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Sloan [31]
3 years ago
13

Given RS = 6, ST = 3, and SL = 4, find SM.

Mathematics
2 answers:
NemiM [27]3 years ago
7 0
A² + b² = c²
3² + 4² = c²
9 + 16 = c²
C² = 25
C = 5
so
SM = 5
Sergio039 [100]3 years ago
7 0

Answer:

SM=5\ units

Step-by-step explanation:

We know that

The diagonal SM of the rectangle LMTS  is equal to (applying the Pythagoras Theorem)

SM^{2}=SL^{2}+ST^{2}

we have

ST= 3\ units, SL=4\ units

substitute the values

SM^{2}=4^{2}+3^{2}

SM^{2}=25

SM=5\ units

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?​
Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = y-y_1 = m(x-x_1)

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation y=-\frac{3}{4}x+5

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is -\frac{1}{3}.

So, since the given slope is -3/4, the negative reciprocal is \frac{4}{3}.

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1

The y-intercept of the line is 1.

3 0
2 years ago
How.many grams equals 25 killograms
34kurt

Answer:

Step-by-step explanation:

1 kilogram = 1000 grams

since we need to know 25 kilograms you can do

25 x 1000

giving us 25,000

4 0
3 years ago
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Students are planting a flower bed for science class. The flower bed can be 4.5 ft wide and will be divided into 2 sections for
aksik [14]

Answer:

3(4.5)  Because they equal the same thing

Step-by-step explanation:

4.5(+3)=13.5

3(4.5)=13.5

7 0
2 years ago
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Fiesta28 [93]
<h2>For x=2</h2>

- 10(2) + y = 4

- 20 + y = 4

y = 24

<h2>For x=1</h2>

- 10( 1) + y = 4

- 10 + y = 4

y = 14

<h2>For x=0</h2>

- 10(0) + y = 4

0 + y = 4

y = 4

<h2>For x=-1</h2>

- 10( - 1) + y = 4

10 + y = 4

y =  - 6

<h2>For x=2</h2>

- 10( - 2) + y = 4

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8 0
2 years ago
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When 10 is added to the number that is produced by doubling the number x, the result is equal to 5 times the number that is 7 le
marta [7]
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