Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. When the slopes of lines a and b are multiplied, the product is −1. Line a and line b intersect to form four right angles. The slopes of lines a and b are equal. The slopes of lines a and b are opposites
Answer:
When the slopes of lines a and b are multiplied, the product is −1.
Line a and line b intersect to form four right angles.
Step-by-step explanation:
Given
Perpendicular lines a and b
Required
Select the true statements
Represent the slope of line a with [tex]m_1[/tex] and the slope of b with [tex]m_2[/tex].
The condition for perpendicularity is:
[tex]m_1 * m_2 = -1[/tex]
Solving further:
[tex]m_1 = -\frac{1}{m_2}[/tex]
To solve further, we need to analyze each of the given options
(a) This is not true because the slope of perpendicular lines are not reciprocal
(b) This is also not true because perpendicular lines do not necessarily have to intersect at their midpoints
(c) This is true because of the condition stated above: [tex]m_1 * m_2 = -1[/tex]
(d) This is also true because perpendicular lines form right angles when they intersect
(e) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
(f) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
The product of the slope of the perpendicular lines is negative of one. Then the correct options are B and C.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Lines a and b are perpendicular.
Then the product of the slope of the perpendicular lines is negative of one. That is given as
[tex]\rm m_1*m_2 = -1[/tex]
a. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. This is false.
b. When the slopes of lines a and b are multiplied, the product is −1. This is true.
c. Line a and line b intersect to form four right angles. This is true.
d. The slopes of lines a and b are equal. This is false.
e. The slopes of lines a and b are opposites. This is false.
More about the linear system link is given below.
https://brainly.com/question/20379472
Square root of -24 to the nearest integer
Find the first four terms of the sequence given by the following.
an= 9(2)^-1,
n=1, 2, 3...
Answer:
See this attachment...
Step-by-step explanation:
Your answer dear
hope it's helpful to you
Which of the following is used to inscribe a square in a circle?
A. Copy the chord that runs through the center of the circle.
B. Construct a perpendicular bisector of the diameter of the circle.
C. Use the radius length to find four vertices inscribed on the circle.
D. Construct a right angle using the radius of the circle and a tangent line.
Answer:
The option which is used to inscribe a square in a circle is option B
B. Construct a perpendicular bisector of the diameter of the circle
Step-by-step explanation:
The steps required to inscribe a square in a circle are;
1) Draw the circle using a compass
2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y
3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B
The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle
Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.
A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is formed by the prism and a plane that intersects the prism as shown. Find the area of the cross section.
Ms. kelly has a field of sweet corn with one outside row measuring 540 feet and the other 600 feet. It measures 420 feet across the rows. How many acres of sweet corn are in this field?
Answer: .
Step-by-step explanation:
Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.
Answer:
(9, 57/7)
Step-by-step explanation:
Given the coordinates A(5 , 5) and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;
P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
Substitute the given values
X = 5(5)+2(19)/5+2
X = 25+38/7
X = 63/7
X = 9
Similarly;
Y = 5(5)+2(16)/5+2
Y = 25+32/7
Y = 57/7
Hence the coordinate of point P is (9, 57/7)
I seem to be getting my questions wrong or be going on the wrong trail. Can someone help me decode this?
Answer:
A=4
B=3
C=2
D=1
Step-by-step explanation:
Can you guys help me please ASAP!!!
Answer:
C
Step-by-step explanation:
2^0+4=5
2^3 +4=12
2^7+4=132
Brand XYZ dog food costs $36 for 15 pounds of dog food . What is the cost per pound?
Answer:
$2.40
Step-by-step explanation:
36÷15=2.4
since we are talking about money you add a zero.
Hope this helps
Cost of the dog food per pound is $2.4
What is cost?Cost is the value of money that has been used up to produce something or deliver a service
Cost of 15 pound of dog food = $36
Cost of 1 pound of dog food = [tex]\frac{36}{15}[/tex]= $2.4
Hence, the cost of 1 pound of dog food is $2.4
Learn more about cost here
https://brainly.com/question/13910351
#SPJ2
write the equation (3,5) in standard form
Answer:
We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.
Step-by-step explanation:
can you please help me with my question
Write and evaluate the expression. Then, complete the statements. nine more than the product of seven and a number, decreased by three The expression to model the situation is . The value of the expression when n = 8 is .
Answer:
9 + 7n - 3 ;
61 ;
Step-by-step explanation:
Let the number = n
9 + 7*n - 3
Hence, the expression is :
`9 + 7n - 3
If the number,n = 8
The value of the expression becomes :
9 + 7(8) - 3
8 + 56 - 3
= 61
Answer:
nine more than the product of seven and a number, decreased by three
The expression to model the situation is
✔ 9 + 7n – 3
.
The value of the expression when n = 8 is
✔ 62
.
Step-by-step explanation:
on edge
Lanna's dad was teaching her about the stock market. He has 100 shares of Company A stock
valued at $45 a share and 250 shares of Company B stock valued at $22 a share. How much is
his stock worth?
