf{x = -\frac{b}{2a}}$

We have:

$\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}$

Expand

$\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}$

Expand

$\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}$

$\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }$

A quadratic function is represented as:

$\mathbf{y = ax^2 + bx + c}$

So, we have:

$\mathbf{a = -\frac{1}{640}}$

$\mathbf{b = \frac{1}{4}}$

Recall that:

$\mathbf{x = -\frac{b}{2a}}$

So, we have:

$\mathbf{x = -\frac{1/4}{2 \times -1/640}}$

$\mathbf{x = \frac{1/4}{1/320}}$

This gives

$\mathbf{x = \frac{320}{4}}$

$\mathbf{x = 80}$

Hence, the axis of the symmetry of parabola is: $\mathbf{x = 80}$

Read more about parabola at:

brainly.com/question/21685473

6 0

3 years ago

A human body has about 6x10^2 times as many red blood cells

Setler [38]

Answer:

Humans are complex organisms made up of trillions of cells, each with their own structure and function.

Scientists have come a long way in estimating the number of cells in the average human body. Most recent estimates put the number of cells at around 30 trillion. Written out, that’s 30,000,000,000,000!

These cells all work in harmony to carry out all the basic functions necessary for humans to survive. But it’s not just human cells inside your body. Scientists estimate that the number of bacterial cells in the human body likely exceeds the number of human cells.

7 0

3 years ago

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Find the value of x to the nearest tenth.

vladimir1956 [14]

Answer:

The answer to your question is x = 14.7

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

x / sin 46 = 7 / sin 20

-Solve for x

x = 7 sin 46 / sin 20

-Simplification

x = 7 (0.719) / 0.342

x = 5.035/0.342

-Result

x = 14.7

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3 years ago

What precent is 12 outta 40

Lubov Fominskaja [6]

Answer: 30%

Step-by-step explanation:

12/40 × 100

= 30%

5 0

3 years ago

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