Line fg goes through the points (4,9) and (1,3) which represents a line that is perpendicullar to fg and passes through the point (2,0)
Answer:c
Step-by-step explanation:
The equation of the perpendicular line is [tex]y = -\frac 12x + 1[/tex]
The points are given as:
[tex]F = (4,9)[/tex]
[tex]G = (1,3)[/tex]
Start by calculating the slope (m) of line FG as follows:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
Substitute values for x's and y's.
So, we have:
[tex]m = \frac{9 -3}{4 - 1}[/tex]
[tex]m = \frac{6}{3}[/tex]
[tex]m =2[/tex]
The equation of the line is said to be perpendicular to line FG.
So, the slope of the line is:
[tex]m_2 = -\frac 1m[/tex]
This is then calculated as:
[tex]m_2 = -\frac 12[/tex]
The line is said to pass through point (2,0).
So, the equation of the line is:
[tex]y = m_2(x - x_1) +y_1[/tex]
This gives
[tex]y = -\frac 12(x - 2) +0[/tex]
Expand
[tex]y = -\frac 12x + 1 +0[/tex]
[tex]y = -\frac 12x + 1[/tex]
Hence, the equation of the line is [tex]y = -\frac 12x + 1[/tex]
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Helppppppppp quickkkkkkk
Answer:
False
Step-by-step explanation:
Solve for x
0.5x + 78.2 = 287
Answer:
x = 417.6
287 = 78.2 + .5x
208.8 = .5x
x = 417.6
Hope this helps
Answer:
0.5x + 78.2 = 287
0.5x = 287 - 78.2
0.5x = 208.8
0.5x ÷ 0.5 = 208.8 ÷ 0.5
x = 417.6
Write the portion represented in this picture as a fraction.
Answer:
1/8
Step-by-step explanation:
What is the sign of the product (3)(−25)(7)(−24)? (5 points) Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Answer:
i actually dont know im sorry
solve this dont post irrelavent answers
Answer:
a=3
Step-by-step explanation:
p(x)=x^2-x-6 and f(x)=x^2+3x-18
they have a common factor x=a
so, when they are devided by x-a leave 0 as the remainder ( by remainder theorem)
p(a) =0
f(a)=0
SO, p(a) =f(a)
a^2-a-6=a^2+3a-18
a^2-a^-a-3a= -18+6
-4a= - 12
a=3
(02.01 LC)
What is the solution for the equation 6x - 8 = 4x? x = _. (Input whole number only).
Answer:
4
Step-by-step explanation:
start by subtracting 6x from 4x. that is -2x. then you have -8=-2x. divide the -2 out of the -2x from the -8. then you have 4=x
Solve for x round your answer to the nearest 10th
Answer:
x = 13 / sin(55)
Step-by-step explanation:
sin(x)= opposite / hypotenuse
sin(55) = 13 / x
rearrange equation for x and solve
A pair of perpendicular lines intersect at the point (5,9). Write
the equation of the line that is perpendicular to the line that
also passes through the point (-4,4)
Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
Which model represents the equation below? Negative 4 x + (negative 2) = 3 x + (negative 5) 3 x tiles, 1 negative x tile, and 2 negative 1 tiles = 3 x tiles, 3 positive 1 tiles, and 2 negative 1 tiles 4 x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 negative 1 tiles 4 negative x tiles and 2 negative 1 tiles = 3 x tiles and 5 positive 1 tiles Mark this and return
Answer:
-4 x + (-2) = 3 x + (-5) 3 x tiles
Hope this Helps!
Answer:
b
Step-by-step explanation:
Took test and ijm smartish lol edge
17y + 31 = 167
solve for y
Answer:
Y=8
Step-by-step explanation:
12 divided by 3/ 4 !
Answer:
16
Step-by-step explanation:
In the worst storm in Sunnyville history, 6 inches of rain fell in 8 hours. What was the amount of rainfall per hour?
Answer:
0.75 cm of rain per hour
Step-by-step explanation:
I know if the cm part made sense but okay
Answer:
0.75 cm of rain per hour
Step-by-step explanation:
i know its right-
i need help with 8th grade math problems
Answer:
ill help you what is it
Step-by-step explanation:
PlEASE HWLP MEEEE
Solve all three problems and make sure you show your work.
2x/3+5=12
4(x-2) + 8 = 32
2 + 3x – 4 = x + 6
Answer:
1. 15.5
2. 8
3. 4
Step-by-step explanation:
1. 2x/3+5=12
2x+5=36
2x=31
x=15.5
2. 4(x-2)+8=32
4x-8+8=32
4x=32
x=8
3. 2+3x-4=x+6
2+2x-4=6
2x=8
x=4
Larry pays 20.69 for 4 cases of soda an 3 bags of chip
What is the slope of the line that passes through the points (8, 4) and (20, -4) ?
Answer:
m = -2/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (-4-4)/(20-8)
m = -8/12
m = -2/3
Find the sum of 2mn and 9mn
Answer: 11mm
Step-by-step explanation:
Answer:
11mm
Step-by-step explanation:
Amanda’s hair grew 3/4 in. in 1 1/2 months? How long did her hair grow in one month?
Answer:
1/2 a inch was this helpful
Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat for 5 days. To prepare, she bought 8 cans of cat food. Did Jenna buy enough cat food? If so, how much? If not, how much did she have?
