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3 years ago

A system of equations is created by using the line represented by2x+4y=0And the line represented by the data in the table below

Mathematics

1 answer:

vekshin13 years ago

5 0

Answer:

x = 2

Step-by-step explanation:

From the data, we obtain the slope :

-1, 8 ; 3, - 4

Slope = Rise / run

Rise = y2 - y1 = (-4 - 8) = - 12

Run = x2 - x1 = (3 - (-1)) = 4

Slope, m = - 12 / 4 = - 3

Recall:

Equation of line :

y - y1 = m(x - x1)

y - 8 = - 3(x + 1)

y - 8 = - 3x - 3

y = - 3x - 3 + 8

y = - 3x + 5

Substituting y = - 3x + 5 into the equation 2x+4y= 0

2x + 4(-3x + 5) = 0

2x - 12x + 20 = 0

-10x = - 20

x = 2

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Please identify the terms, like terms, coefficients, and constants in each expression! Thank you!

Bogdan [553]

16. there are 4 terms, +4m, +3, +m, +1
+4m and +m are like terms, +3 and +1 are like terms. (Like terms can be combined, +4m+m=5m). the coefficient (the number to the right of a letter) for the term +4m is +4, the coefficient for the term +m is +1. +1 and +3 are the two constants. (constants are numbers without a letter)

I hope you can do the rest by yourself now. Note: in #18, 7j, 11jk, and k are not like terms. There are no like terms in number 18. Neither are there any like terms in #20

7 0

3 years ago

The picture shows a triangular island: Which expression shows the value of c?

anyanavicka [17]

Answer:

c = b / cos 45.

Step-by-step explanation:

cos 45 = b/c

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c = b / cos 45.

5 0

3 years ago

Which of the following is the solution to the inequality below ? -6/5(4-x)<_-4(X+1/2)

LuckyWell [14K]

Answer:

The answer is the option D

$x\leq 7/13$

Step-by-step explanation:

we have

$-\frac{6}{5}(4-x)\leq -4(x+\frac{1}{2})$

Multiply by $-5$ both sides

$6(4-x)\geq 20(x+0.5)\\24-6x\geq20x+10\\24-10\geq 20x+6x\\14\geq 26x$

Rewrite

$26x\leq 14\\x\leq 14/26\\ x\leq 7/13$

7 0

2 years ago

Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m

suter [353]

Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week 1 2 3 4 5

Water Level (inches) − 1 1 4 1 3 8 2 1 2 -1 5 8 -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

Proof -

The formula for change in water level with respect to week be-

Rate of Change in Water Level = Difference in water level / Difference in weeks

Now,

For week 1 and week 2

Rate of change in water level = $\frac{138 - 114}{2 - 1}$ = $\frac{24}{1}$ = 24 inches

Now,

For week 1 and week 3

Rate of change in water level = $\frac{212 - 114}{3 - 1}$ = $\frac{98}{2}$ = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = $\frac{-158 - 114}{4 - 1}$ = $-\frac{272}{3}$ = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = $\frac{-134 - 114}{5 - 1}$ = $-\frac{248}{4}$ = -62 inches

Now,

For week 2 and week 3

Rate of change in water level = $\frac{212 - 138}{3 - 2}$ = $\frac{74}{1}$ = 74 inches

Now,

For week 2 and week 4

Rate of change in water level = $\frac{-158 - 138}{4 - 2}$ = $-\frac{296}{2}$ = -148 inches

Now,

For week 2 and week 5

Rate of change in water level = $\frac{-134 - 138}{5 - 2}$ = $-\frac{272}{3}$ = -90.67 inches

Now,

For week 3 and week 4

Rate of change in water level = $\frac{-158 - 212}{4 - 3}$ = $-\frac{370}{1}$ = -370 inches

Now,

For week 3 and week 5

Rate of change in water level = $\frac{-134 - 212}{5 - 3}$ = $-\frac{346}{2}$ = 173 inches

Now,

For week 4 and week 5

Rate of change in water level = $\frac{-134 + 158}{5 - 4}$ = $\frac{24}{1}$ = 24 inches

∴ we get

The water level change the most in week 3 and week 4

The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

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2 years ago

A math club has 40 members. The number of girls is 5 less than 2 times the number of boys. How many members are boys? How many m

scZoUnD [109]

15 girls and 25 boys

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3 years ago