Answer:
yolo its a pdf yolo sub to juice_fox
Line 1 passes through points ( 4 , − 4 ) and ( 8 , − 3 ) while line 2 passes through points ( 1 , − 6 ) and ( − 1 , 2 ). Determine whether the lines are parallel, perpendicular, or neither.
[tex]\stackrel{\textit{\Large line 1}}{(\stackrel{x_1}{4}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{4}}}\implies \cfrac{-3+4}{4}\implies \boxed{\cfrac{1}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\Large line 2}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})} \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{1}}}\implies \cfrac{2+6}{-2}\implies \cfrac{8}{-2}\implies \boxed{-4}[/tex]
keeping in mind that parallel lines have exactly the same slope, let's check for the slopes hmmm nope, they're not equal, so the lines are not parallel.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slopes hmmm
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{1}\implies -4}}[/tex]
low and behold, Line 2 has a slope that is negative reciprocal to the slope of Line 1, thus, they're indeed perpendicular.
What is the value of X
Answer:
x = 7
Step-by-step explanation:
=> 9/72 = 3x-20/56
=> 9×45/72 = 3x-20
=> 27/3 = x
=> x = 7
The sum of
1
2
and
1
5
is between
1
2
and 1.
Is this true yes or no
Answer:
no
Step-by-step explanation:
the sum of the first is 3 and the sum of the next is 6. neither of them are within the range of 1-2 and 1.
Use the graph that shows the solution to f(x)=g(x).
f(x)=−(x+2)(x−2)
g(x)=2|x+2|
What is the solution to f(x)=g(x)?
Select each correct answer.
−2
0
2
4
Answer:
-2, 0
Step-by-step explanation:
The solution(s) to f(x) = g(x) are the x-coordinates of the points where the graphs intersect. The points of intersection of these graphs are ...
(-2, 0) and (0, 4)
The x-coordinates of these points are -2 and 0.
The solutions to f(x) = g(x) are x=-2 and x=0.
Answer:
The answer is -2 and 0
Step-by-step explanation:
it was confirmed to be correct
John 450 words in half an hour. How many words would he type in 7 minutes?
Answer:
that is the correct answer
factorise and divide
3^ 2 (2 ^2 − 14 + 24) ÷ 6 (x − 4)
who willbdo this will be branliestband i will follow
What is the measure of angle B in the triangle?
this triangle is not drawn to scale
[Figured it out themselves (see comments), just putting this here so it stops showing up as unanswered]
In ΔABC, m∠A = 119° and m∠B = 49°. Which statement about the sides of ΔABC must be true?
Answer:
It is not true
Step-by-Step:
^ABC, m<A = 119 degrees.
In triangle ABC, side BC is longer and side AB shortest side.
Given that, in ΔABC, m∠A = 119° and m∠B = 49°.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Using angle sum property, we get
m∠A+m∠B+m∠C=180°
⇒ 119°+49°+m∠C=180°
⇒ m∠C=180°-168°
⇒ m∠C=12°
So, using triangle inequality theorem opposite to angle A, side BC is longer and opposite to angle C, side AB is shortest side.
Therefore, in triangle ABC, side BC is longer and side AB shortest side.
To learn more about the triangle inequality theorem visit:
https://brainly.com/question/1163433.
#SPJ2
X^2+16x+_=(x+_)^2 what are the missing digits?
Answer:
x^2+16x+64=(x+8)^2
Step-by-step explanation:
For the first spot you find the perfect square of the equation
This is found by doing (1/2 16)^2
1/2 16 = 8
8^2 = 64
The second spot is factoring, where you would put half of 16 or the square root of 64
1/2 16 = 8
root 64 = 8
Help po please "•v•
Salamat :)
Answer:
06:56 AM =06:56 H
10:44 AM =10:44 H
10:32 AM =10:32 H
01:09 PM =13:09 H
07:00 AM =07:00 H
HELPPPP
does anyone know how to do this
Answer:
1 13 2 16 3 17 4 21
Step-by-step explanation:
i hope this helps
Please help me please please please please
Answer:
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
lets do (1.5, 3.6) and (2.5, 6)
(6 - 3.6) / (1.5 - 2.5)
put answer in comment and i will mark
please put brainest
Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find the number of days, d, that Elena drove to work last week?