Answer: $10,000
Step-by-step explanation:
Lanna's dad stock worth will be the value of the total shares in both company A and company B.
Value of stock in company A = 100 × $45 = $4500
Value of stock in company B = 250 × $22 = $5500
Total stock worth = $4500 + $5500 = $10,000
a school has 36 fish swamps 4/6 of them's are boys how much are girls
Answer:
12 fish are girls
Step-by-step explanation:
multiply 4/6 by 6 which would be 24/36. Then substract 24 from 36 and you get 12.
Answer:
12 are girls
Step-by-step explanation:
Reason that since 4/6 of them are boys then that means 2/6 are girls
then convert 2/6 to decimal form which is 0.3333....
then multiply that by 36 which gives us 12
you could also go the roundabout way and convert 4/6 to decimal form and take that value and multiply it by 36 which gives us 24 then subtract 24 from 36 which still gives us 12
hope this makes sense
have a great day luvs <3
Help!
This is for Patterns, Functions, and Algebra!
you didn't ask the question
The circumference of a circle is 9 cm. What is the diameter?
Answer: [tex]\frac{9}{\pi } \\or\\2.86[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]9=\pi d\\\frac{9}{\pi } =d\\[/tex]
ESCRIBE LA EXPRESION ALGEBRAICA : Paul tenía S/ e. Compró un libro y recibió S/ 3 de vuelto. ¿Cuánto costó el libro en términos de e? *
Answer:
p(e)=e-3
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:
p(e)=e-3, donde
p es el precio del libro
e es la cantidad que Paul tenía al inicio
5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?
Answer:
8 ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]
[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]
r = 4
d = 8 ft.
PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST
Answer:
The answer is 45
Step-by-step explanation:
First, you find what is half of 30 by dividing 30 by 2
30/2 = 15
Then you add 15 to 30 since you have to increase it by 1/2
30 + 15 = 45
I hope this helped and have a great day!
this quiz is due in a hour I'll up the points to 25
Answer:
The sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]
Step-by-step explanation:
From the given right angled triangle diagram, sin A is calculated as follows;
[tex]sin \ A = \frac{Opp}{hypo} \\\\sin \ A = \frac{2\sqrt{6} }{8} \\\\sin \ A = \frac{\sqrt{6} }{4}[/tex]
Therefore, the sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]
You randomly chose a marble from a har. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Which is the probability of choosing a blue marble?
A. 10/27
B. 2/5
C. 1/5
D.8/25
A shelf for bowling balls can support 100 pounds. If a red bowling ball weighs 6 pounds and a blue bowling ball weighs 10 pounds, can the shelf support 4 red bowling balls and 6 blue bowling balls? Write the total weight of the bowling balls.
Answer:
yes
84
Step-by-step explanation:
Answer:
yes, 84 pounds
Step-by-step explanation:
4 red balls would be 24 pounds
6 blue would be 60 pounds
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
Sari ran for class president. Each student in her class voted one timer Sari won 25% of the student votes
If Sari received 60 votes, how many students voted altogether?
Answer: 240 students
Step-by-step explanation:
25%=60
25*4=100
60*4=240
100%=240
Answer:
240 votes
Step-by-step explanation:
25% - 60 votes
100% - x
x = (100×60)÷25 = 240 (votes)
Solve for X and round to the nearest tenth
Answer:
x= 15.4
Step-by-step explanation:
tanx = opp/adj
tan52° = x/12
x= tan52° * 12
x= 15.359
round -> 15.4
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.
Answer:
Janine is 28 and Ingrid is 30.
Step-by-step explanation:
Let Janine's age be x years , then Ingrid's age is x+2 years.
From the given information we have the equation:
x/7 + (x + 2)/3 = 14
Multiplying through by the LCM of 3 and 7 (21), we have:
3x + 7(x + 2) = 294
10x + 14 = 294
10x = 294-14 = 280
x = 28, so:
Janine is 28 and Ingrid is 30.
Tina is making a frame for a picture she drew. The length of the picture is 11 1/9 inches, and the width of the picture is 7 1/4 inches. How much longer is the picture than it is wide? (Need ASAP please!)
Answer:
3 31/36 inches
Step-by-step explanation:
11 1/9 = 100/9
7 1/4 = 29/4
100/9 = 400/36
29/4 = 261/36
400/36 - 261/36 = 139/36
139/36 = 3 31/36
I need this the answer to 2/7 × 5/6
Answer:
5/21
Step-by-step explanation:
i mutiplyed
Find the value of the lettered angles in these diagram
Answer:
1. m = 65°
x = 30°
2. x = 40°
Step-by-step explanation:
1. Since the figure is an isosceles triangle, m = 2x - 5
180 - 50 = 130 (Total degree for both m and 2x - 5)
130 ÷ 2 = 65 (m and 2x - 5 angle degrees)
65 - 5 = 60 (2x)
2 x = 60°
x = 60 ÷ 2 = 30°
2. I forgot the parallel rule for question 2, but I think X and 40° is parallel to each other?
Describe and correct the error
Answer:
ok
Step-by-step explanation: