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grigory [225]
3 years ago
9

What is an equation of the line that is perpendicular to y = -2/3x + 5 and passes through the point (2,11)

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer: y = 3x/2 + 8

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the line.

The equation of the given line is

y = - 2x/3 + 5

Comparing with the slope intercept form, slope = - 2/3

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (2, 11) is 3/2

To determine the y intercept, we would substitute m = 3/2, x = 2 and y = 11 into y = mx + c. It becomes

11 = 3/2 × 2 + c

11 = 3 + c

c = 11 - 3 = 8

The equation becomes

y = 3x/2 + 8

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What is the value of x? 6x−2(x 4)=12
jonny [76]

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

3 0
3 years ago
I need help what is the answer plz
dlinn [17]

Answer:

-2.25

Step-by-step explanation:

Since there are 4 ticks between 2 numbers, we do 1/4 = 0.25

Now we find the value:

-2.25

8 0
3 years ago
One angle of an isosceles triangle measures 96 degrees. Which other angles could be in that isosceles triangle?
Fofino [41]
One angle of an isosceles triangle measures 96 degrees. Which other angles could be in that isosceles triangle?

Ans is 42
But not sure about it
8 0
3 years ago
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astra-53 [7]

Answer:

x = 10, x = 124

Step-by-step explanation:

(5)

Since Δ JKL is isosceles then the base angles are congruent, that is

∠ LJK = ∠ LJG = 80° , thus

∠ JLK = 180 - (80 + 80) = 180 - 160 = 20

x = 20 ÷ 2 = 10

(6)

Since Δ PQR is equilateral, then each of its angles = 60°

∠QRS = 60° - 32° = 28°

Since Δ SQR is isosceles then base angles are congruent, then

∠ SQR = ∠ QRS = 28 , thus

x = 180 - (28 + 28) = 180 - 56 = 124

5 0
3 years ago
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Emmitt runs 5 miles in 40 minutes. How long does it take to run per mile?
puteri [66]

Answer:

08 : 00

min : sec

8 minutes each mile

4 0
3 years ago
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