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g100num [7]
3 years ago
13

Find the slope of the line that passes through the pair of points (–8.5, 12.25) and (0.2, 8.3).

Mathematics
1 answer:
sveta [45]3 years ago
4 0
Slope = difference in y / difference in x
slope = 12.25 -8.3 / -8.5 -.2
slope = 3.95 / -8.7
slope = <span> <span> <span> -0.4540229885 </span> </span> </span>


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Hi can you help me with this problem i dont understand it​
Romashka-Z-Leto [24]

Answer:

Answer is d - x = \frac{y + z}{4}

Step-by-step explanation:

Step 1: Add 'z' to both sides

4x -z (+z) = y + z

4x = y + z

Step 2: To solve for x, divide both sides by 4

\frac{4x}{4} = \frac{y + z}{4}

x = \frac{y + z}{4}

5 0
3 years ago
The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches. The Minimum allowable l
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Answer:

Minimum - 8.1 inches

Maximum - 8.35 inches

Step-by-step explanation:

The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches.

This means that the minimum length must not be 0.125 inches less than 8.225 inches and the maximum length must not be 0.125 inches greater than 8.225 inches.

The minimum length is therefore:

8.225 - 0.125 = 8.1 inches

The maximum length is therefore:

8.225 + 0.125 = 8.35 inches

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3 years ago
8. On a trip, a student drove 40 miles per hour for 2 hours and then drove 30 miles per hour for 3
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See question in screenshot below.
alexgriva [62]

The equation of the transformation of the exponential function <em>y</em> = 2ˣ in the form <em>y</em> = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is <em>y</em> = (-2)·2ˣ + 3

<h3>What is an exponential equation?</h3>

An exponential equation is an equation that has exponents that consists of variables.

The given equation is <em>y</em> = 2ˣ

The equation for the transformation is; <em>y</em> = A·2ˣ + k

The points on the graphs are;

(0, 1), (1, -1) and (2, -5)

Plugging the <em>x </em>and <em>y</em>-values to find the value <em>A</em> and <em>k</em> gives  the following simultaneous equations;

When <em>x</em> = 0, <em>y</em> = 1, therefore;

1 = A·2⁰ + k = A + k

1 = A + k...(1)

When <em>x</em> = 1, <em>y</em> = -1, which gives;

-1 = A·2¹ + k

-1 = 2·A + k...(2)

Subtracting equation (1) from equation (2) gives;

-1 - 1 = 2·A - A + k - k

-2 = A

1 = A + k, therefore;

1 = -2 + k

k = 2 + 1 = 3

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Which gives;

y = -2·2ˣ + 3 = 3 - 2·2ˣ

Learn more about the solutions to simultaneous equations here:

brainly.com/question/26310043

#SPJ1

3 0
1 year ago
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