Answer:
They are neither perpendicular nor parallel.
Step-by-step explanation:
Find the gradient of 2x + 6y = 42 by rearranging it in the form y = mx + c:
6y = -2x + 42
y = -(1/3)x + 7
The gradient is the co-efficient of x
Therefore the gradient is -(1/3)
The gradient of y = 2x - 1 is 2.
If they were parallel they would have the same gradient.
If they were perpendicular then the gradient of one would be the negative reciprocal of the other, e.g: if one was 2, the other would be -(1/2).
Neither of these are true, so they are neither perpendicular nor parallel.
The lines 3x+6y=42 and y=2x-1 are perpendicular
Two lines are parallel if they have equal slope
Two lines are perpendicular if the product of their slopes equals -1
The given lines are:
3x+6y=42 and y=2x-1
Rewrite each of the equations in the form y = mx + c
For line 3x + 6y = 42:
[tex]6y = -3x + 42\\\\y=\frac{-3}{6} x+\frac{42}{6}\\\\y=-0.5x+7[/tex]
The slope, m₁ = -0.5
For line y = 2x - 1
The slope, m₂ = 2
Since m₁ ≠ m₂, lines 3x+6y=42 and y=2x-1 are not parallel
m₁ m₂ = -0.5(2)
m₁ m₂ = -1
Since the product of the slopes equals -1, the lines 3x+6y=42 and y=2x-1 are perpendicular
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−5w−2w+3w=9 whats w
help
Answer: w = -9/4
Step-by-step explanation:
After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 2000 meters below the surface of the water, and ascend at 57 meters per hour.
Answer:
35.09hours
Step-by-step explanation:
Since we are not told what to find, we can as well look for the time it took to ascend
Given
Distance below surface of water = 2000m
Speed = 57m/hr
Required
Time
Using the formula;
Speed = Distance/Time
Time = Distance/Speed
Time = 2000/57
Time = 35.09hours
Hence it took 35.09hours to ascend
Algebra 2. solve each equation. remember to check for extraneous solutions
(p-2)/(p-4)=(p^2-6P)/(P-4) - (P+5)
Answer:
p=11/4
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable p .
La temperatura sube 15 grados Fahrenheit y luego baja 8 grados.Si la temperatura comenzará, -11 grados Fahrenheit.¿ que cambio de temperatura se requeriría para llevar la temperatura a 0 grados
Answer:
ok
Step-by-step explanation:
yes
Given: Quadrilaterals ABCD ~ EFGH , with measure of angle A = 47 degrees, measure of angle B = 39 degrees, and measure of angle C = 112 degrees. Find: Measure of angle F and measure of angle H.
Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.
Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.
In quadrilateral ABCD:
∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)
Substituting:
47 + 39 + 112 + ∠D = 360
∠D + 198 = 360
∠D = 360 - 198
∠D = 162°
The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:
∠A = ∠E = 47°
∠B = ∠F = 39°
∠C = ∠G = 112°
∠D = ∠H = 162°
How many solutions does this system of equations have?
None
Exactly two
Exactly one
Infinitely many
Graph of a system of linear equations. Equation 1 is negative x plus 2y equals 6. Equation 2 is negative x plus 2y equals 0. The graphs of the lines are parallel.
Answer:
None
Step-by-step explanation:
If i'm being honest i don't remember why it was none when I took the quiz but I had a reason for choosing none and its correct. I promise
Answer:
none
Step-by-step explanation:
sorry I know everyone already knows but I could use the 20 points
Solve: 3,125 = 5–10 + 3x
Answer:
x = 3130/3
Step-by-step explanation:
3125 -5 +10 = 3X
3130 = 3x
x = 3130/3 or 1043 1/3
Which of these expressions is equivalent to -2(x−5)?
-2x−5
-2x+5
-2x+10
-2x−10
Answer:
c. -2x+10
Step-by-step explanation:
distributive property
(-2)x-(-2)5= -2x-(-10)
keep change change
-2x+10
where the answer is -2x+10
Answer:
-2x-10
Step-by-step explanation: so WE CAN SLOVE THIS EQUATION BY distrubutive property, -2 times x = -2x, we got 1 part of the equation. Now we distrubute -2 and -5.
-2 x -5 = -10.
So we get = -2x-10
A puppy's weight increases by 15% each week for the first 6 months. The puppy currently weighs 3.7 pounds. Which expression will not calculate how much the puppy will weigh in 1 week?
