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AleksandrR [38]
3 years ago
7

The equation of a line is 5x − 3y = 6. Which is the y-intercept of the line?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
7 0

Answer:

y - intercept. = 2.

Step-by-step explanation:

Given  : The equation of a line is 5x − 3y = 6.

To find : Which is the y-intercept of the line.

Solution : We have given  5x − 3y = 6.

Equation of line y = mx +b

Where , m = slope , y intercept = b

Now we convert the  5x − 3y = 6 in line form y = mx +b

5x − 3y = 6

On subtracting both sides by 5x

-3x = - 5x + 6

On dividing both sides by - 3.

x = \frac{5x}{3}+2.

We cans see m = \frac{5}{3} , y - intercept. = 2.

Therefore, y - intercept. = 2.

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Please find which quadratic equation matches the graph with work attached
lesya [120]

Answer:

C

Step-by-step explanation:

Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B

Next we can use the equation x=\frac{-b}{2a} that is used in order to find the vertex of the parabola.

A)

f(x)=-x^2+6x+7\\a=-1,b=6,c=7\\\\x=\frac{-6}{-2} \\x=3

As the vertex is at x=3 on the graph, this one could be a contender.

C)

f(x)=-x^2+6x-7\\a=-1,b=6, c=-7\\\\x=\frac{-6}{-2} \\\\x=3

This also could be the equation

D)

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This rules option D out.

For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)

A)

f(x)=-(x^2-6x-7)

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.

This means that option A can be ruled out

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f(x)=-(x^2-6x+7)

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.

7 0
3 years ago
Does someone mind helping me with this problem? Thank you!
Jet001 [13]

Answer:

875 ft²

Step-by-step explanation:

Finding area of similar rectangles:

Scale factor = EF : AB

                    = 25 : 5

                    = 5 : 1

\sf \dfrac{Area \ of \ bigger \ rectangle}{Area \ of \ smaller \ rectangle}= (Scale \ factor)^2

\dfrac{Area \ of \ bigger \  rectangle}{35} =\left(\dfrac{5}{1}\right)^2

\text{Area of bigger rectangle = $\dfrac{25}{1}*35$}

Area or rectangle EFGH = 875 ft²

4 0
2 years ago
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