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polet [3.4K]
2 years ago
13

A straight line has slope 1 and goes through the points (0, -1) and (a,3). Find the value of a.

Mathematics
1 answer:
Gala2k [10]2 years ago
8 0

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{a}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{a}-\underset{x_1}{0}}}~~=~~\stackrel{\stackrel{slope}{\downarrow }}{1}\implies \cfrac{3+1}{a}=1\implies 4=a

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Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B123%7D%7B65%7D" id="TexFormula1" title="\frac{123}{65}" alt="\frac{123}{65}"
Ksivusya [100]

Answer: 1.89230769231

Step-by-step explanation:

8 0
3 years ago
Please answer it now in two minutes
zimovet [89]

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

sin X = \frac{6}{7}

sin X = 0.8571

X = sin^{-1}(0.8571)

X = 58.99

m < X = 59.0 (rounded to nearest tenth)

4 0
2 years ago
Please solve it for me!! The answer is 97.3cm
Arada [10]

Answer:

which class do you read now?

5 0
2 years ago
Read 2 more answers
In your notebook, set up the following subtraction in a vertical format and select the correct answer. Find 2p 2 3p - 4 less - 2
Elena L [17]

The equation in the reduced form of the equation is \rm 4p^ 2 + 6p - 8.

Given that,

Equation; \rm  2p^ 2 + 3p - 4\  by\  -2p ^2 - 3p +4

We have to reduce the equation.

According to the question,

To reduce the equation means we need to subtract one equation from the other.

To determine the reduced form of the equation following all the steps given below.

Equation; \rm  2p^ 2 + 3p - 4\  by\  -2p ^2 - 3p +4

Subtraction equation 1 from equation 2,

\rm  = \rm  2p^ 2 + 3p - 4\  -(-2p ^2 - 3p + 4)\\\\=  2p^ 2 + 3p - 4\  -(-2p ^2 -3p +4)\\\\ = 2p^ 2 + 3p - 4+2p^ 2 + 3p - 4 \\\\ = 4p^ 2 + 6p - 8

Hence, The equation in the reduced form of the equation is \rm 4p^ 2 + 6p - 8.

For more details refer to the link given below.

brainly.com/question/1807316

3 0
2 years ago
If the absolute value of a number is added to the original number will the sum always equal 0
lbvjy [14]
Not necessarily. the absolute value of a number is that number's distance from 0 on a number line. if your taking the absolute value of a negative value, what you stated would be true. however, what if you took the absolute value of a positive number? hope that answers your question.
8 0
2 years ago
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