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2 years ago

Find the equation of a line that passes through the point (4,15) and is perpendicular to the equation below.

1 answer:

8 0

The answer is D because to find the slope of a line that is perpendicular to another, you have to find the opposite reciprocal. so here the slope would be -1/4. now, take that slope and put it into an equation. like the following:
$y = \frac{ - 1}{4} x + b$
now to find b you must insert the points into the equation (plug in 4 for x, and 15 for y).
$15 = \frac{ - 1}{4} (4) + b$
b then equals 16. so, the answer is D.

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Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?

raketka [301]

Answer:

45 girls

Step-by-step explanation:

Remark
There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
But we are told that the boys are 30 in number.
Let x = the total number of students.

Solution

40/100 * x = 30 Change the % to a decimal
0.4 x = 30 Divide both sides by 0.4
0.4 x / 0.4 = 30 / 0.4 Do the division
x = 30/0.4
x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

Total = 75
Number of boys = 30

Solution II

75 = x + 30 Subtract 30 from each side
75 - 30 = x +30 - 30
45 = x
There are 45 girls in the class.

5 0

2 years ago

A student selected from a class will be either a boy or a girl. if the probability that a boy will be selected is 0.3, what is t

Otrada [13]

The probability that a girl will be selected from the class is 0.7

8 0

2 years ago

Prove that 1/sec0-tan0= sec0+tan0

Leviafan [203]

Answer:

Step-by-step explanation:

$\text{LHS}=\frac{1}{\sec \theta-\tan \theta}\\=\frac{\sec \theta+\tan \theta}{(\sec \theta-\tan \theta)(\sec \theta+\tan \theta)}\\=\frac{\sec \theta+\tan \theta}{\sec^{2} \theta-\tan^{2} \theta}\\=\frac{\sec \theta+\tan \theta}{1}\\=\sec \theta+\tan \theta\\=\text{RHS}$

7 0

1 year ago

It usually took josh 2/5 of an hour to ride his bike to work. But on Monday, his bike was broken, so he took the bus to work whi

Snezhnost [94]

Answer: taking the bus to work takes 13 minutes longer.

Step-by-step explanation:

It usually took josh 2/5 of an hour to ride his bike to work. This means that the number of hours that it took Josh to ride his bike to work is

2/5 × 60 = 24 minutes

But on Monday, his bike was broken, so he took the bus to work which took 5/8 of an hour. This means that the amount of time that it took Josh spent on the bus to work is

5/8 × 60 = 37.5 minutes

The difference between the time spent riding the bike and time spent on the bus is

37.5 - 24 = 13 minutes

4 0

2 years ago

John playing with his friends a game where you need to get 20 points to win. In the start of the game John lose 10 points and th

zloy xaker [14]

Answer:

Step-by-step explanation:

0 - 10 = -10

-10 + 12 = 2

John has 2 points

3 0

2 years ago