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3 years ago

Which is the Slope-Intercept form of an equation for the line containing the point (0,-3) with a slope of -1?

Mathematics

1 answer:

kotykmax [81]3 years ago

8 0

Answer:

y = -x - 3

Step-by-step explanation:

Slope(m) = -1

(0 , -3)

Equation: y - y1 = m(x -x1)

y - [-3] = -1(x - 0)

y + 3 = -1*x

y + 3 = -x

y = -x - 3

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What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,

Mamont248 [21]

Answer:

y=-5x+12

Step-by-step explanation:

just use a graphing calculator and basic knowledge of slope intercept form

7 0

3 years ago

Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area

zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be $(\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8$ cm² {from equation (1)}

Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)

8 0

3 years ago

Perform the indicated row operations

SVETLANKA909090 [29]

Answer:

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}$

Step-by-step explanation:

Given matrix is,

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}$

Operations performed,

-10R₂ → R₂

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}$

3R₃ → R₃

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}$

4 0

3 years ago

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k

koban [17]

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

7 0

2 years ago

Given the system of equations presented here: 2x + 4y = 14 4x + y = 20 Which of the following actions creates an equivalent syst

Anestetic [448]

A) 2x + 4y = 14
B) 4x + y = 20
If you multiply equation A by -2, then when the equations are added, the x will be eliminated.
The solutions are:
X = 4.714285714285714
Y = 1.1428571428571428

4 0

3 years ago

Read 2 more answers