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emmainna [20.7K]
3 years ago
12

Which of the lines graphed has a slope of -1/2 and a y-intercept of 3?

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
8 0

Answer:

The answer is image 3.

Step-by-step explanation:

The equation for the line will be y = (-1/2)x + 3 so the gradient is negative and you will have to find the x-intercept and y-intercept.

x-intercept :

let \: y = 0

0 =   - \frac{1}{2} x + 3

\frac{1}{2} x = 3

x = 3 \div  \frac{1}{2}

x = 6

y-intercept :

let \: x = 0

y =  -  \frac{1}{2} (0) + 3

y = 3

Elodia [21]3 years ago
8 0

Answerc

Step-by-step explanation:

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3 0
3 years ago
What is the answer to this and how do I do this problem?
DaniilM [7]

Answer:

  B) 25.1 units

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:

  BC = 5 -(-2) = 7

The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.

  AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)

  AB = √100 = 10

__

  AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)

  AC = √65 ≈ 8.06

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So, the perimeter is ...

  P = AB +BC +AC

  P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B

5 0
3 years ago
Estimate 64,505+38,972
musickatia [10]
64,500+38,970, I think.
7 0
3 years ago
Read 2 more answers
Can someone please help with this trig question?
atroni [7]
First we must understand how to write a logarithmic function:

log_{b}a=x

In the equation above, b is the base, x is the exponent, and a is the answer. These same variables can be rearranged to be expressed as an exponential equation as followed:

b^x=a

Next, we need to understand basic logarithm rules.

1. When a value is raised to a power, we can move the exponent to the front of the logarithm. Example:

log(a^2) = 2log(a)

2. When two variables are multiplied together, we can add the logarithms of the individual variables together. Example:

log(ab) = log(a) + log(b)

3. When a variable is divided by another variable, we can subtract the logarithms of the individual variables. Example:

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Now we can use these rules to solve the problem.

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We can rewrite the cube root as:

log(r) = log( (\frac{A^2B}{C})^ \frac{1}{3} )

Now we can move  the one-third to the front:

log(r) =  \frac{1}{3} log( \frac{A^2B}{C} )

Now we can split up the logarithm:

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Finally, we can move the exponent to the front of the log of A:

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Distribute the one-third to get the answer:

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The answer is (4).


3 0
3 years ago
40x + 60 = 20. what does x equal?
Elena-2011 [213]

Subtract 60 on both sides to get -40.

You are left with 40x=-40

Divide both sides by 40 to leave x by itself.

You get x=-1.

7 0
3 years ago
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