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2 years ago

A) Complete the table of values for x + 2y = 7

Mathematics

2 answers:

lozanna [386]2 years ago

7 0

Answer:

4.5 , 4 , 3.5 , 3 , 2.5 , 2

Step-by-step explanation:

It's really easy

we need to replace value of 'x' in x+2y=7 by the given values and find the value of y and write it in the table

so first the value of x is -2

replacing value of x by -2

x+2y=7

or, -2+2y=7

or, 2y = 7+2

or, y= 9/2

or, y= 4.5

and we do the same process for other values of x and y

Marrrta [24]2 years ago

3 0

The values for y are as follows
4.5, 4, 3.5, 3, 2.5, 2

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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

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

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$(LH)^2+81=225$

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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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