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3 years ago

Find the slope of a line parallel to the line through the given points p(-2,4) q(6,-2)

Mathematics

2 answers:

olchik [2.2K]3 years ago

8 0

Answer:

(-2-4)/(6+2)= -6/8= -3/4

OLga [1]3 years ago

8 0

The answer is -3/4

what i did was: took the -2-4/6-(-2) solved and got -6/8 i symplified and the answer is -3/4

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Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

8_murik_8 [283]

Answer:

Step-by-step explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

$\frac{f(8) - f(2)}{8 - 2}$

$f(8) = 2(8) - 8 = 16 - 8 = 8$

$f(2) = 2(2) - 8 = 4 - 8 = -4$

$\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2$

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3 years ago

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cu

Flura [38]

The correct answer is option B which is mixture B will have the highest ratio of blue paint.

<h3>What is a ratio?</h3>

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

<h3 />

The given ratios are:-

Mixture A = $\dfrac{5}{12} = 0.41$

Mixture B = $\dfrac{6}{6}= 1$

Mixture C = $\dfrac{4}{12}= 0.33$

Mixture B = $\dfrac{5}{6}=0.83$

Here the ratio of mixture B is the highest among all the options available.

Therefore the correct answer is option B which is mixture B will have the highest ratio of blue paint.

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2 years ago

A rectangular box is to have a square base and a volume of 70 ft3. The material for the base costs 38¢/ft2, the material for the

lakkis [162]

$x-length\ of\ one\ side\ of\ base\\y-high\ of\ box\\x^2-area\ of\ base\\x^2y-volume\\\\x^2y=70\\y=\frac{70}{x^2}\ \ \ \ \ \ \ \ and\ x\neq0\\\\38x^2+4\cdot10xy+27x^2\\65x^2+40xy\ in\ cents\\\\0.65x^2+0.4xy\ in\ dollars$

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3 years ago

I need help with number 7 and 8

devlian [24]

7.

The point-slope form of the equation of a line is

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is a point on the line.

We are given two points, so we can find the slope.

slope = m = (y2 - y1)/(x2 - x1)

The slope of this line is

m = (-3 - 7)/(5 - (-15)) = -10/20 = -1/2

Since every choice has a 7 and a 15, we now use point (-15, 7) and slope -1/2.

y - y1 = m(x - x1)

y - 7 = -1/2(x - (-15))

y - 7 = -1/2(x + 15)

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3 years ago

What can we use to measure liquid and solid

Mrac [35]

Answer: measuring cups??

Step-by-step explanation:

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2 years ago