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3 years ago

Write an equation of the line that is perpendicular to y = 1/2

Mathematics

1 answer:

atroni [7]3 years ago

6 0

Answer:

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

= -5 = -2x + 15

Step-by-step explanation:

Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).

Using the slope intercept equation,

y = mx +c

m = slope = 1/2

For two lines to be perpendicular, the product of their slopes is -1

Let the slope of the other line be m2

m1×m2 =-1

1/2×m2 = -1

m2 = -1/(1/2) = -2

Slope of line = -2

For points (10, -5), x = 10, y =-5

-5 = -2× 10 +c

-5 = -20+ c

c = -5+20= 15

the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)

-5 = -2x + 15

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Find the nth term of a gp with (a. find term = 5, common ratio = 2

Rina8888 [55]

Step-by-step explanation:

we know,

$tn= a {(r)}^{n - 1} \\ T5 = a {(2)}^{5 - 1} \\ t5 = a \times {2}^{4} \\ = 16a$

Therefore, nth term of a given gp is

16a

7 0

3 years ago

Jane has $5 more than three times as much money as Lonnie has.Bob has $1 less than four times as much money as Lonnie has. All t

kkurt [141]

Starting equation:
92=J+L+B

To find how much money Jane has, we use the equation:
J=5+3L
To find how much money Bob has, we use the equation:
B=4L-1

Enter those equations in the problem

92=(5+3L)+L+(4L-1)
Combine like terms
92=4+8L
Subtract 4 to isolate variable
88=8L
Divide by 8 to isolate variable
11=L

Answer:
Lonnie has $11
Jane has $38
Bob has $43

side note: Lonnie is that one poor friend we all have

5 0

3 years ago

If 20% of a school was made up of out-of-district students last year, but the number of out-of-district students increased by 50

Nadya [2.5K]

Answer:

<h2>30% is enrolled out-of-district.</h2>

Step-by-step explanation:

According to the word problem, the number is increased by 50%.

To increase a number by a percent, multiply the number and the percent.

We can do this by changing both percents to decimals.

To change a percent to a decimal, divide it by 100.

$20/100 = 0.2$

$50/100=0.5$

The number is INCREASED by 50% so 0.5 would become 1.5.

$0.2 * 1.5=0.3$

4 0

3 years ago

The label on a can of lemonade gives the volume of 12 fl oz. or 355 mL. Verify that these two measurements are nearly equivalent

babymother [125]

The label on a can of lemonade gives the volume as 12 fl oz , or 355 ml .verify that these two measurements are nearly equivalent

5 0

3 years ago

The estimated velocity v (in miles per hour) of a car at the end of a drag race is v=234 3√p/w (cube root) , where p is the hors

faltersainse [42]

Given that <span>v=234 3√p/w (cube root)
where </span><span>
p is the horsepower of the car and
w is the weight (in pounds) of the car
v is the velocity in miles per hour

p = 1311 hp
w = 2744 lb
substitute the given value to the equation to solve for the velocity

v = 234 </span><span>3√(1311 / 2744)
v = 183 miles per hour is the velocity of a car at the end of a drag race.</span>

4 0

3 years ago