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3 years ago

15

Helppp!!!! please!!!

1 answer:

KatRina [158]3 years ago

8 0

Answer:

Option B is the correct answer

Step-by-step explanation:

Center of the circle lie on point (-1, - 3) = (h, k)

$\implies \: h = - 1 \: \: k = - 3 \\radius \: r \: = 2 \\ equation \: of \: circle \: in \: standard \: form \: \\ is \: given \: as : \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {(x + 1)}^{2} + {(y + 3)}^{2} = {2}^{2} \\ \purple{ \boxed{ \bold{ {(x + 1)}^{2} + {(y + 3)}^{2} = 4}}}$

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There are 20 children in the cast of a class play, and 8 of the children are boys. of the boys, 4 have a speaking part in the pl

kotykmax [81]

<span>it all looks confusing when we try to juggle with all those numbers in the head. The problem can be solved systematically by constructing a contingency table.
</span>role/gender B G total
speaking...... 4 4 8
<span> silent............ 4 8 12
total............. 8 12 20
</span>Probability of a child having a speaking part is therefore
(4+4)/20=8/20=2/5
a. 2/5

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3 years ago

Read 2 more answers

NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6

larisa [96]

Answer:

$r\geq -18$

Step-by-step explanation:

$\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}$

Hope this helps!

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3 years ago

Clea estimates that a glass contains 250.55 mL of water. The actual amount of water in the glass is 279.48 mL. To the nearest te

inn [45]

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3 years ago

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write an equation of the line passing through point p that is perpendicular to the given line p(6,10),y=-3x+13

patriot [66]

Answer:

y = $\frac{1}{3}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - 3x + 13 is in this form

with m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-3}$ = $\frac{1}{3}$

y = $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 10) into the partial equation

10 = 2 + c ⇒ c = 10 - 2 = 8

y = $\frac{1}{3}$ x + 8 ← equation of line

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3 years ago

X-y=6<br> 2x-3z=16<br> 2y+z=4<br><br> Solve the systems of equations.

Neko [114]

Answer:

Given System of equation:

x-y =6 .....,[1]

2x-3z = 16 ......[2]

2y+z = 4 .......[3]

Rewrite the equation [1] as

y = x - 6 .......[4]

Substitute the value of [4] in [3], we get

$2(x-6)+z = 4$

Using distributive property on LHS ( i.e, $a \cdot (b+c) =a \cdot b+ b \cdot c$ )

then, we have

2x - 12 +z =4

Add 12 to both sides of an equation:

2x-12+z+12=4+12

Simplify:

2x +z = 16 .......[5]

On substituting equation [2] in [5] we get;

2x+z=2x -3z

or

z = -3z

Add 3z both sides of an equation:

z+3z = -3z+3z

4z = 0

Simplify:

z = 0

Substitute the value of z = 0 in [2] to solve for x;

$2x-3(0) = 16$

or

2x = 16

Divide by 2 both sides of an equation:

$\frac{2x}{2} =\frac{16}{2}$

Simplify:

x= 8

Substitute the value of x =8 in equation [4] to solve for y;

y = 8-6 = 2

or

y = 2

Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0

5 0

3 years ago