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3 years ago

Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).

Mathematics

2 answers:

sweet [91]3 years ago

4 0

Answer:

y= 1/2x + 0.5

Step-by-step explanation:

plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P

STALIN [3.7K]3 years ago

3 0

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

y = 1/2x + b [Parallel lines have the same slope but different y-intercepts]

-2 = (1/2)(-5) + b [Plug in the coordinates (-5,-2) to find the y-intercept b]

b = 1/2 [Solve for b]

y = 1/2x + 1/2

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Find the greatest common factor of 21 and 33

lions [1.4K]

Answer:

As you can see when you list out the factors of each number, 3 is the greatest number that 21 and 33 divides into.

Step-by-step explanation:

As you can see when you list out the factors of each number, 3 is the greatest number that 21 and 33 divides into.

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2 years ago

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What is the greatest common factor of y^2 and y^3?

EastWind [94]

The answer is 1. hope this helps

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3 years ago

What is 2x - 5 =7 please help me I need it in 10 mins

goldenfox [79]

2x - 5 = 7
2x = 7 + 5
2x = 12
2x/2 = 12/2
x = 6

to check:
2x - 5 = 7
2(6) - 5 = 7
12 - 5 = 7
7 = 7

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3 years ago

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The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 24m. The length of the alley

allsm [11]

ANSWER

Length of the playing alley = 9m

Width of the playing alley = 3m

STEP-BY-STEP EXPLANATION:

Given information

<em>The perimeter of a rectangular playing alley = 24 m</em>

<em>The length of the alley is three times the width</em>

Let l represents the length of the alley

Let w represents the width of the alley

Step 1: Write the formula for calculating the perimeter of a rectangle

$\text{Perimeter of a rectangle = 2(l + w)}$

Where l is the length and w is the width of the rectangle

Recall, length = 3 times the width of the alley

Mathematically,

$\begin{gathered} l\text{ = 3 }\times\text{ w} \\ l\text{ = 3w} \end{gathered}$

Step 2: Substitute the value of l = 3w into the above formula

$\begin{gathered} P\text{ = 2(l + w)} \\ p\text{ = 24m} \\ l\text{ = 3w} \\ 24\text{ = 2(3w + w)} \end{gathered}$

Step 3: Solve for w

$\begin{gathered} 24\text{ = 2(4w)} \\ 24\text{ = 8w} \\ \text{Divide both sides by 8} \\ \frac{24}{8}\text{ = }\frac{8w}{8} \\ w\text{ = 3 m} \end{gathered}$

From the calculations above, you will see that the width of the playing alley is 3m

Step 4: Solve for l

$\begin{gathered} \text{Recall, l = 3w} \\ w\text{ = 3} \\ l\text{ = 3 }\times3 \\ l\text{ = 9m} \end{gathered}$

Hence, the length of the playing alley is 9m

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1 year ago

Which equations are true for the values of x, y, and z? Select three options.

OLEGan [10]

Answer:

A) x degrees + 65 degrees = 180 degrees

B) x degrees = z degrees

C) y degrees = 65 degrees

Step-by-step explanation:

Refer the attached figure

So, $\angle AOB = \angle COD (\text{Vertically opposite angles})$

$\angle AOB = 65^{\circ}$

$\angle COD = y$

So, $y=65^{\circ}$

$\angle AOB + \angle BOC = 180^{\circ} (\text{Linear pair})$

$\angle AOB = 65^{\circ}$

$\angle BOC = x$

So, $x+65^{\circ}=180^{\circ}$

$\angle BOC = \angle AOD (\text{Vertically opposite angles})$

So, x = z

So, Option A ,B and C are true for the values of x, y, and z

3 0

3 years ago

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