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3 years ago

13

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

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

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Fiesta28 [93]

<h2>For x=2</h2>

$- 10(2) + y = 4$

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$y = 24$

<h2>For x=1</h2>

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$y = 14$

<h2>For x=0</h2>

$- 10(0) + y = 4$

$0 + y = 4$

$y = 4$

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

$- 10( - 1) + y = 4$

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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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3 years ago