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konstantin123 [22]
3 years ago
6

Find the equation of the line.

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Hello,

2 points of the line: (2,0) and (0,3)

\Delta\ y=3-0=3\\\Delta\ x=0-2=-2\\\dfrac{\Delta\ y}{\Delta\ x} =\dfrac{-3}{2} \\\\y-0=\dfrac{-3}{2}*(x-2)\\\\\boxed{y=-\dfrac{3x}{2}+3}\\

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If a number is odd, then it has a remainder of 1 when divided by 2.
kherson [118]

Answer:

The hypothesis of the conditional is "<em>A number is odd</em>".

Step-by-step explanation:

The statement can be represented by the following proposition:

P \implies Q (Eq. 1)

Where:

P is the hypothesis of the proposition.

Q is the conclusion of the proposition.

\implies - Binary connector, which means "If...., then...."

In this case, we present what each propostion represents:

P = A number is odd.

Q = It has a remainder of 1 when divided by 2.

In consequence, the hypothesis of the conditional is "<em>A number is odd</em>".

6 0
3 years ago
It is 76°f at the 6000-foot level of a mountain, and 49°f at the 12,000-foot level of the mountain. write a linear equation to f
valina [46]

Answer:

t(x) = 103 -0.0045x

Step-by-step explanation:

We are given the following in the question:

Let the equation:

t(x) = a + bx

be the linear equation that represent temperature at an elevation x.

Temperature at 6000-foot level = 76 f

76 = a + 6000b

Temperature at 12000-foot level = 49 f

49 = a + 12000b

Solving the two equation, we get,

76-49 = -6000b\\27=-6000b\\\\b = \dfrac{-27}{6000}\\\\b = -0.0045\\76 = a + (-0.0045)6000\\76 = a -27\\a = 76 + 27\\a  =103

Thus, we can write the linear equation as:

t(x) = 103 -0.0045x

5 0
3 years ago
What is the surface area of the pyramid?
Valentin [98]
Depends on the base length height and base width. What are they then I can help
7 0
3 years ago
Read 2 more answers
What is the slope of this skateboard ramp if it rises 1.2 meters above the ground and runs 4 meters horizontally at the base?
Nesterboy [21]
By definition, the slope is the inclination of a line in relation to the horizontal. It can be expressed in degrees, ratios and even in percent. Therefore, you can calculate it by applying the following formula:
 
 P%=(H/L)x100
 
 P% is the slope expressed in percent.
 H is the height (H=1.2 meters).
 L is the length (L=4 meters).
 
 When you substitute these values into the formula P%=(H/L)x100, you obtain the slope of the skateboard ramp:
 
 P%=(H/L)x100
 P%=(1.2 meter/4 meters)x100
 P%=0.30x100
 P%=30%
8 0
3 years ago
Find the domain of the function (13/x-11)
kotykmax [81]
The domain of 13/x - 11 is all real numbers except x cannot equal zero
8 0
3 years ago
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