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2 years ago

What is the slope of the line 2y+x=-3

1 answer:

6 0

Hey there,

Ok so we need to put this into slope-intercept form so we can find the slope eaisly, (y=mx+b)

If we move x to the right side we are left with,
2y=-x-3
Next we divide by 2 to free up the y,

y=-1/2x-3/2, this is now in y=mx+b form. Making the slope -1/2

Hope this helped!

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Need help with Algebra 2! Thank you! :)

Olin [163]

Answer:

Consider the parent logarithm function f(x) = log(x)

Now,

Let us make transformations in the function f(x) to get the function g(x)

•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.

•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)

Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is

g(x) = 3 log(x/2) (Option-B).

7 0

2 years ago

In a circle with a radius of 27 2/5 in., an arc is intercepted by a central angle of 7π/4 radians.

VikaD [51]

Arc Length = radius * Angle in radians
Arc Length = 27.4 * 5.4977871438 
Arc Length = 150.6393677396 inches

Source:
http://www.1728.org/radians.htm

5 0

3 years ago

Read 2 more answers

At an important meet, Allyson won the women's 100 meters in 12.24 seconds. Find her average rate.

otez555 [7]

The rate is 8.17 meters per second

Further explanation:

In order to find the rate we have to divide the distance covered by the woman by the time she covered it in.

Given

$Distance=d=100\ meters\\Time=t=12.24\ sec\\So,\\Rate=\frac{d}{t}\\=\frac{100}{12.24}\\=8.17\ ms^{-1}$

The rate is 8.17 meters per second

Keywords: Speed, distance

Learn more about speed at:

#LearnwithBrainly

6 0

3 years ago

Just number 3 is fine please but if you could also 4

PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

2(-5r + 2) = 84

Step 2: Solve for r

Divide 2 on both sides: -5r + 2 = 42
Subtract 2 on both sides: -5r = 40
Divide -5 on both sides: r = -8

Step 3: Check

Plug in r into the original equation to verify it's a solution.

Substitute in r: 2(-5(-8) + 2) = 84
Multiply: 2(40 + 2) = 84
Add: 2(42) = 84
Multiply: 84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

Step 4: Define equation

264 = -8(-8 + 5x)

Step 5: Solve for x

Divide both sides by -8: -33 = -8 + 5x
Add 8 to both sides: -25 = 5x
Divide 5 on both sides: -5 = x
Rewrite: x = -5

Step 6: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 264 = -8(-8 + 5(-5))
Multiply: 264 = -8(-8 - 25)
Subtract: 264 = -8(-33)
Multiply: 264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0

2 years ago

Probability Question

pav-90 [236]

To find the probability that A occurs given B occurs, multiply the Probability of A by the probability of B.

3/4 x 5/8 = 15/32

6 0

3 years ago