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sergey [27]
3 years ago
8

The slope of a line ST = 1. What is the value of y if S = (−5,−3) and T = (−1,y).

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Step-by-step explanation:

m =  \frac{rise}{run} \\m =  \frac{y2 - y1}{x2 - x1}  \\ 1 =  \frac{y - ( - 3)}{ - 1 - ( - 5)}  \\ 1( - 1 + 5) = y + 3 \\ 4 - 3 = y \\ 1 = y

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The diameter of a circle endpoints are A(-1, 5) and B(4,-3). Use the midpoint formula to find the coordinates of the center of c
mina [271]

Answer:

centre = (\frac{3}{2}, 1 )

Step-by-step explanation:

using the midpoint formula

midpoint = [\frac{1}{2}(- 1 + 4), \frac{1}{2}(5 - 3) ] = (\frac{3}{2}, 1 )


6 0
3 years ago
A twelve-foot ladder is leaning against a wall. If the ladder reaches ft high on the wall, what is the angle the ladder forms wi
hichkok12 [17]

This question is incomplete.

Complete Question

A twelve-foot ladder is leaning against a wall. If the ladder reaches eight ft high on the wall, what is the angle the ladder forms with the ground to the nearest degree?*

Answer:

42°

Step-by-step explanation:

From the question, the diagram that is formed is a right angle triangle.

To solve for this, we would be using the trigonometric function of Sine.

sin θ = Opposite side/ Hypotenuse

From the question, we are told that:

12 foot ladder is leaning against a wall = Hypotenuse

The ladder reaches 8ft high on the wall = Opposite side.

Hence,

sin θ = 8ft/12ft

θ = arc sin (8ft/12ft)

= 41.810314896

Approximately to the nearest degree

θ = 42°

Therefore, the angle the ladder forms with the ground to the nearest degree is 42°

3 0
3 years ago
What is equivalent ratio of 5:8:4 and explain how u got it
igor_vitrenko [27]

this is example

So, first we need to write the given ratio as fraction,

= 8/18

= (8 × 2)/(18 × 2)

= 16/36

= 16 : 36 (one equivalent ratio),

So, 16 : 36 is an equivalent ratio of 8 : 18.

Now we will find another equivalent ratio of 8 : 18 by using division.

Similarly, first we need to write the given ratio as fraction,

= 8/18

= (8 ÷ 2)/(18 ÷ 2)

= 4/9

= 4 : 9 (another equivalent ratio)

So, 4 : 9 is an equivalent ratio of 8 : 18.

Therefore, the two equivalent ratios of 8 : 18 are 16 : 36 and 4 : 9.

2. Frame two equivalent ratios of 4 : 5.

Solution:

To find two equivalent ratios of 4 : 5 we need to apply multiplication method only to get the answer in integer form.

First we need to write the given ratio as fraction,

= 4/5

= (4 × 2)/(5 × 2)

= 8/10

= 8 : 10 is one equivalent ratio,

Similarly again, we need to write the given ratio 4 : 5 as fraction to get another equivalent ratio;

= 4/5

= (4 × 3)/(5 × 3)

= 12/15 is another equivalent ratio

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Note: In this question we can’t apply division method to get the answer in integer form because the G.C.F. of 4 and 5 is 1. That means, 4 and 5 cannot be divisible by any other number except 1.

6 0
3 years ago
What is the sqaure root of 196/49?​
Alexeev081 [22]

Answer:

2

Step-by-step explanation:

<em>196/49=4</em>

<em />\sqrt{4}<em>=2</em>

hope this helped

have a great day!!

6 0
2 years ago
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