Answer:
y=3.7+0.15(1)
Step-by-step explanation:
Note we are not given the options to choose from in this question, let us solve for the answer directly
Step one:
given data
The puppy's weight increases by 15% each week for the first 6 months
=0.15
The puppy currently weighs 3.7 pounds
Step two:
let the number of weeks be x
and the weight after x weeks be y
so
y= 3.7+0.15x
after 1 week the expression to calculate the weight is
y=3.7+0.15(1)
Is the quotient for 36 ÷ 0.6 greater than or less than 36? Explain your answer
Answer: Greater than
Step-by-step explanation:
36/0.6 = 60
60 is more than 36
evaluate the expression 9!/6!
A: 54,000
B: 2!
C: 3/2
D: 504
Answer: D) 504
Step-by-step explanation:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Using this, we can rewrite the initial expression as:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 6 x 5 x 4 x 3 x 2 x 1
We can see that 6 x 5 x 4 x 3 x 2 x 1 is in both the numerator and the denominator, so we can cancel it out, leaving us with 9 x 8 x 7 which equals 504.
what is the slope of points (3,5) and (-1,-7)
Answer:
slope is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Help me please 40 points for this math question
Answer: The answer is C
Step-by-step explanation:
The original price of the shirt is $50 but you paid $30 for it on sale what was the percentage change in price
40% was the percentage change in price.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, The original price of the shirt is $50 but you paid $30 for it on sale
From the general formula of percentage change:
Percentage change = change in value / original value * 100
In our case,
Original value = 50
Change in values = 50 - 30
Change in values = 20
Percentage change = 20/50 * 100
Percentage change = 40
Therefore, the percentage change in price was 40%.
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Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true? Check all that apply.
2 dots plots. A dot plot titled Number of hours spent on social networks goes from 0 to 4.5. 0 has 3 dots, 0.5 has 5 dots, 1 has 2 dots, 2.5 has 4 dots, 3 has 3 dots, 3.5 has 1 dot. A dot plot titled Number of hours spent on homework goes from 0 to 4.5. 0 has 1 dot, 0.5 has 1 dot, 1 has 4 dots, 1.5 has 8 dots, 2 has 3 dots, and 4.5 has 1 dot.
The mean number of hours spent on each activity are equal.
There is a greater variability in the hours spent on social networks.
The average student spends more time on homework than on social networks.
The range for the number of hours spent on homework is greater.
Students are more consistent in the time spent on homework than the time spent on social networks
Answer:
The answers are at A, D, and E
Step-by-step explanation:
It's right on Edge
Answer:
hes right ↑
Step-by-step explanation:
PLZZZ HELPPP!!!!!!!!!!
Hello!
[tex]\large\boxed{2x + y = 3}[/tex]
Begin by finding the slope that would be perpendicular to the given equation.
A perpendicular line has a slope that is the opposite reciprocal of the original. Therefore:
1/2 --> -2
Find the answer choice that contains a slope of -2 when rewritten in the form y = mx + b:
Choice 1:
x + 2y = 2
Move x to the other side:
2y = -x + 2
Divide both sides by 2:
y = -1/2x + 1. This choice is incorrect.
Choice 2:
x - 2y = -12
Move x to the other side:
-2y = -x - 12
Divide both sides by -2:
y = 1/2x + 6. This choice is incorrect.
Choice 3:
2x + y = 3
Move 2x to the other side:
y = -2x + 3. This contains a slope of -2, which is correct.
Choice 4:
y - 2x = -5
Move -2x to the opposite side:
y = 2x - 5. This contains a slope of positive 2, so it is incorrect.
The correct answer is 2x + y = 3.
Answer:
D. y-2x=-5
Step-by-step explanation:
Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks of butter does Tom need in order to bake a total of 42 cakes?
Answer in the number of additional sticks of butter.
Answer:
since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes
M is the midpoint of AN, A has coordinates
(7,-4), and M has coordinates (3,2). Find
the coordinates of N.
Explain??
Divide. Write your answer in fraction form.
(5x+ + 18x+ 15) / (x+2)
Answer:
what? it seems like you just spammed anything from the web O_o
Step-by-step explanation:
Select the correct answer.
Mateo teaches a continuing education class at the library on Tuesday nights. He estimates that 75% of his students are satisfied or very satisfied with the class.
Last week, he asked a random sample of students to take a survey on their experience in the class. However, the results showed that only 70% indicated that they are satisfied or very satisfied with the class. He decides to randomly survey more of his students. How will Mateo know whether his model is valid or not?
A.
