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3 years ago

(4, -3), (x, 1); slope -4

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

$m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} }$

m = slope

x, y = coordinates

$- 4 = \frac{1 - ( - 3)}{x - 4} \\ - 4(x - 4) = 1 + 3 \\ - 4x + 16 = 4 \\ - 4 x = 4 - 16 \\ - 4x = - 12 \\ x= \frac{ - 12}{ - 4} \\ x = 3$

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AveGali [126]

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3 years ago

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Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r

kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours) Dinghy Rowboat Labor Available

Metal Work 2 3 120

Painting 2 2 110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = $2x+3y$

So, total hours for Painting = $2x+2y$

So, equation becomes:

$2x+3y\leq 120$

$2x+2y\leq 110$

$x\geq 0$

$y\geq 0$

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

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3 years ago

In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nea

tino4ka555 [31]

To solve the problem we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer:
<span>A.) 12,000</span>

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3 years ago

If Sin x = -¼, where π < x < 3π∕2 , find the value of Cos 2x

Sliva [168]

Answer: 7/8

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