Which lines are perpendicular to 3x + 6y = 5? Select all that apply.
A. 3x + 6y = 10
B. y = 2x - 1
C. y - 4 = 2(x + 7)
D. x - 2y = -6
Answers
The lines which are perpendicular to 3x + 6y = 5 are; Choice B and C; y = 2x - 1 and y - 4 = 2(x + 7).
Perpendicular linesFrom the task content, it follows that the given equation is; 3x+ 6y = 5.
By rewriting the equation in slope intercept form; it follows that; y = (-1/2)x +5/6. Hence, the slope of the line is; -1/2.
From line geometry, it follows that two lines are perpendicular if; m1 × m2 = -1.
Therefore, a line perpendicular to the given line will have a slope of 2.
From the given option, the lines which are perpendicular to 3x + 6y = 5 upon conversion to the Slope-intercept form are; Choice B and C.
Read more on perpendicular lines;
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Can someone help me on this it’s been giving me a hard time
Answers
Given:
QRST is an isosceles trapezoid with RS||QT.
To find:
The value of x, angle R and angle T.
Solution:
If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.
[tex]m\angle Q+m\angle R=180[/tex]
[tex](6x-22)+(8x+34)=180[/tex]
[tex]14x+12=180[/tex]
[tex]14x=180-12[/tex]
[tex]14x=168[/tex]
Divide both sides by 14.
[tex]x=\dfrac{168}{14}[/tex]
[tex]x=12[/tex]
Now,
[tex]m\angle R=(8x+34)^\circ[/tex]
[tex]m\angle R=(8(12)+34)^\circ[/tex]
[tex]m\angle R=(96+34)^\circ[/tex]
[tex]m\angle R=130^\circ[/tex]
We know that the base angles of an isosceles triangle are equal.
[tex]m\angle T=m\angle Q=(6x-22)^\circ[/tex]
[tex]m\angle T=(6(12)-22)^\circ[/tex]
[tex]m\angle T=(72-22)^\circ[/tex]
[tex]m\angle T=50^\circ[/tex]
Therefore, [tex]x=12,\ m\angle R=130^\circ[/tex] and [tex]m\angle T=50^\circ[/tex].
Orlando tiene como tarea obtener el resultado correcto de la operación 14 + 5 – 6 x 2 ¿Hallará el resultado correcto efectuando (14 + 5) – (6 x 2) o (14 + 5 – 6) x 2?.
Answers
Responder:
(14 + 5) - (6 x 2)
Explicación paso a paso:
Para la operación dada:
14 + 5-6 x 2
Siguiendo la prioridad de operación matemática BODMAS.
Multiplicamos antes de realizar la suma:
-6 * 2 = 12
Ahora;
14 + 5 - 12
19 - 12 = 7
Por tanto, comprobamos cuál de las opciones nos da 7
(14 + 5-6) x 2
13 * 2 = 26
(14 + 5) - (6 x 2)
19 - 12 = 7
Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto
y = 7x + 19
-21 x 3y = 57
Answers
Answer:
x= -2 y= -5
Step-by-step explanation:
Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.
Answers
Answer:
Due to;
Sampling variability
Step-by-step explanation:
From the question, we have;
The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%
The number of adults in the sample of the survey = 1,501 adults
The number of adults that responded that it is more enjoyable to be married than single = 1,126
According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion
Last year Rikki sang 960 songs with his rock band. How many songs did he sing per month? How did you get your answer?
Answers
960/12 (months) = 80 (songs per month)
Select the graph that correctly represents the
armount of money. y. Jack earns doing
chores for x hours at $2 an hour if he works
for a maximum of 8 hours.
Answers
Answer: C
Step-by-step explanation: Because 2 times 1= 2 2times 2=4 2 times 3=6 etc...
2. Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.
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Answer:
14.04
Step-by-step explanation: :)
can someone help me with this tooo !
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24 is what percent of 48
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Answer:
11.76
Step-by-step explanation:
j
Find the mistake(s) in the problem below. Correct the mistake to find the correct area.
The radius of a circle is 53 mm.
r=53
53 divided by 2=26.5
d=26.5
A=3x26.5 squared
A=79.5
The area of the circle is79.5mm
Answers
Answer:
QFQF
Step-by-step explanation:
FAFAF
What is the area of this composite figure??
Answers
Answer=53
Step-by-step explanation:
In 6 months, the membership of the fitness company went from 3500 to 4200. What was the percent of increase in the membership
Answers
Answer:
20% increased
Step-by-step explanation:
10/√149
PLZ HELP IVE BEEN STUCK ON THIS PROBLEM FOR AGES
!!!!!FRACTION FORM NEEDED, NOT DECIMAL FORM!!!!!!
Answers
/frac{10 }{ \sqrt{149} } = \frac{10}{12.20} = 0.8192
first of all find the square root of 149 and 10 is divided by 12.20which is the square root of 149 and you get your answer.The fraction form is 512/625
Answer:
Step-by-step explanation:
[tex]\sqrt{149}\text{ is irrational. Though it is customary to rationalize the denominator.}\\ \\ \left(\frac{10}{\sqrt{149}}\right)\frac{\sqrt{149}}{\sqrt{149}}\\ \\ \frac{10\sqrt{149}}{149}[/tex]
Madeline needs to find the slope of the line that passes through the points (9, 12) and (7,4) she sets up the following work
Answers
Answer:
4Step-by-step explanation:
The slope of the line passing through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(9, 12) ⇒ x₁ = 9, y₁ = 12
(7, 4) ⇒ x₂ = 7, y₂ = 4
So, the slope:
[tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]
Solve this question :
Answers
9514 1404 393
Explanation:
For proofs of this nature, it often works well to replace everything possible with appropriate equivalents. Here, we'll use sin² to represent sin²(A), and equivalent notation for other trig functions.
We will change the left side to the form of the right side.
[tex]\displaystyle \frac{\tan^2-\cot^2}{1+\cot^2}=\frac{\sin^2-\cos^2}{\cos^2}\\\\=\frac{(\sec^2-1)-(\csc^2-1)}{\csc^2}\\\\=(\sin^2)(\sec^2-\csc^2)\\\\=\frac{\sin^2}{\cos^2}-1=\frac{\sin^2-\cos^2}{\cos^2}\qquad\text{Q.E.D.}[/tex]
__
The equivalents (identities) used are ...
1+tan² = sec²
1+cot² = csc²
1/csc = sin
sec = 1/cos
WORTH 24 POINTS PLS HELP
On the blueprints for a new house, a wall measures 3.5 inches. If the map scale is 1.25 inches to 2 feet, how long will the actual wall be?
Answers
Answer:A unit rate is a comparison of two measurements, one of which has a value of ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. Unit scales and proportions can be used to calculate actual distances from maps, drawings, ...
Step-by-step explanation:
Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine puts in $12. The rest of the group splits the bill equally. Which equation and solution represent the amount a that each of the remaining people pay?
Answers
Answer:
i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
ii. Remaining people would pay $10 each.
Step-by-step explanation:
Total number of people involved = 6
Total bill of their lunch = $72
Mary and Josephine paid = $20 + $12
= $32
The remaining bill to be paid = $72 - $32
= $40
The rest of the group = 4
Splitting the remaining bill equally,
the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]
= ($40) ÷ 4
= $[tex]\frac{40}{4}[/tex]
= $10
The amount that each of the remaining people would pay is $10.
A pack of 8 batteries costs £4.99.
How much does each battery cost?
Give your answer to the nearest penny.
Answers
Answer:
0.62
Step-by-step explanation:
4.99/8=0.62
i need help asap pls
Answers
Answer:
Work out the Area of the figure, then multiply that answer by $25.
someone pls help! mathematics.
bot answers/nonsense = reported
----------------
The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?
an = 4 · ( ) n - 1
an = 2 · 4 n - 1
an = 32 · 2 n - 1
an = 4 · 2 n - 1
Answers
Answer:
a(n) = 4*(2)^(n - 1)
Step-by-step explanation:
The correct version of this formula is a(n) = a(1)*r^(n - 1). Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.
Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).
Then the correct formula for this geometric sequence is
a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.
Answer:
a(n) = 4*(2)^(n - 1)
Step-by-step explanation:
The correct version of this formula is a(n) = a(1)*r^(n - 1). Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.
Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).
Then the correct formula for this geometric sequence is
a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.
hey could somebody help me please :)
Answers
Answer:
Cut them in smaller shapes then find area
Step-by-step explanation:
1.
A. 4.4%
B. 104.1%
C. 4.2%
D. 0.042%
Answers
Answer:
D. 0.042%
Step-by-step explanation:
YOUR ANSWER
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Text form: T*hef*or*mu*lar=A^P-1g*iv*est*hei*nt*er*es*tr*at*er simplifies to T*hef*or*mu*lar-A^P+g*iv*est*hei*nt*er^2*es*tr*at=0
Cartoon (animation) form:
For tutors: simplify_cartoon( T*hef*or*mu*lar=A^P-1g*iv*est*hei*nt*er*es*tr*at*er )
If you have a website, here's a link to this solution.
DETAILED EXPLANATION
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Result: T%2Ahef%2Aor%2Amu%2Alar-A%5EP%2Bg%2Aiv%2Aest%2Ahei%2Ant%2Aer%5E2%2Aes%2Atr%2Aat=0
The measure of one interior angle of a parallelogram is 5 times the measure
of another angle. What's the measurement of the larger interior angle?
Answers
Answer:
Step-by-step explanation:
The sum of these adjacent angles must sum to 180 degrees (also the sum of all angles must be 360)
a+5a=180
6a=180
a=30
The larger angle is 5a so the larger angle is
5(30)=150 degrees.
how many times can 10 go into 111?
Answers
Answer:
11 times
Step-by-step explanation:
hope this helps
Answer:
11.
Step-by-step explanation:
10 x 10 = 100
10 x 11 = 110
10 x 12 = 120 which is too much so its the one above.
please answer 1-8 godbless
Answers
Answer:
1. A
2. D
3. B
4. B
5-6. B
7. D
8. D
A 12-ounce box of cereal costs $3.60. Which equation correctly relates the price (p) with the weight (w) of the cereal?
Answers
Answer:
A. P = 3.3w
Step-by-step explanation:
A. P = 3.3w
B. P = 0.3w
C. P = 3.6w
D. P = 12w
P = price of the cereal
w = weight of the cereal
p = $3.60
w = 12-ounce
3.60p = 12w
Divide both sides by 3.60
3.60p / 3.60 = 12w / 3.60
P = 3.3w
The correct answer is A. P = 3.3w
Someone help me with what p and q equals?
Answers
It’s a parallelogram so the side opposite are the same.
6 = q - 3
Subtract 3 and add it to 6 and you get 9
9=q
2
Help what is the product of 46x10
Answers
Answer:
460
Step-by-step explanation:
Answer:
460
Step-by-step explanation:
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answers
Answer:
I think the last one is the answer
plssssssssssssssssssssssssssss
Answers
Answer:
D) 2275
Step-by-step explanation: