1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nadusha1986 [10]
3 years ago
9

Given the equation-4x+2y=-2 what is the slope of a line parallel to the line?

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

Answer:

The equation of the perpendicular line would be y = -1/2x - 1

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

-4x + 2y = 2

2y = 4x + 2

y = 2x + 1

This shows us a slope of 2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 2 to get -2 and then we flip it to get -1/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y + 2 = -1/2(x - 2)

y + 2 = -1/2x + 1

y = -1/2x - 1


You might be interested in
Consider the function f(x)=4x-5. what is the domain value that corresponds to an output of f(x)=11?
erastovalidia [21]
F = 4

if f(x)=11, you must always try and get x alone, so f = (11+5)/4, and this simplifies to 4.
8 0
3 years ago
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh
Stella [2.4K]

A parabola is a mirror-symmetrical U-shape.

  • The equation of the parabola is \mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}
  • The focus is \mathbf{Focus = (80, -1760)}
  • The directrix is \mathbf{y = \frac{1}{640}}
  • The axis of the symmetry of parabola is: \mathbf{x = 80}

From the question, we have:

\mathbf{Vertex: (h,k) = (80,10)}

\mathbf{Origin: (x,y) = (0,0)}

The equation of a parabola is:

\mathbf{y = a(x - h)^2 + k}

Substitute the values of origin and vertex in \mathbf{y = a(x - h)^2 + k}

\mathbf{0 = a(0 - 80)^2 + 10}

\mathbf{0 = a(- 80)^2 + 10}

\mathbf{0 = 6400a + 10}

Collect like terms

\mathbf{6400a =- 10}

Solve for a

\mathbf{a =- \frac{1}{640}}

Substitute the values of a and the vertex in \mathbf{y = a(x - h)^2 + k}

\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}

The focus of a parabola is:

\mathbf{Focus = (h, \frac{k+1}{4a})}

Substitute the values of a and the vertex in \mathbf{Focus = (h, \frac{k+1}{4a})}

\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}

\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}

\mathbf{Focus = (80, -11\times 160)}

\mathbf{Focus = (80, -1760)}

The equation of the directrix is:

\mathbf{y = -a}

So, we have:

\mathbf{y = \frac{1}{640}} ----- the directrix

The axis of symmetry is:

\mathbf{x = -\frac{b}{2a}}

We have:

\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}

Expand

\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}

Expand

\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}

\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }

A quadratic function is represented as:

\mathbf{y = ax^2 + bx + c}

So, we have:

\mathbf{a = -\frac{1}{640}}

\mathbf{b = \frac{1}{4}}

Recall that:

\mathbf{x = -\frac{b}{2a}}

So, we have:

\mathbf{x = -\frac{1/4}{2 \times -1/640}}

\mathbf{x = \frac{1/4}{1/320}}

This gives

\mathbf{x = \frac{320}{4}}

\mathbf{x = 80}

Hence, the axis of the symmetry of parabola is: \mathbf{x = 80}

Read more about parabola at:

brainly.com/question/21685473

6 0
3 years ago
Amber got a raise, and her hourly wage increased from $8 to $9.50 what is the percent increase
I am Lyosha [343]

Answer:

The percent increase is <u>18.75%</u>.

Step-by-step explanation:

Given:

Amber got a raise, and her hourly wage increased from $8 to $9.50.

Now, to find percent increase.

Previous wage = $8.

Wage raised = $9.50.

So, to get the increased wage we subtract the previous wage from the wage raised:

\$9.50-\$8=\$1.50.

Now, to get the percent increase:

\frac{1.50}{8} \times 100

=\frac{150}{8}

=18.75\%.

Therefore, the percent increase is 18.75%.

8 0
3 years ago
A new skateboard cost $150. You have a 30% off coupon how much money did you save with your coupon?
insens350 [35]
150 x .30 = 45

You saved $45 if you use the coupon for the skateboard
5 0
3 years ago
If the arc length of a sector in the unit circle is 4.2, what is the measure of the angle of the sector?
iren [92.7K]
Bear in mind the Unit Circle is called so, because its radius is exactly 1, thus just 1 unit, the Unit Circle

anyway    \bf \theta=\cfrac{180s}{\pi r}\qquad &#10;\begin{cases}&#10;\theta=\textit{central angle in degrees}\\&#10;r=radius\\&#10;s=\textit{length of the arc}\\&#10;----------\\&#10;s=4.2\\&#10;r=1&#10;\end{cases}\implies \theta=\cfrac{180\cdot 4.2}{1\cdot \pi }
4 0
3 years ago
Other questions:
  • Shelly can cut a lawn with a riding mower in 2 hours less time than it takes William to cut the lawn with a push mower. if they
    6·1 answer
  • If three equal subdivisions of [-4, 2] are used, find the trapezoidal approximation of integral of (e^(-x))/2 dx from -4 to 2.
    11·1 answer
  • 1. is the number written in scientific notation? if not, explain. 4.8 x 100^7 a) no; it is not written as a number times a power
    9·1 answer
  • Radhika borrowed Rs.12000 from her friends. Out of which Rs.4000 were borrowed at 18% and the remaining at 15% rate of interest
    15·1 answer
  • A 10-sided die numbered 1 to 10 is rolled once. Find these probabilities.
    6·2 answers
  • Please help! thank you ​
    13·1 answer
  • My cousin is using my account to do this
    5·2 answers
  • Having trouble solving this:
    7·2 answers
  • What is the value of n in the equation below 9n-24=4n+6
    10·2 answers
  • If t=100, find 2t + 1
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!