Solve each linear system by Elimination

Answer:

90-26=4x    x=16

Step-by-step explanation:

Answer:

The height of Moyo is

[tex]\frac{67}{6}[/tex]

The height of Adamu is

[tex]\frac{13}{6}[/tex]

Step-by-step explanation:

Equations

To solve the problem, we assign the variable:

x = height of Moyo

Since Moyo is 9 units taller than Adamu:

x - 9 = height of Adamu

The difference of the squares of their heights is 120, thus:

[tex]x^2-(x - 9)^2=120[/tex]

Operating:

[tex]x^2-(x^2-18x+81)=120[/tex]

[tex]x^2-x^2+18x-81=120[/tex]

Simplifying:

[tex]18x-81=120[/tex]

Adding 81:

[tex]18x=120+81=201[/tex]

Dividing by 18:

[tex]x=\frac{201}{18}=\frac{67}{6}[/tex]

The height of Moyo is

[tex]\frac{67}{6}[/tex]

The height of Adamu is

[tex]\frac{67}{6}-9=\frac{13}{6}[/tex]

Answer:

It was 50%

Step-by-step explanation:

Answer:

[tex]g(x) =1(x + 7)^2 + 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

Required

Determine g(x) where g(x) is a translation of f(x), 7 units to the right

When a point is translated to the right, the resulting point is:

[tex]x -> x + b[/tex]

Where b is the number of units to the right.

In this case:

[tex]b = 7[/tex]

So, we have:

[tex]g(x) = f(x +7)[/tex]

Solving f(x+7)

Substitute x + 7 for x in [tex]f(x) = x^2[/tex]

[tex]f(x + 7) = (x+7)^2[/tex]

So, we have:

[tex]g(x) = (x+7)^2[/tex]

To write in the form of [tex]a(x - h)^2 + k[/tex], we have:

[tex]g(x) =1(x + 7)^2 + 0[/tex]

Answer:

Step-by-step explanation:

-5x - 2 = 11

-5x = 13

x = -13/5

x = -2.6

Answer:

x = 5

Step-by-step explanation:

Diagonals of a parallelogram bisect each other. Based on this knowledge, to show that the quadrilateral is a parallelogram, therefore:

3x - 4 = x + 6

Solve for x

Collect like terms

3x - x = 4 + 6

2x = 10

Divide both sides by 2

x = 5

Answer:

Common ratio=1/2

Sum of first 6 terms of an A.P=31.5

Step-by-step explanation:

Let a be the first term and d be the common difference of an A.P

a=4

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Using the formula

[tex]a_4=a+3d=4+3d[/tex]

[tex]a_{10}=a+9d=4+9d[/tex]

According to question

We know that

For G.P

[tex]\frac{a_n}{a_{n-1}}=r[/tex]=Common ratio

[tex]r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex]\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]

[tex](4+3d)^2=\frac{4}{4+3d}[/tex]

[tex]16+9d^2+24d=16+36d[/tex]

[tex]9d^2+24d-36d-16+16=0[/tex]

[tex]9d^2-12d=0[/tex]

[tex]3d(3d-4)=0[/tex]

[tex]d=0, d=4/3[/tex]

Substitute the value of d

When d=0

[tex]r=\frac{4}{4+3d}=\frac{4}{4+0}=1[/tex]

When d=4/3

[tex]r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}[/tex]

But we reject d=0 because  if we take d=0 then the terms are not consecutive terms of G.P

Sum of n terms of an A.P

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

Using the formula

Substitute n=6 and d=1/2

[tex]S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})[/tex]

[tex]S_6=31.5[/tex]

Answer:

Slope for #17 is 3/2

Slope for #18 is -18

Step-by-step explanation:

Answer:

Increasing

Step-by-step explanation:

Let us take a look, at these fractions in decimal forms.

1/7 = 0.14

2/7 = 0.28

3/7 = 0.42

4/7 = 0.57

5/7 = 0.71

From, these we can see that the value of the numbers keep increasing. So, the sequence above is increasing.

Answer:

(We don’t have a picture so i’ll remind you about how to solve it.)

Step-by-step explanation:

Slope is rise over run. You find a point of the graph where the line goes through. Look for a 2nd point on the graph where the line goes through a point.  Count up, and to the side and you have your answer :)

Answer: there u go this the correct answer if your on khan academy.

From the given right angle triangle, the length of side BC will be equal to 6√2.

Any triangle that has one 90º angle has a right angle. Right triangles are those with an angle of 90 degrees, or "right angles," and are therefore those with this angle. The Pythagorean rule can be used to clarify the relationship between both the triangle's different sides.

As per the data provided in the question,

If one of the angles in a right triangle is 45 degrees, therefore the complimentary angle must also be 45 degrees.

Then,

m∠B = 45°

From the triangle ABC.

Cos B = BC/AB

As we know, the value of cos at 45° = √2/2

AB = 12

BC = cos (B) (AB)

BC = (√2/2) × 12 = 6√2 units.

To know more about right angle triangle:

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Answer: The equation to find  Number of grand seats, s are either of the following

               x+ s= Total seats

                x+s= 19,000

                5000+s= 19,000

Number of grand seats, s= 14,000

Step-by-step explanation:

Step 1

A stadium had a total of 19,000 seats.

Given that  field seats=5,500

And the rest which are grandstand seats=?

Let field seats be represented  as x and grand seats be represented as s

such that the total  number of seats can be expressed as

x+ s = Total seats

x+ s=  19,000-------- Equation.

5000+s= 19,000

Step 2

Such that given field seats, x= 5000, Number of grand seats will  now be

x + s= 19,000

5000 + s= 19,000

s= 19,000-5000

=14,000 seats

The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.

An exterior angle of a polygon is the angle between a side and its adjacent extended side.

Polygon is a plane figure with a finite number of straight line segments.

The sum of exterior angles of any polygon is 360 degrees.

The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.

Find out more on exterior angle at: https://brainly.com/question/2546141

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Answer:

no, no I don't know the answer. Sorry and hope you have a nice rest of the day

Answer and Step-by-step explanation:

one divided by (in parentheses) x minus eight should look like this:

[tex]\frac{1}{x-8}[/tex]

This is a graph of this expression.

#teamtrees #WAP (Water And Plant)

Answer:

x=2 y=1 hope this helps I used a graph

Answer:

V>-8

Step-by-step explanation:

The given inequality is :

4-V>12

Subtracting 4 from both sides.

4-V-4 > 12-4

-V>8

or

V>-8

So, the value of V is more than -8.

Answer:

$5.96

Step-by-step explanation:

I divided 4 by 100 then multipley by 24

Answer:

12%

Step-by-step explanation:

[tex]P=\frac{6}{22+20+6+2} =.12[/tex]

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

Answer:

$12.45

Step-by-step explanation:

To find the rental cost, plug in 30 as x

c(x) = 0.09x + 9.75

c(30) = 0.09(30) + 9.75

c(30) = 12.45

So, the total rental cost for 30 miles is $12.45

Answer:

Pearl pale hand

Step-by-step explanation:

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

Answer: B

Step-by-step explanation: Imagine the axis being a mirror if you draw a triangle and put it in a mirror u would get what is on B

Answer:

B or C

I’m still bad In geometry

Answer:

2p+2q

Step-by-step explanation: