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Brilliant_brown [7]

3 years ago

9

Find the measure of the central angle indicated and place answer below:

1 answer:

Lyrx [107]3 years ago

4 0

Answer:

The cental angle = 135º

Step-by-step explanation:

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Solve: The quantity 2 x minus 20 divided by 3 = 2x −5 −3 2 13

harina [27]

(2x-20)/3 = 2x start by multiplying both sides by 3

8 0

3 years ago

Ariyonne claims (3,6) that is the point of intersection of the lines y=4x-2 and y=1/2x+5 Is she correct? How do you know?

yan [13]

Answer:

The point of intersection of the lines is $(2,6)$ .

Thus, Ariyonne's claim is incorrect.

Step-by-step explanation:

Given equations:

1) $y=4x-2$

2) $y=\frac{1}{2}x+5$

To find the point of intersection, we need to solve the given system of equations.

In order to solve the system we will use substitution method.

We will substitute value of $y$ from first equation in the second equation and solve for $x$

So, we have

$4x-2=\frac{1}{2}x+5$

Multiplying both sides by 2 to remove fraction.

$2\times(4x-2)=2\times(\frac{1}{2}x+5)$

Using distribution.

$8x-4=x+10$

Subtracting both sides by $x$

$8x-4-x=x+10-x$

$7x-4=10$

Adding 4 to both sides.

$7x-4+4=10+4$

$7x=14$

Dividing both sides by 7.

$\frac{7x}{7}=\frac{14}{7}$

$x=2$

We can find value of $y$ by plugging in $x=2$ in the first equation.

$y=4(2)-2$

$y=8-2$

$y=6$

So, the point of intersection of the lines is $(2,6)$ .

Thus, Ariyonne's claim is incorrect.

3 0

3 years ago

Point A is located at (-5, -8). After it is translated, point A' is located at (-5, -5). What was the translation?

nadezda [96]

The answer is 3 units up

7 0

3 years ago

A ball is thrown upward at 4 feet per second starting 5 feet above the ground. How long does it take for the ball to return to t

Alekssandra [29.7K]

Answer:

1.25 seconds

Step-by-step explanation:

.25

.25

.25

.25

+.25=1.25 seconds

6 0

2 years ago

Solve this system of linear equations. Separate

attashe74 [19]

Answer:

$(-\frac{7}{13},\frac{79}{13})$

Step-by-step explanation:

Given:

Two equations are given.

$- 7x + 3y = 22$ ------(1)

$4x + 2y = 10$ ----------(2)

Solve equation 1 for y.

$- 7x + 3y = 22$

$3y = 22+7x$

$y=\frac{22+7x}{3}$ -----------(3)

Now, we substitute y value in equation 2.

$4x + 2(\frac{22+7x}{3}) = 10$

$\frac{12x + 2(22+7x)}{3} = 10$

$12x + 2(22+7x)=10\times 3$

$12x + 44+14x=30$

$26x=30-44$

$26x=-14$

$x=-\frac{14}{26}$

$x=-\frac{7}{13}$

Now, we substitute x value in equation 1.

$- 7(-\frac{7}{13}) + 3y = 22$

$\frac{7\times 7}{13} + 3y = 22$

$\frac{49}{13} + 3y = 22$

$3y = 22-\frac{49}{13}$

$3y = \frac{13\times 22-49}{13}$

$3y = \frac{286-49}{13}$

$y = \frac{237}{13\times 3}$

$y = \frac{237}{39}$

$y = \frac{79}{13}$

Therefore, the value of x and y is $(x=-\frac{7}{13},y = \frac{79}{13})$

7 0

4 years ago