All categories

2 years ago

2

Mathematics

1 answer:

s2008m [1.1K]2 years ago

3 0

Answer:

Step-by-step explanation:

<u>The midpoint of a segment</u>

Given points C(xc,yc) and B(xb,yb), the coordinates of the midpoint M can be found knowing that:

$\overline{CM} = \overline{ MB}$

Applying that relation in both axes separately, we can write:

$\displaystyle x_m=\frac{xc+xb}{2}$

$\displaystyle y_m=\frac{yc+yb}{2}$

Knowing the coordinates of the midpoint and B, we can find the coordinates of the other extreme C solving both equations for the required variable:

$x_c=2x_m-x_b$

$y_c=2y_m-y_b$

Plugging in the known values: M=(-1,1) and B=(3,4):

$x_c=2*(-1)-3=-2-3=-5$

$y_c=2*1-4 = 2-4=-2$

The coordinates of C are (-5,-2)

a(-5,-2)

You might be interested in

the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$ i

Vadim26 [7]

Answer:

The percentage increase in the production cost of the printer is 3%.

Step-by-step explanation:

We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.

Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.

Cost of raw material = $100

Cost of overheads = $80

Cost of wages = $120

So, the total cost of the printer = $100 + $80 + $120

= $300

Now, the increase in the cost of raw material = $100 + 11% of $100

= $\$100 + (\frac{11}{100} \times \$100)$

= $100 + $11 = $111

The increase in the cost of overheads = $80 + 20% of $80

= $\$80 + (\frac{20}{100} \times \$80)$

= $80 + $16 = $96

The decrease in the cost of wages = $120 - 15% of $120

= $\$120 - (\frac{15}{100} \times \$120)$

= $120 - $18 = $102

So, the new cost of a printer = $111 + $96 + $102 = $309

Now, the percentage increase in the production cost of the printer is given by;

% increase = $\frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} \times 100$

= $\frac{\$309- \$300}{\$300} \times 100$

= 3%

Hence, the percentage increase in the production cost of the printer is 3%.

4 0

3 years ago

Plz explain how to do this!!!

cestrela7 [59]

Answer:

Step-by-step explanation:

You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)

So in 1a i would simplify 7k-3k= 4k

then 4k=11

now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.

4k= 11

- = -

4 4

(4k over 4 and 11 over four)

so the answer is k = 2.75 cause 11/4 = 2.75

8 0

3 years ago

How do I answer question b?

SCORPION-xisa [38]

The answer for that would be 2 raise to 5. solution:

2 ³ x 2 raise to 6 = 2 raise to 9
thus, you have now,
2 raise to 9 over 2 raise to 4

subtracting 4 from 9
the Answer is 2 raise to 5

7 0

3 years ago

What is the slope of the line whose equation is -3x+y=12

docker41 [41]

$3x is the answer as the opposite of -3 in front of x is 3$