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3 years ago

Write the equation of the line with y-intercept 3 and a slope of -2/3, and graph it

Mathematics

1 answer:

REY [17]3 years ago

7 0

Answer:

Equation is $y=\frac{-2}{3} x+3$ .

Graph is attached.

Step-by-step explanation:

General format of a linear equation is given as,

y=mx+c

where,

y is the dependent variable.

m is the slope/ gradient

x is the independent variable

c is the y-intercept

By substituting values to the above general equation format we get;

$y=\frac{-2}{3} x+3$ .

Graph is attached.

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A 25-ft ladder and then you can get inside of a house the bottom of the ladder is 8 ft away from the bottom of the house what is

seropon [69]

Answer:

$71.33$ degree

Step-by-step explanation:

The angle between the bottom of the ladder and the ground is given by

$cos\alpha = \frac{B}{L}$

Where

B = distance between wall of house and the foot of ladder

L = Length of the ladder

Substituting the given values we get -

$Cos \alpha = \frac{8}{25}\\Cos \alpha = 0.32\\\alpha = Cos^{-1}(0.32)\\\alpha = 71.33$

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3 years ago

A 13-A ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of the house. How high is the to

Anit [1.1K]

Answer:

10.2 ft

Step-by-step explanation:

$a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2} \\$

64 + $b^{2}$ = 169

$b^{2} = 105\\$

b= $\sqrt{105}$

b= 10.2469

5 0

3 years ago

An Air Conditioner uses 850 Watts of electricity and local emissions from electricity produce 1.37 pounds of CO2 per kWh. If you

Zina [86]

Answer: 6,987,000 pounds fo CO₂ per kWh.

Step-by-step explanation: Quilowatt-hour (kWh) is a unit of energy that measures the amount of energy expended in 1 hour.

The AC uses 850 Watts, which in kW is 850,000 kW

If you leave the AC on for 6 hours, it will consume

850,000(6) = 5,100,000 kWh

Eletricity produces 1.37 pounds of CO₂ per kWh, then in 5,100,000 kWh:

1.37 $\frac{pounds}{kWh}$ .(5,100,000kWh) = 6,987,000 pounds

If you open a window for 6 hours, you would keep 6,987,000 pounds of CO₂ for entering the atmosphere.

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3 years ago

Answer answer answer answer

Mice21 [21]

Answer:

$12 \leqslant x < 26$

4 0

3 years ago

These two matrices are unable to be added due to dimensional mismatch? True, false, both, unable to answer with the info given

Hoochie [10]

Answer:

false

Step-by-step explanation:

$\left[\begin{array}{c}-4\end{array}\right] +\left[\begin{array}{c}7\end{array}\right] =\left[\begin{array}{c}3\end{array}\right]$

Both of the matrices are 1 x 1 ("one by one"), so they can be added to produce a 1 x 1 matrix.

To add (or subtract) two matrices, they must be the same size.

(m x n) + (m x n) = (m x n)

m x n means a matrix has m rows and n columns. Dimensions are always named in that order: rows, then columns.

6 0

3 years ago