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qaws [65]
1 year ago
12

Find the slope of the line perpendicular to the line graphed below. MUST BE IN ITS SIMPLEST FORM.

Mathematics
1 answer:
NNADVOKAT [17]1 year ago
3 0

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

<h3>How to determine the slope of a line perpendicular to another line</h3>

The slope of a function is determined by the secant line formula and is defined by the following expression:

m = Δy / Δx         (1)

Where:

  • Δx - Change in the independent variable.
  • Δy - Change in the dependent variable.
  • m - Slope of the line.

Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:

m' = - 1 / m

If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:

m = 3 / 2

m' = - 1 / (3 / 2)

m' = - 2 / 3

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

To learn more on slopes: brainly.com/question/2491620

#SPJ1

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Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?
Sonja [21]

Answer:

Second option: (-2,-3) and (1,0)

Step-by-step explanation:

Given the system of equations \left \{ {{y = x^2 + 2x-3} \atop {y = x - 1}} \right., you can rewrite them in this form:

x^2 + 2x-3= x - 1

Simplify:

x^2 + 2x-3-x+1=0\\\\x^2+x-2=0

Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

(x+2)(x-1)=0\\\\x_1=-2\\\\x_2=1

Substitute each value of "x"  into any of the original equation to find the values of "y":

y_1= (-2) - 1=-3\\\\y_2=(1)-1=0

Then, the solutions are:

(-2,-3) and (1,0)

7 0
3 years ago
Read 2 more answers
Are these correct? If not please help me write the correct answer.​
Keith_Richards [23]

Answer:

Mostly correct

For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.

For Q4, I think you were confused with the fractions,

4(i)

(\frac{2}{3} )^{4} = (\frac{2^{4}}{3^{4}}) = (\frac{16}{81}) =0.198

4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64

Hope this helps!

4 0
3 years ago
Read 2 more answers
Pls help i dont understand
Alisiya [41]

The formula for the circumference is 2πr.

The diameter d is given, which is 2 times the radius r (d = 2r)

So you have to calculate π d = 3.142×1.8 ≈ 5.7

6 0
3 years ago
When two fair dice are rolled, what is the probability that at least one of the numbers will be even??
netineya [11]
The probability would be 1/4. The probability of rolling an even number on each die is 1/2. Since there are two dice you would multiply the probability of each die together. 1/2*1/2=1/4. The reason you would this is because you could roll two odd numbers that equal an even number such as 3 and 5.
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3 years ago
Tomas is comparing the fractions 1/3 and 3/4. He rewrites the fraction using a common denominator.
anygoal [31]

Answer:

Step-by-step explanation:

4/12 <9/12

8 0
3 years ago
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