Given:
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
To find:
Which of the lines, if any are perpendicular.
Solution:
If a line passes through two points, then the slope of line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Line a passes through (2, 10) and (4, 13). So, slope of this line is
[tex]m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}[/tex]
Line b passes through (4, 9) and (6, 12). So, slope of this line is
[tex]m_b=\dfrac{12-9}{6-4}=\dfrac{3}{2}[/tex]
Line c passes through (2, 10) and (4,9). So, slope of this line is
[tex]m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}[/tex]
Product of slopes of to perpendicular lines is -1.
[tex]m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1[/tex]
[tex]m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
[tex]m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1[/tex]
Therefore, any of these lines are not perpendicular to each other.
I WILL GIVE BRAINLIEST:)) Use the table to find the products of the two polynomials. Write your answer in descending order.
Answer:
A) 4[tex]x^{4}[/tex]-4[tex]x^{3}[/tex]-16[tex]x^{2}[/tex]+16x
B)4[tex]x^{4}[/tex]-4[tex]x^{3}[/tex]-16[tex]x^{2}[/tex]+16x
Step-by-step explanation:
look at picture
Maria works for an automobile dealership. She earns a 10% commission on each motorcycle she sells and a 15% commission on each car she sells.
Maria sells a motorcycle for $5,000 and a car for $25,000. What is the total commission that she will earn on the sale of these two vehicles?
A.
$5,500
B.
$5,000
C.
$4,850
D.
$4,250
the answer is d. $4,250
Graph this function:
y - 3=1/4 (x + 3)
Click to select points on the graph.
Multiply out and simplify: (x + 6)(x - 2)
Answer:
x squared+4x−12
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 4x - 12[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)[/tex]
[tex] = > x(x - 2) + 6(x - 2)[/tex]
[tex] = > {x}^{2} - 2x + 6x - 12[/tex]
[tex] = > {x}^{2} + 4x - 12[/tex]
What is the correct answer?
Answer:
2x = 2.50
Step-by-step explanation:
Answer:
2x = 2.50
Step-by-step explanation:
This can be the answer or it can be the other way around
please solve this!
Answer:
slope of doted lines: -3/1
slope of reflection line: 1/3
Step-by-step explanation:
What is the recursive formula for this sequence?
10, 14, 18, 22, 26, ...
The only thing you do is add 4
10+4=14
14+4=18
18+4=22
22+4=26
26+4= 30
30+4=34
34+4= 38
it's f(n+1)=4+f(n) or an+1=4+an
Find E and F!! Please and thanks!
Answer:
m∠E = 61°
m∠F = 61°
General Formulas and Concepts:
Pre-Alg
Equality PropertiesGeometry
Congruent AnglesAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
m∠D = 58°
m∠E = m∠F = x
Step 2: Set up equation
58 + x + x = 180
Step 3: Solve for x
Combine like terms: 58 + 2x = 180Subtract 58 on both sides: 2x = 122Divide 2 on both sides: x = 61°Step 4: Find angle measures
Define: m∠E = x°Substitute: m∠E = 61°Define: m∠F = x°Substitute: m∠F = 61°I will give branlyest 2/11 ≥ 4/25
true false
Answer:
True. 2/11 is greater than 4/25
Step-by-step explanation:
Hope that helps!
Answer:
True
Step-by-step explanation:
The LCM of 11 and 25 is 275.
2/11 -> 50/275
4/25 -> 44/275
2/11 is greater
y−2x=4
3x−5y=15
The system of equations above is only true if x=-6 or x=-5 or x=5 or x=10 and y=-10 or y=-8 or y=-6 or y=3
Answer:
The answer is x=-5 and y= -8
Step-by-step explanation:
When factored completely, which is a factor of 6x^3 - 12x^2 - 48x?
Answer:
The answer is 6x(x+2)(x-4)
which property would allow you to use mental computation to simplify the problem 27+15+3+5?
Answer:
addition
Step-by-step explanation:
There is only plus signs
Factor x^2+49 and if possible write the process of how to do it
Answer:
It is in the simplest form unless you want to put in a number for x.
Step-by-step explanation:
Answer:
Hi pls dont tell anyone its me pls and thank you
Step-by-step explanation:
6. Amelia is building a fence and wants it to be 40 feet long. Each panel is 8 feet long, and
she will need a post at each end and between each panel. If she does NOT plan to buy
any extra for waste, how many panels and posts will she need?
Answer:
5.
Step-by-step explanation:
If you know your multiplication, you would know that 8x5=40. so, 40 divided by 8 equals 5. and if you dont have 8x5 memorized, do 5x10. 50. 10-8=2. 5x2=10. 50-10=40. Voila!
Complete the sentence.
A ___ is an amount of decrease in price.
Answer:
Discount ?
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, CB = 61, DC = 60, and BD = 11. What is the value of the tangent of ∠B to the nearest hundredth?
Answer:
5.45
Step-by-step explanation:
just did on delta math
Answer:
5.45
Step-by-step explanation:
tan B =tanB= adjacent / opposite = 60/11
≈5.4545≈5.45
Need Help ASAP! Thank you!
Answer:
b.
Step-by-step explanation:
B because the slope of f(x) is 1 yet the slope of g(x) is 1/3
help again...brainliest
Answer:
A.
Step-by-step explanation:
Atom is the smallest thing g possible and organ is the biggest on that list.
What is the value of
[
3
(
−
2
)
−
7
]
÷
(
1.5
+
0.5
)
?
Answer:
-6.5
Step-by-step explanation:
PEMDAS
Ashley found 2 boxes of sugar in the kitchen. The green box is 1.26 kg and the red box is 1.026 kg. Which box contains more sugar?
Answer:
Answer:
Green box contains more sugar.
Step-by-step explanation:
Consider the provided information.
Ashley found 2 boxes of sugar in the kitchen.
The green box says 1.26 kg and the red box says 1.026 kg.
we need to find which box contains more sugar.
To find this we will first check the digit at ones place.
Both the digit has 1 at the ones place. So now check the digit at tenths place.
1.26 has 2 at tenths place while 1.026 has 0 at tenths place.
As we know 2 is greater than 0, thus the number 1.26 is greater than 1.026.
Hence, green box contains more sugar.
x +y = 4
Graph the following equation on the coordinate grid blow
I am gonna passed a photo
Which is an equation of the line with a slope of 1/4 and a
y-intercept of - 2?
a. x-4y=8
b. x+4y=-8
c. 4x+y=-2
d. 4x-y=2
Answer:
x-4y=8
Step-by-step explanation:
x-4y=8
-4y=-x+8
y =-x/4 + 2
Calculators cannot display repeating decimals. Calculators always round.
Zeke's calculator displays decimals to 4 places. He uses his calculator to find the
decimal equivalent for each of the fractions below.
For each number, choose what his calculator will display, as the decimal equivalent.
Then choose whether or not this is the exact decimal equivalent.
Answer:
1. 0.333 No
2. 0.3 or 0.300 Yes
3. 0.667 No
Step-by-step explanation:
What is the equation of the line through the origin and (-5, 6)?
A. y=-5x
B. y=-5/6x
C. y= -6x
D y= -6/5x
Answer:
y= -6/5x
Step-by-step explanation:
y=-6/5x+0
=> The answer is D.
Sarah walker 3 miles in 45 minutes. What is her average minutes per mile
0.067 mi/min
Step-by-step explanation:
Distance = 3 miles
Time = 45 minutes
Average Speed = ?
[tex]Average \: Speed = \frac{distance}{time} \\ = \frac{3}{45} = \frac{1}{15} \\ = 0.067[/tex]
Answer:
I think the answer is 15.
Step-by-step explanation:
Just divide 45 from 3 then you will get the results.
Please help with this question. Thank you!
Answer:
403.8 cm
Step-by-step explanation:
Refer to the picture that given
Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him 4.5 hours. For the first half-hour, he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?
Answer:
Speed in heavy traffic is 32 miles per hour
Step-by-step explanation:
Total distance = 252miles
Total time = 4.5hours = 4 hours + 30minutes
Let the speed in heavy traffic = x
distance = time * speed
First half hour
D1 = 0.5*x
The speed after the traffic = 2x - 5
D2= 4* (2x - 5)
Total distance = D1 + D2
[tex]\frac{x}{2}[/tex] + 8x - 20 = 252
[tex]\frac{17x}{2}[/tex] = 272
x = [tex]\frac{272}{17}*2[/tex]
x = 32 miles per hour
A line passes through the points (4,-1) and (2.3). What is the slope of the line?
Answer:
-2
Step-by-step explanation:
i got it right
Which one do i pick?
Answer:
SAS postulate
Step-by-step explanation:
the congruent angles are JMK and KML
the congruent sides is the shared side and JM and ML
help fast timed hurry please
Answer:
b: 4
Step-by-step explanation:
Answer:
B:4
Step-by-step explanation: