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neonofarm [45]
3 years ago
13

Choose the graph below that correctly represents the equation 2x + 4y = 24.

Mathematics
2 answers:
serg [7]3 years ago
7 0

Answer:

Option 1 st is correct

Step-by-step explanation:

Given the equation:

2x+3y = 24        .....[1]

To graph this equation.

Find intercept for this equation:

x-intercept:

The line that crosses the x-axis.

Substitute y=0  in [1] and solve for x.

then;

2x+3(0) = 24

⇒2x = 24

Divide both sides by 2 we have;

x = 12

x-intercept = (12, 0)

y-intercept:

The line crosses the y-axis.

Substitute x = 0 in [1] and solve for y.

2(0)+3y = 24

⇒3y= 24

Divide both sides by 3 we have;

y = 8

y-intercept = (0, 8)

Using intercepts point:

we plot the given line 2x+3y = 24 as shown below.

IgorLugansk [536]3 years ago
3 0
1st graph is correct

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Please answer the question above.
kenny6666 [7]

Answer:

5.3!

Step-by-step explanation:

( in case you need work ) the angles are congruent so you set them equal to each other!

6x+12=9x-4

you then get 16=3x then divided its 5.3!

8 0
3 years ago
Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
The radius of a circle is 7 mm. What is the area.
Solnce55 [7]

Answer:

A= 153.94 mm

Step-by-step explanation:

A = πr²

A=π(7)²

A= 153.94 mm

7 0
2 years ago
Given f(x) = 2x – 3, find the x value such that f(x) = 8.
jok3333 [9.3K]

Answer: 5.5

Step-by-step explanation:

Plugging it into the formula, we get

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Add 3 to both sides:

2x = 11

Divide by 2 on both sides:

x = 5.5

4 0
3 years ago
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What is the measure of the missing angle?
Lostsunrise [7]
The three angles of a triangle should equal 180 so add 52+34 which equals 86.Then subtract 86 from 180 to get the third angles measure which is 94 so the answer is 94.
3 0
3 years ago
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