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4 years ago

A) 9 B) 0 C) Undefined D) 6

Mathematics

1 answer:

mezya [45]4 years ago

8 0

Answer:

Step-by-step explanation:

The slope of a horizontal line is equal to 0.

The slope of a vertical line is undefined.

The formula of a slope:

$m=\dfrac{y_2-y_!}{x_2-x_1}$

Put the coordinates of the pojnts from the graph (2, 9) and (4, 9):

$d=\dfrac{9-9}{4-2}=\dfrac{0}{2}=0$

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What is the probability that a family with three children will have all girls?

labwork [276]

Answer:

B) 1/8

Step-by-step explanation:

each child born has 50/50 to be a boy or a girl, so, we determine a Bernoulli process where p=0.5, and we need 3 out of 3 successes.

the probability will then be:

(0.5)³=0.125=1/8

3 0

2 years ago

Read 2 more answers

Write the equation of a line that is perpendicular to x=3x=3x, equals, 3 and that passes through the point (0,-4)(0,−4)left pare

leva [86]

Answer: $x+3y=12$

Step-by-step explanation:

Slope of two lines that are perpendicular to each other is 1.

If one line is $y=3x$ , then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]

Let n be the slope of the required line, then

$n\times3=-1\\\\\rightarrow\ n=\dfrac{-1}{3}$

Equation of line with slope n and passers through (a,b) is

$(y-b)=n(x-a)$

Equation of line with slope n= $\dfrac{-1}{3}$ and passes through point ( 0,-4) :

$(y-(-4))=\dfrac{-1}{3}(x-0)\\\\\Rightarrow\ y+4=\dfrac{-1}{3}x\\\\\Rightarrow\ -3(y+4)=x\\\\\Rightarrow-3y-12=x\\\\\Rightarrow x+3y=12$

Hence, Required equation : $x+3y=12$

8 0

3 years ago

Type the correct answer in each box.

Mariulka [41]

Answer:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$r=\sqrt{(2+4)^{2}+(-3-5)^{2}}$

$r=\sqrt{(6)^{2}+(-8)^{2}}$

$r=\sqrt{100}\ units$

$r=10\ units$

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(5,-4)\\r=10\ units$

substitute

$(x-5)^2+(y+4)^2=10^2$

$(x-5)^2+(y+4)^2=100$

6 0

3 years ago

Evaluate the following expression. 8to the power of 3 − 9 ⋅ 2 ÷ 3 = ?

ahrayia [7]

Answer:

8^-3 I think (i'm too lazy to simplify)

Step-by-step explanation:

3 - 9 * 2 ÷ 3 = ?

3 - 18 ÷ 3 = ?

3 - 6 = -3

8 to the power of -3

hmmmm i dont think im right tell me if im not

3 0

3 years ago

1.what is the slope of the line passing through the points (1,-5) and (4,1)?

hoa [83]

Answer:

C. 2

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)

= (1-(-5)) / (4-1)

= (1+5) / 3

= 6/3

= 2

3 0

3 years ago