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
defon
3 years ago
6

Determine if 2x = 14 + y and 4x + 2y = 10 are parallel, perpendicular, or neither.

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Answer:

Neither

Step-by-step explanation:

To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form

(y = slope * x + y-intercept)

2x = 14 + y

-14          -14

2x - 14 = y    OR     y = 2x - 14

*So the slope of the first equation is 2*

4x + 2y = 10

-4x           -4x

2y = -4x + 10

/2          /2

y = -4/2 + 10

*So the slope is -2*

For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)

You might be interested in
Find the volume of the figure. Round to the nearest hundredth if needed.
sergij07 [2.7K]

Answer:

4,914 i think, when rounding it, it will be 4,920

4 0
3 years ago
How many times greater is 7 x 10^6 than 4.5 x 10^-1
kipiarov [429]

Let us assume that : 7 × 10⁶ is P times Greater than 4.5 × 10⁻¹

It means when we Multiply P with 4.5 × 10⁻¹, We should get 7 × 10⁶

⇒ (P × 4.5 × 10⁻¹) = 7 × 10⁶

\mathsf{\implies P = (\dfrac{7 \times 10^6}{4.5 \times 10^-^1})}

\mathsf{\implies P = 1.56 \times 10^7}

⇒ 7 × 10⁶ is 1.56 × 10⁷ times Greater than 4.5 × 10⁻¹

4 0
3 years ago
Which is the equation in slope-intercept form for the line that passes through (3, 7)
quester [9]

Answer:

y =  -  \frac{5}{3} x + 12

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

y =  \frac{3}{5} x -  \frac{8}{5}

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= -  \frac{5}{3}

y =  -  \frac{5}{3} x + c

To find the value of c, substitute a coordinate.

When x=3, y=7,

7 =  -  \frac{5}{3} (3) + c

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is y =  -  \frac{5}{3} x + 12.

6 0
3 years ago
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms.
Ira Lisetskai [31]

Answer:

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Step-by-step explanation:

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight =

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

8 0
2 years ago
Read 2 more answers
Justin‘s gas tank is 3/10 full after he buys 14 gallons of gas it is 4/5 full how many gallons can Justin‘s tank hold
dangina [55]

Answer:
I can help, its 45

6 0
2 years ago
Other questions:
  • Which is equivalent to , and what type of special product is it?
    9·1 answer
  • A radiator contains 8 quarts of fluid, 40% of which is antifreeze. How much fluid should be drained and replaced with pure antif
    7·1 answer
  • Assume that a cross is made between a heterozygous tall pea plant and a homozygous short pea plant. Fifty offspring are produced
    5·1 answer
  • A group of students takes a test and the average score is 72. One more student takes the test and receives a score of 88 increas
    12·1 answer
  • Solve for x. 2/x =2/6
    12·1 answer
  • Which if the following is true for f(x)= 3x+14 and its inverse?
    9·2 answers
  • Can y’all help me on question 8?!
    13·2 answers
  • Find an equivalent ratio for the ratio 6 to 7.<br><br> 42<br> 53<br> 13<br> 14<br> 54<br> 36<br> 49
    12·1 answer
  • The diameter of a circle has endpoints (2,-6) and (-4,-16).
    8·1 answer
  • Suppose a fair coin is tossed and the spinner below is spun one time. What is the probability of flipping heads and spinning a n
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!