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2 years ago

Which equation is in slop-intercept form?

Mathematics

2 answers:

Goshia [24]2 years ago

7 0

Answer:

$\boxed {\boxed {\sf y=3x+12}}$

Step-by-step explanation:

The slope-intercept form of an equation is:

$y=mx+b$

where m is the slope and b is the y-intercept.

Let's evaluate each answer choice. The one in slope-intercept form will have the y variable isolated on one side of the equation.

A. 2x+3y=21: This is not is slope-intercept form. The y is not isolated.
B. y-7=3(x+4): Again, this isn't slope-intercept form. A 7 is being subtracted from y
C. y²=3x²-6: This also isn't correct. y is being squared.
D. y=3x+12: This choice is correct. The y is all alone on the left side of the equation.

The equation in slope-intercept form is D. y=3x+12

frosja888 [35]2 years ago

6 0

Step-by-step explanation:

Only D, y = 3x + 12 is in slope-intercept form.

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the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 i

Marat540 [252]

Answer:

2025 is the answer

Step-by-step explanation:

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2 years ago

Find the slope of the line graphed below.

Dima020 [189]

Answer:

y=1.5x-8

Step-by-step explanation:

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2 years ago

What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area

liq [111]

Answer:

Area of given figure = 96 unit²

Step-by-step explanation:

Given:

Length of shape = 4 unit

Width of shape = 4 unit

Height of shape = 4 unit

Find:

Area of given figure

Computation:

All side of figure all equal

So,

Given figure is a cube

Number of faces of cube = 6

Area of base = side x side

Area of base = 4 x 4

Area of base = 16 unit²

Area of given figure = Area of base x Number of faces of cube

Area of given figure = 16 x 6

Area of given figure = 96 unit²

8 0

2 years ago

Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 m

AVprozaik [17]

Answer:

7.5

Step-by-step explanation:

The relation between time, speed, and distance is ...

time = distance/speed

If distance is "1 round trip", then the time going is ...

going = 0.5/(10 mi/h) . . . . for 1/2 round trip

and the time coming is ...

coming = 0.5/(6 mi/h)

Then the average speed for the full round trip is ...

speed = distance/time

average speed = 1/(going + coming) = 1/(0.5/10 +0.5/6) mi/h

= 1/((3+5)/60) mi/h

= 60/8 mi/h = 7.5 mi/h

Jack's average speed for the round trip was 7.5 mph.

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2 years ago

When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither nu

o-na [289]

The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:

x + y = 3 and 2x + 2y = 6
Determinant of the equations are 
| 1 1 | 
| 2 2 | = 0

the numerator determinants would be
| 3 1 | . .| 1 3 | 
| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. For instance (3, 0), (2, 1) and (4, -1). Therefore, it would have infinitely many solutions.

3 0

2 years ago