Given:
Number of times Jenna feeds her cat = 2
Cat food each time [tex]=\dfrac{3}{4}\text{ can}[/tex]
Number of days = 5
Number of cans she bought = 8
To find:
Did Jenna buy enough cat food.
Solution:
Required food for each time [tex]=\dfrac{3}{4}\text{ can}[/tex]
Jenna feeds her cat twice a day.
Required food for a day [tex]=2\times \dfrac{3}{4}\text{ can}[/tex]
[tex]=\dfrac{3}{2}\text{ can}[/tex]
Required food for 5 days [tex]=5\times \dfrac{3}{2}\text{ can}[/tex]
[tex]=\dfrac{15}{2}\text{ can}[/tex]
[tex]=7.5\text{ can}[/tex]
Since, 7.5 cans < 8 cans, therefore, Jenna buy enough cat food for her cat.
What is the quotient of 4.29 x 10^5 and 9.75 x 10^2 expressed in scientific notation?
The quotient by dividing the given numbers is required.
The quotient is 0.44 x 10³.
DivisionThe given numbers are
4.29 x 10⁵
9.75 x 10²
Let us make the numbers into whole numbers
4.29 x 10² x 10³ = 429 x 10³
9.75 x 10² = 975
So,
(429 x 10³) ÷ 975 = (39 x 11 x 10³) ÷ (39 x 25)
= (11/25) x 10³
= 0.44 x 10³
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Which graph represents the function y = 2/3x-2
Answer:
3rd one from the left.
It had the proper slope and when x = 0, y = -2
I need help ASAP pls
Which number sentence shows the multiplication property of zero?
A. 0 + 0 = 0
B. 1 × 8 = 8
C. 12 + 0 = 12
D. 18 × 0 = 0
Answer:
D..........................
The ratio of Eric's red shoes to blue shoes is 3:4. If Eric has 12 red shoes, how many blue shoes does he have?
Answer:
16
Step-by-step explanation:
red: blue
3 4
There are 12 red shoes
12/3 = 4
Multiply each side by 4
red: blue
3*4 4*4
12 16
There are 16 blue shoes
What makes -36 in multiplication?
Answer:
Basically the factors of 36 but one number will be negative.
Step-by-step explanation:
negative number x positive number = negative number
-1 x 36 = -36
-2 x 18 = -36
-3 x 12 = -36
-4 x 9 = -36
-6 x 6 = -36
-9 x 4 = -36
-12 x 3 = -36
-18 x 2 = -36
Hope this helps :)
The presence value of a negative sign in the multiplication operation contributes to the final result being -36.
In multiplication, the value -36 can be obtained by multiplying a positive number by a negative number or by multiplying two negative numbers.
For example:
-36 = (-1) × 36
This means that multiplying -1 by 36 gives us -36.
Similarly:
-36 = 6 × (-6)
Here, multiplying 6 by -6 also results in -36.
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To find the value of the following expression, which task should be completed first?
7 1/4 × 22 + (8 1/2 - 2) ÷ 3
Answer:
Paranthesis
Step-by-step explanation:
Remember: PEMDAS!!!
P: Paranthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Paranthesis always comes first in the PEMDAS rule, so if an equation includes paranthesis, solve the paranthesis first!!!
A box has four cards numbered 1 to 3 and four Hong will toss a coin wants and record the toss as heads or tails then he will randomly pick a card from the box and record the number chosen give the sample space describing all possible outcomes then give all of the outcomes for the event that the number chosen is three use the format H1 to mean that the coin tosses heads in the number chosen is one if there is more than one element in the set separate them with commas
Answer:
Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}
O(Card 3 Chosen) = {H3, T3}
Step-by-step explanation:
A sample space is the set containing all the possible outcomes or results that can occur during an event. In this case the sample space will contain 8 outcomes, and it will be as follows:
Sample Space = {H1, H2, H3, Hfour, T1, T2, T3, Tfour}
Now, it is clear from the sample space that there are total two outcomes in sample space, in which the card numbered 3 is chosen. They are:
O(Card 3 Chosen) = {H3, T3}
where, O represents Outcomes.
Christina took a total of 10 quizzes over the course of 5 weeks. How many weeks of school
will Christina have to attend this quarter before she will have taken a total of 18 quizzes?
Assume the relationship is directly proportional.
weeks
Submit
Work it out
Answer:
9 weeks
Step-by-step explanation:
If she took 10 quizzes over the span of 5 weeks, then she took 2 quizzes per week.
This is because:
10 quizzes ÷ 5 weeks = 2 quizzes
We can use this information to solve for 18 quizzes by setting up the equation the same way
If she takes 2 quizzes every week, and ends with 18 finished quizzes, how many total weeks did it take her ?
Variable x = total weeks
18 quizzes ÷ x weeks = 2 quizzes
With division, we can switch x weeks and 2 quizzes
18 quizzes ÷ 2 quizzes = x weeks
18 ÷ 2 = 9
9 weeks
You are at a football game. You decide to buy a hamburger for each of your
5 friends at the game. You also bought a soda for yourself for $4. You spent
a total of $21.50. How much do the hamburgers cost? WHICH EQUATION
FITS THIS SCENARIO?
4x + 5 = 21.50
21.50x + 5 = 4
5x - 4 = 21.50
5x + 4 = 21.50
Answer:
4x+5=21.50
Step-by-step explanation:
Answer:
5x-4=$21.50
Step-by-step explanation:
Hope that this helps!