What is the distance between A and B? Round your answer to the nearest hundredth.

1 answer:

6 0

An extension of the Pythagorean Theorem results in what is the so-called "distance formula".

d^2=(x2-x1)^2+(y2-y1)^2, in this case you have points (-2,4) and (2,0) so:

d^2=(2--2)^2+(0-4)^2

d^2=4^2+(-4)^2

d^2=16+16

d^2=2*16

d=√32 units

d=√(2*16)

d=4√2 units

d≈5.66 units (to nearest hundredth of a unit)

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What is y= |x + 5| -4

krek1111 [17]

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Step-by-step explanation:

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2 years ago

Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8

goblinko [34]

$\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right.$

To solve this system by substitution, first isolate x in the second equation.

$x+7y=8$
$x+7y-7y=8-7y$
$x=8-7y$

Now, plug this expression ( $8-7y$ ) for x in the top equation to solve for y.

$\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}$
$3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}$
$72-63y+8y=17$
$72-55y=17$
$-55y=17-72$
$-55y=-55$
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Now that you have y, plug it into the second equation and solve for x.

$x+7y=8$
$x+7(1)=8$
$x+7=8$
$x=1$

Last step is to plug your x- and y-values in to both equations to check your work.

$\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}$

$\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24}$

$\frac{9}{24} + \frac{8}{24} = \frac{17}{24}$ <--True

$1+7(1)=8$
$1+7=8$ <--True

Answer:
$x=1 \\ y=1$

5 0

3 years ago

Pls help with this (im not trying to be annoying)

ss7ja [257]

C(8)=29 you have to plug in 8 for n in the equation and solve. Hope this helps!!!