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den301095 [7]
3 years ago
15

Melvin is X years old . Jonathan is 5 years older than Melvin. their total age 10 year later is 85 years .Find the value of X​

Mathematics
2 answers:
kumpel [21]3 years ago
8 0

Answer:

X= 40

Step-by-step explanation:

X ×2+5= Jonathan age.

So, 85÷2-5 = <u>X</u>

X= 85÷2-5

=<u>4</u><u>0</u>

emmainna [20.7K]3 years ago
7 0

Answer:

<h2>30 years</h2>

Step-by-step explanation:

Age of melvin = X

Age of Jonathon = X + 5

After 10 years,

Age of melvin = X + 10

Age of Jonathon = X + 15

Now,

According to the question,

x +10 + x + 15 = 85

Collect like terms

2x +10 + 15 = 85

Calculate the sum

2x + 25 = 85

Subtract 25 on both sides

2x + 25 - 25 = 85 - 25

Calculate

2x = 60

Divide both sides of equation by 2

\frac{2x}{2}  =  \frac{60}{2}

Calculate

x = 30

Hope this helps...

Good luck on your assignment..

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Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5)  and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: y=mx+b where m is the slope

Now, for finding equation the student used point slope form i.e y-y_1=m(x-x_1)

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step y-5 = 2(x-(-8))

So, Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

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Step-by-step explanation:

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It would look like

g=y-m/x

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Step-by-step explanation:

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Answer:

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3 years ago
Consider the diagram below. which of the following represents the values x,y and z?
Gemiola [76]

Answer:

x=4\sqrt{6}\ units

y=4\sqrt{2}\ units

z=4\sqrt{3}\ units

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

x^2=y^2+(12-4)^2

x^2=y^2+64

y^2=x^2-64 ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

z^2=y^2+4^2

z^2=y^2+16

y^2=z^2-16 ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

12^2=x^2+z^2

144=x^2+z^2 ----> equation C

step 4

Equate equation A and equation B

x^2-64=z^2-16

x^2=z^2+48 -----> equation D

step 5

substitute equation D in equation C

144=z^2+48+z^2

solve for z

2z^2=144-48

2z^2=96

z^2=48

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z=4\sqrt{3}\ units

Find the value of x

x^2=z^2+48

x^2=48+48=96

x=\sqrt{96}\ units

x=4\sqrt{6}\ units

Find the value of y

y^2=z^2-16

y^2=48-16

y^2=32

y=\sqrt{32}\ units

y=4\sqrt{2}\ units

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