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3 years ago

6. Write the side length of the square as a square root. Is the side length a rational number? Explain.

Mathematics

1 answer:

morpeh [17]3 years ago

4 0

Answer:

the side length of 121 is 30.25

the square root of 30.25 is 5.5 and 5.5 is a rational number

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What are the coordinates of the point LaTeX: \frac{3}{4}\:3 4of the way from A to B? coordinate plane with line segment AB. Poin

egoroff_w [7]

Answer: $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

Step-by-step explanation:

It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

$AP:AB=3:4$

$AP:PB=AP:(AB-AP)=3:(4-1)=3:1$

It means, point P divides segment AB in 3:1.

Section formula: If a point divides a line segment in m:n, then

$\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Using section formula, we get

$P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)$

$P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)$

$P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)$

$P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$

Therefore, the required point is $\left(\dfrac{-7}{2},\dfrac{5}{4}\right)$ .

6 0

4 years ago

Y = 1/5x+3 explain plz

IceJOKER [234]

Answer:

alright all you need to do is Use the slope-intercept form to find the slope and y-intercept

So the Answer to the question is

Slope: 1/5

Y-Intercept: 3 Hope this helps :)

Step-by-step explanation:

8 0

4 years ago

How do you do this?????

o-na [289]

$y = 2x - 9$

Step-by-step explanation:

Let's rewrite the given equation such that only y is on the left side and everything else on the right side:

$3x + 6y = -30 \Rightarrow 6y = -3x - 30$

Simplifying this by dividing by 6, we get

$y = -\frac{1}{2}x - 5$

This line has a slope of -1/2, which means that a line perpendicular to this has a slope of 2 (i.e., negative reciprocal). So we can write its equation as

$y = 2x + b$

This is the slope-intercept form of the equation of the line perpendicular to our given line. To complete this form, we need to find the value of b. Since this line passes through (1, -7), put these numbers into our equation to get

$-7 = 2(1) + b \Rightarrow b = -9$