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3 years ago

12

Determine the intercepts of the line

2 answers:

laiz [17]3 years ago

4 0

-8 is x Intercept and -6 is y intercept

juin [17]3 years ago

3 0

Answer:

X-Intercept: (-8,0)

Y-Intercept (0, -6)

Step-by-step explanation:

The x intercept is where the line intercepts with the line where y is 0, which is the dark horizontal line on the graph. The y intercept is founf the same way instead on the dark vertical line where x is 0.

You might be interested in

What is 13 10/15 in the lowest terms?

olga55 [171]

The answer is below:

$13\frac{2}{3}$

5 0

3 years ago

Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12

insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

$-16t^2+ 160t + 120=0$

Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

$x=\frac{-160\pm\sqrt{33280}}{-32}$

$x=\frac{-160\pm 182.42}{-32}$

$x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}$

$x=−0.70,10.70$

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0

3 years ago

True or False: A decimeter, a centimeter and a millimeter are all smaller than a meter.

aev [14]

<h2>Answer:</h2><h2>True. A decimeter, a centimeter and a millimeter are all smaller than a meter.</h2>

Step-by-step explanation:

Convert all the units to metres for compariosn.

By metric conversion,

1 decimetre = 0.1 metre

1 centimetre = 0.01 metre

1 millimetre = 0.001 metre

Based on the above conversions, a decimeter, a centimeter and a millimeter are all smaller than a meter. Therefore the given statement is true.

3 0

3 years ago

A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where

marta [7]

Answer:

$Height =3$

Step-by-step explanation:

Given

$Length = x + 2$

$Width = x - 2$

$Height = x$

$Volume = 15$

Required

Find the height

The volume is calculated as thus:

$Volume = Length * Width * Height$

This gives

$15 = (x + 2) * (x - 2) * x$

Apply difference of two squares

$15 =(x^2 - 4 ) * x$

$15 = x^3 - 4x$

Subtract 15 from both sides

$x^3 - 4x - 15 = 0$

Using a calculator to factorize, we have:

$(x-3)(x^2+3x+5) = 0$

Split

$x - 3 = 0$ or $x^2 + 3x + 5 = 0$

$x = 3$ or $x^2 + 3x + 5 = 0$

x has complex roots for $x^2 + 3x + 5 = 0$

Hence:

$x = 3$

Recall that:

$Height = x$

$Height =3$

3 0

3 years ago

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

KIM [24]

Answer:

The Y-intercept or number after the + or - sign is what you start with then you use rise/run rise=the y value and run = x value to use the constant

Step-by-step explanation:

5 0

2 years ago