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2 years ago

Y-3 = 4(x + 2) find the x value

Mathematics

2 answers:

slega [8]2 years ago

7 0

The value of x is x=y-11/4

lidiya [134]2 years ago

3 0

Answer:

x= y-5/4

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THANK YOU.

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A rope from the top of a mast on a sailboat is attached to a point 6 feet from the base of the mast. If the rope is 24 feet long

Zanzabum

Answer: It is about 23 feet.

Step-by-step explanation:

1. Let's call x the height of the mast.

2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.

3. To calculate x, you must apply the Pythagorean Theorem as you can see below:

$x=\sqrt{(24ft)^{2}-(6ft)^{2}}\\x=\sqrt{540ft^{2}}$

$x$ ≈ $23ft$

3 0

2 years ago

Write the equation of the line that passes through the points

sesenic [268]

Answer:

$y+5=2(x-3)$ or $y+9=2(x-1)$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

$m=\frac{-9+5}{1-3}$

$m=\frac{-4}{-2}$

$m=2$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

Analyze two cases

First case

we have

$m=2$

$point\ (3,-5)$

substitute

$y+5=2(x-3)$

Second case

we have

$m=2$

$point\ (1,-9)$

substitute

$y+9=2(x-1)$

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0

2 years ago

NEED HELP WITH 7 AND 8 I WILL GOVE BRAINEST ONLY IF YOU ACTUALLY DO THE PROBLEMS

mihalych1998 [28]

7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7

8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8

3 0

2 years ago

Can someone solve this

Gemiola [76]

Answer:

f(h(-1)) = -1

Step-by-step explanation:

f(x) = (x-4)/3

h(x) = 3x + 4

f(h(-1)) = ?

So first off we need to solve for h(-1):

h(x) = 3x + 4

h(-1) = 3(-1) + 4

h(-1) = 1

Next, we plug this value into the f(x) equation:

f(x) = (x-4)/3

f(1) = (1-4)/3

f(1) = -1

f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)

Thus we can say that f(h(-1)) is equal to -1

8 0

2 years ago

What is 3 times 7 plus 5 minus 2 subtracted by 3 plus y y equals 106

Rashid [163]

Answer:

127

Step-by-step explanation:

3 x 7 + 5 - 2 - 3 + y

y = 106

3x7 = 21

21 + 5 = 26

26 - 2 = 24

24 - 3 = 21

21 + 106 = 127

6 0

2 years ago

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