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3 years ago

How many solutions does the system of equations below have? x+y=4 and x-y=6

Mathematics

1 answer:

Inessa [10]3 years ago

6 0

X+y=4 :x=4-y,yR
x-y=6:x=6+y,yR

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What is the arc measure of \stackrel{\LARGE{\frown}}{AC}

algol [13]

Answer:

72°

Step-by-step explanation:

Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π

The length of arc ABC = $\frac{\theta}{360}*2\pi r$

Where θ is the central angle in degrees.

Since the length of arc ABC is 16π,

$16\pi=\frac{\theta}{360}*2\pi r\\16\pi=\frac{\theta}{360}*2\pi *10\\\theta=\frac{16\pi *360}{2 \pi *10} \\\theta=288^0$

The angle in a circle = 360°, therefore:

Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°

Therefore the arc measure of arc AB is 72°

5 0

4 years ago

If 5x + 4 = 8x + 10, then x = ?

Liula [17]

Answer:

x = - 2

Step-by-step explanation:

$5x + 4 = 8x + 10 \\ 5x - 8x = 10 - 4 \\ - 3x = 6 \\ x = \frac{6}{ - 3} \\ x = - 2$

7 0

3 years ago

Read 2 more answers

Pls help Solve for x. 6x/4 −24=x−2

riadik2000 [5.3K]

Answer:

6x/4-24=x-2

6x/4-24/1=x-2

(6x/4)1-(24/1)4=x-2

6x/4-96/4=x-2

(6x-96)/4=(x-2)/1

Then cross multiply to get this;

(6x-96)1=(x-2)4

6x-96=4x-8

6x-96+96=4x-8+96

6x=4x+88

6x-4x=4x-4x+88

2x=88

Divide both sides by 2

2x÷2=88÷2

x=44

Thank you.

BY GERALD GREAT.

5 0

3 years ago

A department store buys 100 shirts at a cost of $2 comma 700 and sells them at a selling price of $30 each. Find the percent m

Zinaida [17]

The percent markup is 11.11 %

Solution:

Given that, the store buys 100 shirts at a cost of $ 2700

Let us find the cost of 1 shirt

$\text{cost of 1 shirt } = \frac{2700}{100} = 27$

The store sells them at $ 30 each

Therefore,

Cost price of 1 shirt = $ 27

Selling price of 1 shirt = $ 30

Markup price = Selling price - Cost price

Markup price = 30 - 27

Markup price = 3

Thus markup price is $ 3

The percent markup is given as:

$\text{Percent markup } = \dfrac{\text{Mark up}}{\text{Cost price}}\times100\\\\\text{Percent markup } = \frac{3}{27} \times 100\\\\\text{Percent markup } = 11.11$

Thus the percent markup is 11.11 %

4 0

4 years ago

Need help wit this- pic below

Ann [662]

9514 1404 393

Answer:

x = 12

Step-by-step explanation:

We can find x using either the measure of angle B, or the measure of angle A.

Using A, we have ...

48 = x^2 -8x

Adding 16 completes the square:

64 = x^2 -8x +16 = (x -4)^2

Then the positive solution is ...

√64 = x -4

x = 4 +8 = 12

The triangles are similar when x=12.

Check

We expect angle B to be 84° when x=12:

(x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed

3 0

3 years ago