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love history [14]
3 years ago
5

One endpoint of a line segment is at (2, 4). The line is bisected by placing the midpoint of the line segment at (7, 8). What ar

e the coordinates of the other endpoint?
A.(12, 12)
B.(9, 12)
C.(−4, −1)
D.(−3, 0)
Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​
Anestetic [448]
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

which when simplified becomes 3.

6 0
3 years ago
9.<br> The cost of 20 litres of petrol is £18<br> Work out the cost of 1 litre of petrol.
yulyashka [42]

Answer:

20 x 1 / 18= 1.11

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The polynomial p(x)=(3-2x)(x^2-5) is graphed in a coordinate plane. Which statement about the graph is correct?
satela [25.4K]

Answer:

0 = (3-2x) x (x x 2 -5)

(3-2x) x ( x x 2 - 5) = 0

(3-2x) x (2x - 5) = 0

3 - 2x = 0

2x - 5 = 0

x = 3/2

x = 5/2

x1 = 3/2 or x2 = 5/2

7 0
3 years ago
Find the distance between the points (-1,-2) and (5,2). Simplified radical form.
frozen [14]

Answer:

2\sqrt{13}

Step-by-step explanation:

Using the distance formula,

\sqrt{( x_{2}-x_{1} )^2+(y_{2} -y_{1})^2 }

We just need to plug in the numbers.

So \sqrt{(-1-5)^2+(-2-2)^2}

Then we simplify it to

\sqrt{(-6)^2+(-4)^2} , to \sqrt{36+16}

Finally, we get

\sqrt{52}, which is 2\sqrt{13} when simplified.

3 0
2 years ago
How to solve? 3x^3 - 45x = 0
Tems11 [23]
STEP
1
:
Equation at the end of step 1

((3 • (x3)) - (32•5x2)) + 150 = 0
STEP
2
:

Equation at the end of step
2
:

(3x3 - (32•5x2)) + 150 = 0
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

3x3 - 45x2 + 150 = 3 • (x3 - 15x2 + 50)

Polynomial Roots Calculator :

4.2 Find roots (zeroes) of : F(x) = x3 - 15x2 + 50
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 1 and the Trailing Constant is 50.

The factor(s) are:
3 0
3 years ago
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