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dem82 [27]
3 years ago
8

Calculate.

{4} }" alt="\sqrt{(-4.5)^{4} }" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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A pair of perpendicular lines intersect at the point (5,9). Write
maw [93]

Answer:

The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18

Step-by-step explanation:

The coordinates of the point of intersection of the two lines = (5, 9)

The coordinates of a point on one of the two lines, line 1 = (-4, 4)

The slope of a line perpendicular to another line with slope, m = -1/m

Therefore, we have;

The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9

Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5

The equation of the line 2 is given as follows;

y - 9 = -9/5×(x - 5)

y - 9 = -9·x/5 + 9

y =  -9·x/5 + 9 + 9

y = -9·x/5 + 18

Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.

6 0
3 years ago
What is the value of a? <br> 14 – 2a = 4a – 16
VladimirAG [237]
14 - 2x = 4a - 16

First, add 2a to both sides. / Your problem should look like: 14 = 4a - 16 + 2a
Second, simplify 4a - 16 + 2a to get 6a - 16. / Your problem should look like: 14 = 6a - 16
Third, add 16 to both sides. / Your problem should look like: 14 + 16 = 6a
Fourth, add 14 + 16 to get 30. / Your problem should look like: 30 = 6a
Fifth, divide both sides by 6. / Your problem should look like: \frac{30}{6}  = a
Sixth, 6 goes into 5 to get 30, so simplify \frac{30}{6} to 5. / Your problem should look like: 5 = a
Seventh, switch your sides. / Your problem should look like: a = 5

Answer: a = 5
3 0
3 years ago
Read 2 more answers
Please help me with question #13
lesantik [10]
When dividing these, the powers are subtracted form each other. 
We could split up the fraction into r's, s's, and t's.
r^-3 / r^2 = r^-5 [think of it as -3 -2]
s^5 / s = s^4
t^2 / t^-2 = t^4 [2 - - 2 = 4]

A negative power places it on the bottom of the fraction and the minus sign is removed from the power. 
So the answer is A: (s^4)(t^4)/r^5
4 0
3 years ago
Find the cosine ratio of angle Θ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no
lina2011 [118]
Find the cosine ratio of angle ΘΘ. Hint: Use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no spaces. (4 points)

Cosine=adjacent/hypotenuse
adjacent=8
Hypotenuse =17

cosΘ=8/17
3 0
3 years ago
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After a deposit of $250, a withdrawal of $312, and a
pochemuha

114.50 if you add everything together and then subtract 67.50 you’ll get your answer

3 0
3 years ago
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