Answer:
ok so the equation will be
35d+28=203
-28
35d=175
divide by 35
d=5
she drove to work 5 times
Hope This Helps!!!
Do number 3 pleaseeee
Answer:
3. 24
Step-by-step explanation:
It's 24 because the formula for that shape is base multiplied by height which base is 8 and height is 3 for 8*3 = 24.
Answer: 24 cm
Step-by-step explanation:
You multiply both sides to find the area. We can pretend if we could cut the left triangle off and add it to the right. Then 8x3= 24
how do you multiply and divide with scientific notation
Answer: To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.
Step-by-step explanation:
Amy invested $1500 in an account with an interest rate of 6.5%
What will the account balance be in 20 years if the interest is compounded monthly?
Step-by-step explanation:
p=1500
R=10%
t=20yrs
SI=PTR/100
=1500*10*20/100
=3000
amount(A)=P+I
=1500+3000
=4500
What is the ratio of rise to run between the points (-10, 9) and (6, 5)? A. B. 4 C. D. -4
The ratio of rise to run, which is the slope between the two points is: -1/4.
What is the Slope between Two Points?Slope = ratio of rise to run = change in y/change in x
Given the following points:
(-10, 9) and (6, 5)
Rise = (5 - 9) = -4
Run = (6 -(-10)) = 16
Ratio of rise to run = slope = -4/16 = -1/4.
Therefore, the ratio of rise to run, which is the slope between the two points is: -1/4.
Learn more about slope on:
https://brainly.com/question/3493733
Answer:
-1/4.
Step-by-step explanation:
Took the quiz and it was correct. Hope this helps.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Roses: 6
Daisies: 15 - 6
= 9
The ratio of all flowers to all rose flowers.
15:9
The ratio of roses to daisies.
6:9
2:3 (simplified)
What is the midpoint of CD?
5
4
3
2+
O
1
ㅇ [1]
( )
54 -3 -2 -11
X
1 2 3 4 5
D(4-1)
-2
C(-3,4)
Answer:
See below. (0.5,1.5)
Step-by-step explanation:
I can't make out most of the question. What is:
5
4
3
2+
O
1
ㅇ [1]
( )
54 -3 -2 -11
X
1 2 3 4 5
?????
=====
I do see D(4-1) and C(-3,4). The question asks what is the midpoint. That would be point M, with a coordinate of (0.5,1.5), which is derived from the average of the two points: x: (4-3)/2 = 0.5; y: (-1+4)/2) = 1.5
See the attached image for how the points relate to each other. I derived an equation for the point to illustrate where the midpoint, M, is situated.
=============================
Slope = Rise/Run
Rise: (-1 - 4) = -5
Run: (4 - (-3)) = 7
Slope = -(5/7)
Equation for the line is y = -(5/7)x + 1.9
Find the remainder when the polynomial 6x2 + 8x - 2 is divided by x - 2.
Answer:
38
Step-by-step explanation:
x-2 = 0 → x = 2 put this value in polynomial
6(2)² + 8(2) - 2 = 24 + 16 - 2 = 38
there is another way too. but it's longer. you can see it in picture.
Answer:
Did the quiz :)
Step-by-step explanation:
FOR 21 POINTS
A triangle has an angle measuring 90°, an angle measuring 20°, and a side that is 6 units long. The 6-unit side is in between the 90° and 20° angles.
How many unique triangles can you draw like this?
Answer:
One
Step-by-step explanation:
Since we have a 90° angle and a 20° angle, the last angle must be 70°.
180° - 90° - 20° = 70°
Now we also have the requirement of a 6-unit side between the 90° and 20° angles.
With all of these requirements, we can only draw one triangle like this since we have an angle, an angle, a required third angle, and a side.
Gina and Derek saw some trees on their walk through the park. They made a diagram showing the distance between trees.
