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shtirl [24]
3 years ago
15

Which of the following equations are perpendicular

Mathematics
1 answer:
Andrews [41]3 years ago
6 0
I think it’s the third one but I’m not %100 sure
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4x^2-21x-18=0<br> Find the discriminate
SpyIntel [72]

a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x<sup>2</sup> - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

6 0
2 years ago
Read 2 more answers
What is the slope of the line that passes through the points (8,2) and (10,2)? Write your answer in the simplest form.​
Oxana [17]

slope of line=(y2-y1)/(x2-x1)

give is

(x1,y1)=(8,2)

(x2,y2)=(10,2)

therefore slope =(2-2)/(10-8)=0/2=0

Hence

answer

Slope of line=0

3 0
2 years ago
Find the volume of each figure.
s344n2d4d5 [400]

Answer:

960

Step-by-step explanation:

Multiply 8x12x10 and you get 960

6 0
3 years ago
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Find the exact value of sec(-4π/3
melisa1 [442]
<span>Find the exact value of sec(-4π/3).  Note that one full rotation, clockwise, would be -2pi.  We have to determine the Quadrant in which this angle -4pi/3 lies.  Think of this as 4(-pi/3), or 4(-60 degrees).  Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees.  This is in Q III.  The ray representing -240 has adj side = -1 and opp side = to sqrt(3).

Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.

Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3)    (answer).  This could also be written as (2/3)sqrt(3).


</span>
3 0
3 years ago
What to the tenth power can get you 300
OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

x^{10}=300

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689

hence, 1.7689 raised to 10th power will give us 300

5 0
3 years ago
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