Two lines [tex]y_1,y_2[/tex] are perpendicular if their slopes are in a relation [tex]m_1=-\frac{1}{m_2}[/tex].
So we need to find slopes and if the above relation holds then we can claim the lines are perpendicular.
To find slopes, use slope formula
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
The first slope of a line passing through [tex]PQ[/tex] is
[tex]m_1=\frac{-13-(-9)}{6-2}=\frac{-4}{4}=-1[/tex]
The second slope of a line passing through [tex]RS[/tex] is
[tex]m_2=\frac{-1-(-5)}{5-1}=\frac{4}{4}=1[/tex]
Now check if [tex]m_1=-\frac{1}{m_2}[/tex] is true
[tex]-1=-\frac{1}{1}\implies -1=-1[/tex]
This means the two lines are perpendicular.
Hope this helps.
m=n give reason
2)x=y. give reason
3) y+n = x+m give reason
Answer:
[tex]m = n[/tex] --> Corresponding angle
[tex]x = y[/tex] --> Vertically opposite
Step-by-step explanation:
Given
The attachment
Required
State the reason for the given statements
m = n
m and n are corresponding angles.
So:
[tex]m = n[/tex]
x = y
x and y are vertically opposite angles
So:
[tex]x = y[/tex]
[tex]y + n = x + m[/tex]
In (b)
[tex]x = y[/tex]
Add m to both sides
[tex]x + m = y +m[/tex]
In (a) [tex]m = n[/tex]
So, substitute n for m on the left hand side
[tex]x + n = y + m[/tex]
create an expression whose value will be 14 when X =-3
Answer: 2x + 20
Step-by-step explanation:
2x + 20
2 (-3) + 20
-6 + 20 = 14
The expression (2 * X) + 20 will have a value of 14 when X = -3.To create an expression that evaluates to 14 when X = -3, we can use a combination of arithmetic operations.
Let's start with the variable X = -3.
One possible expression is:
(2 * X) + 20
Substituting X = -3:
(2 * (-3)) + 20 = -6 + 20 = 14
Therefore, the expression (2 * X) + 20 will have a value of 14 when X = -3.
To know more about arithmetic operations:
https://brainly.com/question/30553381
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Find the measure of angle T for the kite below
Answer:
Angle T = 43°
Step-by-step explanation:
118+118+81 = 317
360-317 = 43
Please help me!!!!!!!!!!!!!!
Which operation should be performed first to simplify the expression below?
19 - 2 \times 8 \div 4 + 6
A
Addition
B
Subtraction
C
Multiplication
D
Division
Answer:
D) division
Step-by-step explanation:
is a single money that grows interest overtime to a larger sum brainly
Step-by-step explanation:
while both types of interest that grows every time over time
Jackson bought snacks for his team's practice. He bought a bag of apples for $2.74
and a 10-pack of juice bottles. The total cost before tax was $26.14. How much was
each bottle of juice?
Answer:
each bottle of juice costs $2.34
Step-by-step explanation:
2.74+10x=26.14
10x=26.14-2.74
10x=23.40
x=23.40/10
x=2.34
Mellie Grant started cleaning the swimming pool at the Country Club at 10:30 a.m. and completed her assignment at 3:15 p.m.. How long did it take her?
Answer:
The answer should be 225 minutes
Step-by-step explanation:
There are 12 negative charges and 8 positive charges. Which integer represents the total value of the charges?
Answer:
-4
Step-by-step explanation:
-12 + 8
-4
MODELING REAL LIFE Forty-five basketball players participate in a three-on-three tournament. Write and solve an equation to find the
number x of three-person teams in the tournament.
An equation that represents this problem is
= 45
They can form
three-person teams.
Answer:
3x = 45
they can form 15 three-person teams
Step-by-step explanation:
45 / 3 = 15
35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?
Answer:
0.2 = 20% probability that a student takes Spanish and engineering
Step-by-step explanation:
We solve this question treating the probabilities as Venn sets.
I am going to say that:
Event A: Student takes Spanish
Event B: Student takes Engineering.
35% of students take spainsh or engineering.
This means that [tex]P(A \cup B) = 0.35[/tex]
30% of students take Spanish.
This means that [tex]P(A) = 0.3[/tex]
25% of students take engineering.
This means that [tex]P(B) = 0.25[/tex]
What is the probability that a student takes Spanish and engineering?
This is [tex]P(A \cap B)[/tex].
These probabilities are related by the following formula:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Replacing the values
[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]
0.2 = 20% probability that a student takes Spanish and engineering
Josephine lives in a
castle 5 miles north of Earl, and Alexander lives 12 miles east of Earl. How many miles away do
Josephine and Alexander live from each other?
