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padilas [110]
3 years ago
14

What is the value of x?

Mathematics
1 answer:
Rainbow [258]3 years ago
5 0

Answer:

  x = 14

Step-by-step explanation:

The two tangents are the same length, so ...

  x² = AC = AB = 196

  x = √196

  x = 14

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Write a equation in slope intercept form of the line that passes through the given point and is perpendicular to the graph of th
soldi70 [24.7K]

Answer:

The perpendicular line would be y = -2x - 4

Step-by-step explanation:

First we must solve the original equation for y.

x - 2y = 7

-2y = -x + 7

y = 1/2x - 7/2

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 2 = -2(x + 3)

y - 2 = -2x - 6

y = -2x - 4

3 0
3 years ago
How do you solve this equation log(3x+1)=5
Len [333]

log_{10} 3x+1=5

3x+1=10^5

3x+1=100000

3x=99999

x=333333


Just remember that in the form of log_ab=x, you get a^x=b.


7 0
3 years ago
Read 2 more answers
Solve a-d please i really dont understand
valkas [14]
So i think what you do is if you make a number line like this:

1...2...3...4...5...6...7...8

you have to find out how many numbers are in between 4 and 7, so I would be 3 because there are 3 numbers I between 4-7.

so

a) 3
b) 6
c) 14
d) 8
5 0
3 years ago
Choose two positive integers a and b, making sure that a<5 and b>80 . The width of a rectangular computer screen is a inch
qwelly [4]

Answer:

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

Step-by-step explanation:

Height = H

Width = H + a

Area = Height x Width

b = H * (H + a)

b = H^{2} + aH

H^{2} + aH > 80

H^{2} + aH - 80 > 0

a<5 means 'a' can be a = 1, 2, 3, 4

Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below

H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}

As 'a' and 'b' must be positive integers, H and W must be positive integers as well,

a = 1, H = 8.46, H = -9.46

a = 2, H = 8, H = -10

a = 3, H = 7.57, H = -10.57

a = 4, H = 7.17, H = -11.17

Based on above possible answers:

a=2, H=8

W = H + a

W = 8 + 2

W = 10

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

5 0
3 years ago
Please help!!! ASAP<br><br> With all these questions
andrey2020 [161]
#1. 4:7 8:14 12:21
#2. 5:7 10:14 15:21
#3. 9:7 18:14 27:21
#4. 11:2 22:4 33:6
#5. 7:21 14:42 21:63
#6. 7:5 14:10 21:15
#7. Equals
#8. Equals
#9. Equals
#10 not equal
#11 not equal
# 12. Equals
#13. y=20
#14. y=14
#15. y=15
#16. y=40
#17. y=40
#18. y=36
7 0
3 years ago
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