All categories

2 years ago

Find the equation of the line that passes through (3,1) and is parallel to y = 2x + 1.

Mathematics

1 answer:

Irina18 [472]2 years ago

3 0

Answer:

y=2x-5

Step-by-step explanation:

first because if a linear equation is graphed to be perpendicular has to have the same slop y=2x which is equivalent to going up two over one on agrao from the +1 point to pass through (3,1) start at the point (3,1) go down two over until you find the y intercept which in this is -5 five so y=2x-5 is the answer.

You might be interested in

Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your

Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

= -9/4

= -2.25

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0

2 years ago

Which real-world scenario involves a right triangle?

Natali [406]

Answer:

A triangular bike path with lengths of 5 miles, 12 miles, and 13 miles

Step-by-step explanation:

The 5-12-13 right triangle is a common pythagorean triple. :)

5 0

3 years ago

Read 2 more answers

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p

k0ka [10]

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

We need to find the profit percentage.

Solution,

We know that,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

$\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%$

So, the profit percentage is 33.34%.

7 0

2 years ago

OB is the bisector of AD and EC. . EO = 2x – 20 and OC = 70 – x. Solve for x.

mixas84 [53]

We know that OB bisects EC where they intersect would be at point O,
so the two lengths EO and OC must be equal.

2x - 20 = 70 - x

[adding x + 20 to each side]

2x - 20 + x + 20 = 70 - x + x + 20

[simplifying]

3x = 90

[dividing each side by 3]

x = 30 would be the answer

4 0

3 years ago

Elenas aunt bought her a $150 savings bond when she was born.When elena is 20 years old,yhe bond will have earned 105% in intere

steposvetlana [31]

Answer:

$307.5.

Step-by-step explanation:

We have been given that Elena's aunt bought her a $150 savings bond when she was born.When Elena is 20 years old, the bond will have earned 105% in interest.

To find bond's value after 20 years we will add 105% of 150 to 150.

$\text{Bond's value after 20 years}=150+(\frac{105}{100}\times 150)$

$\text{Bond's value after 20 years}=150+(1.05\times 150)$

$\text{Bond's value after 20 years}=150+157.5$

$\text{Bond's value after 20 years}=307.5$

Therefore, the bond will be worth $307.5, when Elena will be 20 years old.

3 0

3 years ago