Explain why Plan B is the better
choice for Dylan if he only has $50
to spend on video games, including
a membership fee.
Answer: According to the graph, Bobby can get 14 games under Plan B but he can only get 12 games under Plan A.
According to the graph, if Bobby plans to spend $65, then both plans will give him the same number of games because that is the point where the two plans are the same.
Step-by-step explanation:
find the inequality represented by the graph
Answer:
y is greater than or equal to -2x-5
Step-by-step explanation:
First find the slope which is -2x and then find the y-intercept which is -5 and then you can just test out if its greater than or equal to, or less than or equal to. To do this you just fill in the point 0,0 and if you do that you should get 0 is greater than (you can ignore the "or equal to") -5 and is that true? Yes it is! so then the side of the line that the point 0,0 is on should be shaded and since it is your answer is right!
Hope this helped!
If 10% of a number is 2 less than 20% of the same number, then 80% of the
number equals __
Answer:
254
Step-by-step explanation:
bcDSHWDJHgvshjg
у= -6х + 4
Solve for slope and y intercept
HELP ! pleaseee I’ve been trying & I still don’t know
Answer:
y = 1 over 2 x + 15
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
-3x - 6+ (-1)
Stuck? Watch a video or use a hint.
Answer: -3x-7
Step-by-step explanation:
4. Sara has been using an online review program to take practice tests for her upcoming graduation exam. Her scores are shown in the table. What is the median of the data?
Captionless Image
17
79
84
86.5
Answer:
79
Step-by-step explanation:
b because I did the math and got that.
x + 14 = 113 x=______ solve the question
Answer:
x=99
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute what is the initial value of the linear function that represents the situation ?
Answer:
45.
Step-by-step explanation:
Since Hideki is draining a 45 gallon aquarium at a rate of 15 gallons per minute, to determine what is the initial value of the linear function that represents the situation, the following calculation must be performed:
45 (starting number) - 15(number of gallons per minute) X(minutes) = Y
Therefore, the equation would be 45 - 15X = Y, with which the initial value of the linear function that represents the situation is 45.
solve: 2(5x + 3)= 25
solve : 2(5x + 3) = 25
SOLUTION:▶️2(5x + 3) = 25
▶️ 2 × 8x = 25
▶️ 16x = 25
▶️ x = 25/16
▶️ x = 1.5625
ANSWER:1.5625
Step-by-step explanation:
Step 1:
2(5x+3)=25
(2)(5x) + (2)(3)=25 (distribute)
10x+6=25
Step 2:
10x+6 - 6 = 25 - 6
10x =19
Answer :
X=19 of 10
si una matriz tiene una fila o columna de cero su determinante es
Answer:
lo mismo
Step-by-step explanation:
la columna s de ceros , es lo mismo ESPERO Y TE AYUDE :)
Bob wants to buy a TV that costs $100. He plans to save $5 per week. How many weeks w will it take Bob to save $100?
Answer:
he will have to save 5 dollars for 20 weeks
Step-by-step explanation:
5 x 20 = 100
5. Scott planted 20% of a garden with roses. What is the area of
the section of the garden that is planted with roses?
(giving brainiest)
Susie has 4 gallons of juice. How many cups of juice does she have?
A. 2 cups
B. 16 cups
C. 32 cups
D. 64 cups
Answer:
D
Step-by-step explanation:
Answer:
You'll know that she has 64 cups of juice by multiplying 4 gallons x 16 cups.
Step-by-step explanation:
Simplify and write your answer in scientific
notation.
(3 X 10^6)^3
Answer:
(3 × 10⁶)³ is equal to 2.7 × 10¹⁹
Step-by-step explanation:
You can solve this by raising both terms in the brackets to the power of three:
(3 × 10⁶)³
= 3³ × 10⁶ˣ³
= 27 × 10¹⁸
= 2.7 × 10¹⁹
Factor the expression using the GCF of each term, and the distributive property in reverse. Show your work using the text tool, or writing it neatly on paper and uploading an image of your work.
5x+30
Answer:
cjvwxvjct3i3frjobkb dxe khr2fohc2ohcf2pjr fpfvivohcr2jcrn
A plane flying horizontally at an altitude of 3 miles and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
10
Step-by-step explanation:
cuz i know okay sheeesh
simplfy 2(v-4)-5v helpp meee
Step-by-step explanation:
2(v-4)-5v
= 2v-8-5v
= -3v-8