It is valid if the result from all the surveys and the model get closer together.
B.
It is impossible to determine whether the model is valid.
C.
It is valid if the result from all the surveys and the model stay the same.
D.
It is valid if the result from all the surveys and the model get farther apart.
Answer:
A
Step-by-step explanation:
Getting closer together means that both are becoming more accurate.
A valid model is such model whose calculated value approximates to the actual value. If it doesn't approximate to the actual value, it must be close to the actual value.
The model is valid if the results from the survey are close enough, together.
Given that:
[tex]p_1 = 75\%[/tex] -- the actual estimation of satisfied students
[tex]p_2 = 70\%[/tex] -- the second estimation of satisfied students
For a model to be valid, the calculated value must be close to the actual value.
If after Mateo's survey of more students, the result of satisfied or very satisfied students is still close to 75%, then Mateo's model is valid.
If otherwise, then the model is invalid.
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Sorry for annoying you guys just need answers
sin∅=√3-1/2 find approximate value of sec∅(sec∅+tan∅)/1+tan²∅
Answer:
The approximate value of [tex]f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}[/tex] is 1.366.
Step-by-step explanation:
Let [tex]f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}[/tex], we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (1)
[tex]\tan\theta = \frac{\sin\theta}{\cos \theta}[/tex] (2)
[tex]\cos^{2}+\sin^{2} = 1[/tex] (3)
Then, we simplify the given formula:
[tex]f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }[/tex]
[tex]f(\theta) = \frac{\left(\frac{1}{\cos^{2} \theta} \right)\cdot (1+\sin \theta)}{\frac{\sin^{2}\theta + \cos^2{\theta}}{\cos^{2}\theta} }[/tex]
[tex]f(\theta) = \frac{\left(\frac{1}{\cos^{2}\theta}\right)\cdot (1+\sin \theta)}{\frac{1}{\cos^{2}\theta} }[/tex]
[tex]f(\theta) = 1+\sin \theta[/tex]
If we know that [tex]\sin \theta =\frac{\sqrt{3}-1}{2}[/tex], then the approximate value of the given function is:
[tex]f(\theta) = 1 +\frac{\sqrt{3}-1}{2}[/tex]
[tex]f(\theta) = \frac{\sqrt{3}+1}{2}[/tex]
[tex]f(\theta) \approx 1.366[/tex]
Select the correct locations on the graph.
Select the lines that represent functions.
All the lines given represent functions except the vertical line given which is attached below.
What is a Function?In a function, every x-values has only one possible y-value. Two x-values can have the same y-value but one x-value cannot have two different y-values. That is why a vertical line graph cannot in anyway represent a function.
An horizontal line graph is a constant function graph. Thus, all the lines represent functions except the vertical line that is attached below.
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Answer:
the diagonal line is a function and the line going from left to right is a function :)
Step-by-step explanation:
From the sum of 2x-y+z and 2y -10, subtract 4x-2y-11
Answer:
-2x + 3y + z + 1
Step-by-step explanation:
There were 120 students at the creative shop writing workshop last year. This year there are 138 students. What is the percent of increase in the number pf students at the workshop?
Answer:
258
Step-by-step explanation:
Here is a picture of a circle. Each square represents 1 square unit.
Explain why the area of the circle is less than 4 square units.
Answer:
No picture?
Step-by-step explanation:
i need a picture to anwser
PLEASE HELPPPPPP I NEED IT DONE BY 3 OR 4
Complete the proof that AFGH isn't similar to AJIH.
At an expected rate of return of 7% compounded semi-annually, what is the expected percentage growth of a portfolio after 4 years?
Answer:
The expected growth is 17.2%
Step-by-step explanation:
Let us have a present initial value of 500
we then proceed to get the value after 4 years
We use the compound interest formula to get the amount
That will be;
A = P( 1 + r/n)^nt
P = 500
r = 4% = 4/100 = 0.04
n is 2: semi annually means twice per year
t is 4
So
using the formula, we have that;
P = 500(1 + 0.04/2)^(2 * 4)
= 500(1.02)^8
= 586 approximately
So the percentage growth rate is as follows
(586-500)/500 * 100
= 86/500 * 100 = 17.2%
A recipe calls for 2 cups of water for every 3 cups of flour. How much water is needed if you use 12 cups of flour?
Answer:
8
Step-by-step explanation:
Answer:
8 cups of water
Step-by-step explanation:
2 cups of water = 3 cups of flour
x cups of water = 12 cups of flour
12/3=4
2x4= 8