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3 years ago

Write an equation of the line that passes through the points. (2, 5), (0, 5) Y =

1 answer:

7 0

Right off the bat we know that the y-intercept is going to be 5 because of the second co-ordinate.

Now for the slope, because the y co-ordinate doesn't change, it has no slope so the equation is simply: y=5

Hope this helps :)

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I need help with number 7 and 8

devlian [24]

7.

The point-slope form of the equation of a line is

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is a point on the line.

We are given two points, so we can find the slope.

slope = m = (y2 - y1)/(x2 - x1)

The slope of this line is

m = (-3 - 7)/(5 - (-15)) = -10/20 = -1/2

Since every choice has a 7 and a 15, we now use point (-15, 7) and slope -1/2.

y - y1 = m(x - x1)

y - 7 = -1/2(x - (-15))

y - 7 = -1/2(x + 15)

5 0

3 years ago

A radio transmission tower is 170 feet tall. how long should a guy wire be if it is attached 15 feet from the top and is to make

beks73 [17]

The image of the given scenario is attached below.

A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.

Using the formula of sine, we can write:

$sin(27)= \frac{155}{x} \\ \\ 
x= \frac{155}{sin(27)} \\ \\ 
x=341$

Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.

5 0

3 years ago

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean valu

Sauron [17]

Answer:

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

$\mu = 15.0$

Standard deviation,

$\sigma = 1.25$

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

$= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})$

$=1-P(z\leq \frac{17.5 - 15}{1.25})$

$=1-P(z\leq \frac{2.5}{1.25})$

$=1-P(z\leq 2)$

$=1- 0.5793$ ( By using z-score table )

= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

$=P(z\leq \frac{18 - 15}{1.25}) - P(z\leq \frac{14 - 15}{1.25})$

$=P(z\leq \frac{3}{1.25}) - P(z\leq -\frac{1}{1.25})$

$=P(z\leq 2.4) - P(z\leq -0.8)$

= 0.9918 - 0.2119

= 0.7799

8 0

3 years ago

A rectangular bathtub is 5 1/2 feet long, 1 1/2feet wide, and 3 feet high. Daniel fills the tub to a depth of 2feet.What is the

Mademuasel [1]

To find the volume of the water that is in the tub, you will multiply the length by the wet by the height/depth of the water.

V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³

4 0

3 years ago

The area of a parallelogram is 5 cm Squared. explain why you can find the area without knowing the dimensions of the parallelogr

Ivan

Answer:

because a square always has the same length on each side so yo just see what number multiplies to that.

Step-by-step explanation:

6 0

2 years ago