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3 years ago

-3+4u=-31 solve for u

Mathematics

1 answer:

solniwko [45]3 years ago

8 0

Answer:

u = -7

Step-by-step explanation:

-3+4u=-31

Add 3 to each side

-3+3 +4u = -31+3

4u = -28

Divide each side by 4

4u/4 = -28/4

u = -7

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Help with this one because I do not know how to do perpendicular plz put explanation with steps worth 50!

Yuri [45]

Answer:

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line $2x-3y=12$ is $3x+2y=34$

Step-by-step explanation:

Given:

$2x-3y=12$

To Find:

Equation of line passing through ( 16, -7) and is perpendicular to the line

$2x-3y=12$

Solution:

$2x-3y=12$ ...........Given

$\therefore y=\dfrac{2}{3}\times x-4$

Comparing with,

$y=mx+c$

Where m =slope

We get

$Slope = m1 = \dfrac{2}{3}$

We know that for Perpendicular lines have product slopes = -1.

$m1\times m2=-1$

Substituting m1 we get m2 as

$\dfrac{2}{3}\times m2=-1\\\\m2=-\dfrac{3}{2}$

Therefore the slope of the required line passing through (16 , -7) will have the slope,

$m2=-\dfrac{3}{2}$

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the point (16 , -7) and slope m2 we will get the required equation of the line,

$(y-(-7))=-\dfrac{3}{2}\times (x-16)\\\\2y+14=-3x+48\\3x+2y=34......Equation\ of\ line$

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line $2x-3y=12$ is

$3x+2y=34$

3 0

3 years ago

Question

Butoxors [25]

Answer:

slope is (y1-y2)/x1-x2 pick two points on the line

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the value of x?

lesantik [10]

50.6
$\frac{x}{72.6 } = \frac{46.2 - 14}{46.2}$
$x = 32.2 \times 72.6 \div 46.2$
$x = 50.6$

8 0

3 years ago

Can someone help me understand this? Because I really don’t understand this at all

Otrada [13]

Answer: I believe it is A OR B

Step-by-step explanation: BECAUSE IF A⇒B AND B⇒C

THEN ¬A⇒C I THINK ITS A THO

OR ¬A⇒¬C

7 0

3 years ago

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