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
professor190 [17]
2 years ago
6

A

Mathematics
2 answers:
insens350 [35]2 years ago
8 0

To start, the equation has to be converted to slope-intercept form, or y=mx+b. Start by subtracting x from both sides; x-x+2y=4, 2y=4-x. Switch 4 and -x around to conform to the formula; 2y=-x+4. Then divide by 2 to isolate y; y=-\frac{1}{2}x+2. This is the final equation. Because the slope of a line perpendicular is always the opposite reciprocal (i.e. The opposite reciprocal of 4 is -\frac{1}{4}, the opposite reciprocal of -\frac{1}{5} is 5) the opposite reciprocal of -\frac{1}{2}  is 2. So the equation of the line is y=2x, and the answer is A.

Sindrei [870]2 years ago
5 0

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 2y = 4 ( subtract x from both sides )

2y = - x + 4 ( divide terms by 2 )

y = - \frac{1}{2} x + 2 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2

You might be interested in
Manuel created a factor tree and wrote the prime factorization of 60 shown below.
nata0808 [166]
"Manuel" here put the arrow in the wrong place. Should be under 15, not 4. PLUS, 4 is not prime, cuz 2 goes into it...
3 0
2 years ago
Read 2 more answers
Help me with this question, please!
AURORKA [14]

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

8 0
3 years ago
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number?
stellarik [79]
4-7= -3
-3x3= -9
answer is C
8 0
3 years ago
NO LINKS!!! Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)​
levacccp [35]

General equation of parabola

  • y=a(x-h)²+k

for vertex(h,k)

Now

\\ \rm\Rrightarrow y=a(x+2)^2+6

  • Put (1,-3) and find a

\\ \rm\Rrightarrow -3=a(1+2)^2+6

\\ \rm\Rrightarrow -9=a(3)^2

\\ \rm\Rrightarrow -9=9a

\\ \rm\Rrightarrow a=-1

So

equation of parabola

\\ \rm\Rrightarrow y=-(x+2)^2+6

7 0
2 years ago
Read 2 more answers
Which of the following statements are true regarding functions?<br><br> Check all that apply.
Alex

Answer:

The horizontal line test may be used to determine whether a function is one-to-one.
The vertical line test may be used to determine whether a relation is a function.

Step-by-step explanation:

3 0
1 year ago
Other questions:
  • PLZZ HELP ME WILL GIVE BRAINLIEST ( write in exponential form) 26*26^8
    10·1 answer
  • Find the nonpermissible replacement for a in -3/4a
    15·1 answer
  • Solve the following equation-<br> p-4=(-9)+p
    15·1 answer
  • the nth term of the sequence 2,0,-2,-4,-6... is 4 times the nth term of the sequence -22,-20,-18,-16,-14... work out the value o
    13·1 answer
  • 5.1x = 1.02<br> Find what x is equal to make this equation true
    13·1 answer
  • Describe the end behavior of F(x) = x^2 + 4x +3
    10·1 answer
  • 40 percent of what is 34?
    5·2 answers
  • What is 28% as a fraction or mixed number in simplest form
    12·2 answers
  • What is your wire value in the X value is five? 18.6, 16.6, 17.6, 19.6
    8·2 answers
  • Please help will give 5 star, thanks, brainliest.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!