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
Mila [183]
2 years ago
6

What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?

Mathematics
1 answer:
malfutka [58]2 years ago
4 0

Answer:

6.

Step-by-step explanation:

A line that goes through (x_{0},\, y_{0}) and (x_{1},\, y_{1}) where x_{0} \ne x_{1} would have a slope of m = (x_{1} - x_{0}) / (y_{1} - y_{0}).

The slope of the line that goes through (8,\, 4) and (-1,\, 1) would thus be:

\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}.

Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is (-1).

Thus, if m_{1} and m_{2} denote the slope of the first and second lines in this question, m_{1}\, m_{2} = (-1) since the two lines are perpendicular to one another. Since m_{2} = (1/3), the slope of the first line would be:

\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}.

Given that the first line goes through the point (1,\, 0), the point-slope equation of that line would be:

(y - 0) = (-3)\, (x - 1).

y = -3\, x + 3.

Substitute in x = (-1) to find the y-coordinate of the point in question:

y = -3\times  (-1) + 3 = 6.

You might be interested in
What is the length of DE
Valentin [98]

Answer:

5

Step-by-step explanation:

3 0
3 years ago
The running shoes Gina bought at a 20%-off sale were originally priced at $70. Before tax was added, how much money did Gina sav
il63 [147K]

gina saved $14

convert your percentage into a decimal: 20% converts to 0.20

then, just multiply 0.20 with 70. you should get 14.

8 0
3 years ago
Find x to the nearest hundredth place.
Arada [10]

Answer:

C.  24.27 cm

Step-by-step explanation:

sin 65° = opposite ÷ hypotenuse

sin 65° = 22/x

multiply both sides of the equation by x

(sin 65°)x = 22

divide both sides of the equation by sin 65°

x = 22 ÷ sin 65°

punch in 65 sin into your calculator

x = 22 ÷ 0.90631

x = 24.27 cm

7 0
3 years ago
Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29. Write an inequality to find the numbe
jeyben [28]
Since the question only asks for bagels, put the cream-cheese idea aside.
The total spent has to be less than $7 so an equation can be this: $0.75x<$7 where x is the number of bagels
3 0
3 years ago
Un olivar tiene 80 olivos. Sesenta de ellos dan, por término medio, 50 kg 4 hg 60 dag 5 g de aceitunas cada uno, y los otros vei
vlada-n [284]

Answer:

1330.808 euros

Step-by-step explanation:

Let's first calculate the total amount of kilograms,

for the first 60, we have to:

50 kg

4 hg = 0.5 kg

60 dag = 0.6

5 g = 0.005 kg

adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60

51.105 * 60 = 3066.3

now for the other 20:

53 kg

2 hg = 0.2 kg

16 dag = 0.16

5 g = 0.005

adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20

53,365 * 20 = 1067.3

in total it would be: 3066.3 + 1067.3 = 4133.6

they tell us that 1/5 is the quantity in liters:

4133.6 * 1/5 = 826.72 liters

so to calculate the earnings it would be:

2.65 * 826.72 - 860 = 1330.808

which means that in net earnings are 1330.808 euross

8 0
3 years ago
Other questions:
  • After simplifying, how many terms does the expression 4y-6+y2-9 contain?​
    10·2 answers
  • 2. Find the equation of the line that is perpendicular to the line y = -1/3 x - 5 and passes through the point (12, 0).
    9·1 answer
  • A straight rod has one end at the origin and the other end at the point (l,0) and a linear density given by λ=ax2, where a is a
    15·1 answer
  • Are all pyramids regular?
    12·1 answer
  • A leading medical journal claims that 68% of high school students experience anxiety just before an exam. A school counselor wan
    14·1 answer
  • Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl
    7·1 answer
  • Is 152 prime composite or neither
    6·1 answer
  • HELP! LOTS OF POINTS!
    12·2 answers
  • {{{{Help Please please}}}}
    13·1 answer
  • Gwenyth deposited money into her savings account that is compounded annually at an interest rate of 15%. Gwenyth thought the equ
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!