A line diagram shows 5 points. The points are labeled start, maple tree, oak tree, pine tree, and end. The distance from the start to the maple tree is 5 yards. The distance from the maple tree to the end is 28 and two-sixths yards. The distance from the oak tree to the pine tree is 11 and three-sixths yards. The distance from the pine tree to the end is 7 and five-sixths yards.
What is the distance between the maple tree and the oak tree?
A.
3
4
6
yards
B.
9
yards
C.
19
2
6
yards
D.
23
2
6
yards
The difference between the maple and oak trees is the difference
between [tex]28\frac{2}{6}[/tex] and ([tex]11\frac{3}{6}[/tex] + [tex]7\frac{5}{6}[/tex] ), which is 9 yards.
Response:
The distance between the maple tree and the oak tree is option B.
B. 9 yards
Which methods can be used to determine the distances on the line diagram?The given parameters are;
Start → Maple tree → Oak tree → Pine tree → End
The distance from the start to the maple tree = 5 yards
The distance from the maple tree to the end = [tex]\mathbf{28\frac{2}{6}}[/tex] yards
Distance from the oak tree to the pine tree = [tex]11\frac{3}{6}[/tex] yards
Distance from the pine tree to the end = [tex]\mathbf{7\frac{5}{6}}[/tex] yards
Required:
The distance between the maple tree and the oak tree
Solution;
From the maple to the end, d is given as follows;
d = Maple tree to the end - Distance from the oak tree to the end
Oak to the end = Oak to pine + Pine to end
Therefore;
[tex]Oak \ to \ the \ end = 11\frac{3}{6} + 7\frac{5}{6} = 19\frac{1}{3}[/tex]
Which gives;
[tex]Maple \ to \ the \ oak \ tree = 28\frac{2}{6}- 19\frac{1}{3} = 9[/tex]
The distance from the maple to the oak tree = 9 yards
The correct option is; B. 9 yards
Learn more about fractions here:
https://brainly.com/question/26794609
1000 sheets of computer paper for $8.95 find unit rate
Answer:
The answer is 2.5
Step-by-step explanation:
plus the sum of 1000
Please help and show working
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
Answer:
64m/h
Step-by-step explanation:
t (time) = d (distance) /v (speed)
t = 281/4.41
t = 63.7
What is the value of x?
x
21.5
13.1
Round your final answer to the nearest tenth.
Use the Pythagorean theorem
Answer
x=37.8
Step-by-step explanation:
According to Pythagoras theorem
AB = 21.5
BC = 13.1
AC = ?
AC²= AB²+BC²
x² =(21.5)²+(13.1)²
x² =462.25+967.21
x² =1429.46
x =√1429.46
x =37.8
HONESTLY help me I don’t understand math
Answer:
15. 2m
17. 1.5m
Step-by-step explanation:
just square root it
100 POINTS!!!
PLEASEEEE HELPPP ASAPPPP!!!
Given the graph of the quadratic function, identify the solutions.
[tex]f(x) = 0[/tex]
Since the function intersects the x-axis at the point (2,0) & (-4,0), we can then say:[tex]solution = \\ x = 2 \\ x = - 4[/tex]
The premiter of a rectangular rug is 40 feet. Its length is 12 feet. What is the width
Can someone answer these questions?? Thank you!!!
how many terms of the A.p 18,16,14 ... be taken so that their sum is zero?
Answer:
19 terms
Step-by-step explanation:
the sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 18 and d = a₂ - a₁ = 16 - 18 = - 2, then solving for n
[tex]\frac{n}{2}[/tex] [ (2 × 18) - 2(n - 1) ] = 0 ( multiply both sides by 2 to clear the fraction )
n(36 - 2n + 2) = 0
n(38 - 2n) = 0 ← distribute parenthesis on left side by n
38n - 2n² = 0 ← factor out 2n from each term on the left
2n(19 - n) = 0
equate each factor to zero and solve for n
2n = 0 ⇒ n = 0
19 - n = 0 ⇒ n = 19
n > 0 , then number of terms is 19