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3 years ago

Good morning!

Mathematics

1 answer:

Tpy6a [65]3 years ago

4 0

Answer:

Step1. Slope is zero
Step2. Angles 5, 8, 9 and 12

Step-by-step explanation:

Parallel lines have the same slope.

Gray Dr is parallel to Brodie Ln

They both are parallel to x-axis, therefore both have a zero slope.

m∠6 = x°

Angles 5 and 8 are supplementary with angle 6, so they have a measure of (180 - x)°.

Also, since Gray Dr is parallel to Brodie Ln and Canon Rd is transversal, the angles 9 and 12 have the same measure. Because ∠6 and ∠10 are corresponding angles.

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F(66)=1.1(e)^(0.17*x) Solve for f

Mrac [35]

Answer:

82,068.55 = f(66)

Step-by-step explanation:

Here you want to "evaluate" the function "f" at x = 66.

We have f(66) = 1.1e^(11.22) = 1.1(74607.78) = 82,068.55 = f(66)

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4 years ago

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Review the graph of function f(x), which is defined for –4 < x ≤ 2.

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Step-by-step explanation:

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3 years ago

Kyle participated in a 63-mile bikeathon. The table shows Kyle’s times at the beginning and end of the bikeathon. Time (hours) D

kirza4 [7]

Answer:

Part a) The average speed is $14\frac{miles}{hour}$

Part b) The linear equation that represent the situation is $y=14x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ---> the distance biked in miles

we have the points

(0,0) and (4.5,63)

This problem represent a proportional relationship because is a line that passes through the origin

Find the constant of proportionality k

$k=y/x$

For the point (4.5,63)

$k=63/4.5=14$

The constant of proportionality or slope represent the average biking speed in miles per hour

$k=14\frac{miles}{hour}$

The equation is equal to

$y=14x$

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4 years ago

Write an equation in slope-intercept form of the line that passes through the points (-6, -10) and (1,4).

vova2212 [387]

Answer:

y = mx + 1/2

Step-by-step explanation:

(x,y)

- Plot each point on a graph

- The line should go from the bottom left (-6,-10) to the top right (1,4)

- Count how many spaces are on the y-axis from -6 to 1 for numerator

- Count how many spaces are on the x-axis from -10 to 4 for denominator

- Positive slope

- Slope = 7/14

- Simplify to 1/2

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3 years ago

Someone please help solve this!! I’ll give brainlist

dem82 [27]

Answer:

Inital height is 20

Step-by-step explanation:

h= (-5x-5)(x-4)

h= -5x^2+15x+20

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3 years ago