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3 years ago

7

T(8,15) is the midpoint of CD. The coordinates of D are (8,20). What are the coordinates of C?

2 answers:

Nadya [2.5K]3 years ago

7 0

The coordinates of C must be (8,10).

If you plug in the values given in the midpoint formula
$8= \frac{8+(8)}{2}$
and $15= \frac{20+(10)}{2}$

it matches perfectly with the provided midpoint

sweet [91]3 years ago

7 0

The mid point is 5 away from d so it should be five away from c. 8,5

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A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and

soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

$= \tt \frac{1}{10} \: of \: 1200$

$=\tt \frac{1}{10} \times 1200$

$=\tt \frac{1 \times 120}{10}$

$= \tt \frac{1200}{10}$

$\color{plum} =\tt\$ \: 120$

▪︎Thus, the first son inherited $120.

Money the second son got :

$= \tt \frac{3}{10} \: of \: 1200$

$= \tt \frac{3}{10} \times 1200$

$=\tt \frac{3 \times 1200}{10}$

$= \tt \frac{3600}{10}$

$\color{plum} =\tt \$360$

▪︎Thus, the second son inherited $360.

Money the third son got :

$=\tt \frac{6}{10} \: of \: 1200$

$=\tt \frac{6}{10} \times 1200$

$= \tt \frac{6 \times 1200}{10}$

$= \tt \frac{7200}{10}$

$\color{plum} = \tt\$720$

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

$= \tt720 - 120$

$\color{hotpink}\tt = 600$

<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

7 0

2 years ago

Find the square root.<br> V121 =

lidiya [134]

Answer:

11

Step-by-step explanation:

$\sqrt{121} = \sqrt{11 \times 11} = 11 \\$

6 0

3 years ago

Which expression is equal to...

salantis [7]

The answer is the one that has a denominator of X-5 :)

3 0

2 years ago

Read 2 more answers

Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer

Y_Kistochka [10]

Answer:

$x_2=x_1$

Step-by-step explanation:

We were given the slope formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

This line is vertical if the denominator is zero.

That is when $x_2-x-1=0$

This implies that;

$x_2=x_1$

Justification;

When $x_2=x_1$ , then, the line passes through;

$(x_1,y_1)$ and $(x_1,y_2)$

The slope now become

$m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}$

The equation of the line is

$y-y_1=\frac{y_2-y_1}{0}(x-x_1)$

This implies that;

$0(y-y_1)=(y_2-y_1)(x-x_1)$

$0=(y_2-y_1)(x-x_1)$

$\frac{0}{y_2-y_1}=(x-x_1)$

$0=(x-x_1)$

$x=x_1$ ... This is the equation of a vertical line.

3 0

2 years ago

Solve the system of equations by subsitution.<br> b = 4a +2<br> 12a - 3b = -6

Vladimir [108]

Answer:

infinite solution

Step-by-step explanation:

hello

we substitute b = 4a + 2 in the second expression

12a -3*(4a+2) = -6

<=> 12a -12a -6 = -6

<=> -6 = -6

which is always true

so there is infinite solution

hope this helps

5 0

3 years ago