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3 years ago

What is the value of n?

Mathematics

1 answer:

Archy [21]3 years ago

7 0

the theory is ab=cd where the lines across form eachother are a and b and the other two lines are a and d

a=7

b=n+4

c=5

d=n+8

7(n+4)=5(n+8)

7n+28=5n+40

2n+28=40

2n=12

n=6

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Are the lines parallel, perpendicular, or neither? 3x-y=5 y=3x+1

erica [24]

Answer:

Parallel

Step-by-step explanation:

To be parallel it would have to be the exact same slope, perpendicular would be the opposite...these equations have the same slope so it is parallel.

$3x-y=5\\3x-5=y\\y=3x-5\\\\vs\\y=3x+1$

3 0

3 years ago

What is the sign of -4x\cdot y\cdot 0^6−4x⋅y⋅0 6 minus, 4, x, dot, y, dot, 0, start superscript, 6, end superscript when xxx and

castortr0y [4]

Answer:

non-negative

Step-by-step explanation:

Given

$-4x\cdot y\cdot 0^6$

$x , y > 0$ --- Positive numbers

Required

The sign

$-4x\cdot y\cdot 0^6$

First, we simplify the expression

$0^6 = 0$

So:

$-4x\cdot y\cdot 0^6 = -4x\cdot y\cdot 0$

The product of 0 and any factor is 0. So:

$-4x\cdot y\cdot 0^6 = 0$

Since the result is 0, then the sign is non-negative

4 0

3 years ago

Which one is the correct one

kenny6666 [7]

Step-by-step explanation:

Sum of opposite angles are supplementary,

x + 60 + 3x = 180

4x + 60 = 180

4x = 180 - 60

4x = 120

x = 120 / 4

x = 30

8 0

3 years ago

Add fractions with unlike denominators 2/6+1/3

SOVA2 [1]

2/6 + 1/3
Simplify 2/6 to 1/3
1/3 + 1/3
Add
2/3

Have an awesome day! :)

From your friendly Helper-in-Training, collinjun0827

8 0

4 years ago

Read 2 more answers

Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Murljashka [212]

Answer:

Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

Step-by-step explanation:

We need to find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)

Endpoints of a diameter A(−6, 3) and B(4, 7)

The general equation of circle is: $(x-h)^2+(y-k)^2=r^2$

Where r is radius and (h,k) is centre of circle.

Finding centre of circle

The midpoint of diameter is centre of circle.

So, finding midpoint of A(−6, 3) and B(4, 7)

The formula used is: $Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

We have x_1=-6, y_1=3, x_2=4, y_2=7

$Midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )\\Midpoint=(\frac{-6+4}{2} ,\frac{3+7}{2} )\\Midpoint=(\frac{-2}{2} ,\frac{10}{2} )\\Midpoint=(-1 ,5)$

So, we get Midpoint (x,y)=(-1,5)

Finding radius of circle

Radius of circle can be found by first finding diameter using distance formula and then divide it by 2.

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Distance=\sqrt{(4-(-6))^2+(7-3)^2} \\Distance=\sqrt{(4+6)^2+(7-3)^2} \\Distance=\sqrt{(10)^2+(4)^2} \\Distance=\sqrt{100+16}\\Distance=\sqrt{116}\\Distance = 10.77$

So, Diameter = 10.77

Radius = Diameter/2 = 5.38

Equation of circle

Equation of circle having centre(-1,5) and radius r = 5.38 is:

$(x-h)^2+(y-k)^2=r^2\\(x-(-1))^2+(y-5)^2=(5.38)^2\\(x+1)^2+(y-5)^2=28.94$

So, Equation of circle is: $\mathbf{(x+1)^2+(y-5)^2=28.94}$

4 0

3 years ago