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3 years ago

Find the points of intersection of the following function graphs: y=20x−70 and y=70x+30

Mathematics

1 answer:

LekaFEV [45]3 years ago

4 0

Answer:

(-2,-110)

Step-by-step explanation:

First solve for x

20x−70=70x+30

x= -2

Now substitute x for -2

y=20x−70

y=20(-2)-70

y = -110

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What is the mean,mode,range <br><br> 6,13,8,9,10,18,10,15,19

lesya [120]

Answer:

Mode-10

Mean-12

Range-13

Step-by-step explanation:

Mode is the most common which is 10

Mean is the averge so you add them all together then diviede based on how many numbers there are

Range is the difference between the smallest and biggest number so you just subtract. Biggest- smallest

4 0

3 years ago

Find the missing lengths: LK=15 and KH=9, find KI and HI.

Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

$base^2+perpendicular^2=hypotenuse^2$

Use Pythagoras in triangle HKL

$LH^2+KH^2=LK^2$

$(LH)^2+9^2=15^2$

$(LH)^2+81=225$

$(LH)^2=144$

Taking square root on both sides.

$LH=12$

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

$(KI)^2+15^2=(12+x)^2$

$(KI)^2+225=x^2+24x+144$

$(KI)^2=x^2+24x+144-225$

$(KI)^2=x^2+24x-81...(1)$

Use Pythagoras theorem in ΔHKI,

$(KI)^2=x^2+9^2$

$(KI)^2=x^2+81...(2)$

From (1) and (2) we get

$x^2+81=x^2+24x-81$

$24x=162$

$x=\dfrac{162}{24}=6.75$

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

$(KI)^2=(6.75)^2+81$

$(KI)^2=126.5625$

Taking square root on both sides.

$KI=\sqrt{126.5625}$

$KI=11.25$

Hence, the measure of KI is 11.25 units.

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3 years ago

How to figure out average

lesya692 [45]

You add all of the numbers up then divide them by the number of values you added

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Dmitry_Shevchenko [17]

I don’t think so because I’m pretty sure you can not square a negative, the fraction is kinda throwing me off

7 0

2 years ago

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Effectus [21]

Answer:

X int: (-3,0)

y int: (0,-6)

Step-by-step explanation:

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3 years ago

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