pls i need help with this equation good points, will mark. brainliest​

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:

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

5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)

or 4

Answer:

Pearl pale hand

Step-by-step explanation:

Answer:

The Smith's planted 9 trees

Step-by-step explanation:

21-12=9

Because the Smith's ending amount is 21, and their beginning amount is 12 you subtract 21-12=9

Answer:

Well, there can be two answers. One of them can be 9, since they planted 9 MORE trees on top of the 12 already there. (21-12=9) The other answer can be 33 if you count all the trees they planted. (12+21=33)

Step-by-step explanation:

Answer:

x = 146º

Step-by-step explanation:

opposite angles in a parallelogram are equal to each other, so x = 146º

answer:

48 + 12 + 35 + 57 + 42 + 15 + 74 + 29 = 312

divide by number of numbers,

312 / 8 = 39

the mean is 39.

if correct, please mark the brainliest :)

Answer:

the mean is 39.

Step-by-step explanation:

Answer:

$5.96

Step-by-step explanation:

I divided 4 by 100 then multipley by 24

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:

$15.00

Step-by-step explanation:

Suppose 1 rose bush costs r dollars,

Suppose 1 geranium costs g dollars.

Here are 2 equations:

1)6r+14g=146

3r+7g=73

2)r+7g=57

r=57-7g

Put 2) in 1)

3(57-7g)+7g=73

171-21g+7g=73

98=14g

g=7

r=8

7+8=$15.00

Hope I helped!

Answer:

Slope for #17 is 3/2

Slope for #18 is -18

Step-by-step explanation:

I believe the answer is ASA

Answer:

1 / 18 = 5.555555555556%

Step-by-step explanation:

hope it helps

The  [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.

Let us consider that x part of 18 is equal to 1.

So that,

               [tex]x*18=1\\\\x=\frac{1}{18}[/tex]

Therefore, [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.

Learn more about the fraction here:

https://brainly.com/question/78672

Answer:

x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1

Step-by-step explanation:

(x + 1)⁷: Pascal's Triangle for (a+b)⁷

a₇+7a⁶b+21a⁵b²+35a⁴b³+... + 7a¹b⁶ + b⁷

x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1

Answer:

n+p=4.50

n=2p

2p+p=4.5

2p=4.5

p=$1.5

n=$3

Step-by-step explanation:

Answer:

Pencil: $1.50

Notebook: $3

Step-by-step explanation:

n = cost of notebook

p = cost of pencil

n + p = 4.5

n = 2p

substitute n into the first equation

2p + p = 4.5

3p = 4.5

p = 1.5

n = 2p

n = 2(1.5)

n = 3

Answer:

try mat.h way it will help

Step-by-step explanation:

Answer: B: 720

Step-by-step explanation: One turn is 360

Answer: x < 8

Reason: I did some math

Answer:

x<8

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

375 , 400, 410 (arrange in asc or des)

median = (middle num) = 400

Hope its right!

Answer:

400

Step-by-step explanation:

the answer is,......

d = 0

Answer:

Multiple 4 and 7, then add 3 is equivalent to

C. 4 x 7 + 3

Answer:

C. 4 x 7 + 3

Step-by-step explanation:

→ Multiply 4 and 7

4 × 7

→ Then add 3

4 × 7 + 3

Answer:

option (3)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 12x + 7

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 12x

f(x) = x² + 2(- 6)x + 36 - 36 + 7

      = (x - 6)² - 29

with vertex (h, k ) = (6, - 29 )

Answer:

$30.64 +6% tax and 18% tip

Step-by-step explanation:

Hope it helps

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:

https://brainly.com/question/3770177

#SPJ2

Answer:

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

Answer:

3

Step-by-step explanation:

8-5= 3

11-8= 3

14-11= 3

Answer:

common difference = difference between two consecutive number in a given series

hence,

8-5=3

common difference =3

Answer:

Step-by-step explanation:

The first number is

−

13

and the second number is

−

6

Explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

−

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

−

7

for

n

in the second equation and solve for

m

:

2

(

m

−

7

)

=

6

m

+

10

2

m

−

14

=

6

m

+

10

2

m

−

14

−

2

m

−

10

=

6

m

+

10

−

2

m

−

10

−

14

−

10

=

6

m

−

2

m

−

24

=

4

m

−

24

4

=

4

m

4

m

=

−

6

Now substitute

−

6

for

m

in the first equation and calculate

n

:

n

=

−

6

−

7

n

=

−

13