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IgorLugansk [536]
3 years ago
8

Write in slope intercept for slope being -5/7 and passes through (-4,-5)

Mathematics
1 answer:
frutty [35]3 years ago
4 0

Answer:

y = -5/7x - 55/7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope <em>m</em> = -5/7

Random point (-4, -5)

y = -5/7x + b

Step 2: Find y-intercept <em>b</em>

-5 = -5/7(-4) + b

-5 = 20/7 + b

b = -55/7

Step 3: Write linear equation

y = -5/7x - 55/7

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Murrr4er [49]

What is the vertex

Its vertex is at (36, -10)

Let us assume that the left edge of the cable is at the origin.

Since the cable is at its lowest height 10 feet halfway between the two supports, the y-coordinate of its lowest point is -10 ft and the x coordinate is 72 ft/2 = 36 ft.

So, its vertex is at (36, -10)

Axis of symmetry

The y-axis.

Since the cable is symmetric about its lowest point, the axis of symmetry is the y-axis.

Domain

The domain is (0, 72).

Since the minimum value of its x-coordinate is at the origin which is x = 0 and the maximum value is at the other support which is at x = 72 ft,

the domain is (0, 72).

Range

The range is (0, -10)

Since the minimum value of the y-coordinate is -10ft and the maximum value is at the origin y = 0,

the range is (0, -10)

x and y-intercepts

The x-intercept is (0, 72) and the y-intercept is (0, 0)

Since the cable is attached at the origin and at 72 feet away  from the origin at the other support, the x-intercept is 0 and 72 ft and the y-intercepts are 0 and 0.

So, the x-intercept is (0, 72) and the y-intercept is (0, 0)

Learn more about quadratic functions here:

brainly.com/question/10606041

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2 years ago
Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale
Sati [7]

Answer:

Cost of one pencil: \$0.07

Cost of one eraser: \$0.03

Step-by-step explanation:

Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.

Based on the information given in the exercise, you can set up the following system of equations:

\left \{ {{4p+3e=0.37} \atop {3p+4e=0.33 }} \right.

You can use the Elimination Method to solve the system of equations.

Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":

{\left \{ {{-12p-9e=-1.11} \atop {12p+16e=1.32}} \right.\\..........................\\7e=0.21\\\\e=0.03

Substitute the value of "e" into any original equation  and solve for "p":

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3 years ago
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Svet_ta [14]

Answer:

HK

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

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3 years ago
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Damm [24]

Answer:

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Write the above equation in capital in your case, all you need to do is plug in your fractions...

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Answer:

Mark Me Brainliest !

Answer:

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Explanation:

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You Noticed These Jeans You Liked.

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When Prices Drop Its Either 1 of 2 Reasons

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