Are the given lines parallel, perpendicular, or neither? Hint: graphing this one may help.x = 3 y = − 2
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Parallel lines have the same slope, and they don't cross each other.
Perpendicular lines meet up at a right angle (90°)
Graph each one;
Since both lines cross each other at a right angle, they are perpendicular lines.
Related Questions
PART BGiven 10 < 12, write the inequality obtained by(a) Adding 2 to each side of the given inequality(b) Subtracting 12 from each side of the given inequality.(c) Multiplying each side of the given inequality by 2(d) Multiplying each side of the given inequality by-3Add 2 to each side of the given inequality.Subtract 12 from each side of the given inequality
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INFORMATION:
The next inequality is given
[tex]10<12[/tex]And we must subtract 12 from each side
STEP BY STEP EXPLANATION:
To solve the problem, we need to subtract 12 from each side of the given inequality
[tex]10-12<12-12[/tex]Finally, simplifying we obtain
[tex]-2<0[/tex]ANSWER:
-2 < 0
Directions in pic. Must answer in integers only. Or reduced fractions. NO DECIMALS
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Answer:
[tex]y\text{ = -}\frac{1}{3}[/tex]Explanation:
Here, we want to solve the given equation for y
The approach to this is to make sure we have equal bases on both sides
Thus, we have it that:
[tex]8^{6y+4}=8^2[/tex]From here, we have to equate the powers since we have same base on both sides
Thus, we have it that:
[tex]\begin{gathered} 6y\text{ + 4 = 2} \\ 6y\text{ = 2-4} \\ 6y\text{ = -2} \\ y\text{ = -}\frac{2}{6}\text{ = -}\frac{1}{3} \end{gathered}[/tex]Which is not a step in finding the scale factor of dilation
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1)To find a Scale factor of Dilation, about the origin
We have
Pre-mage Image
(x, y) k(x,y)
For example
Pre-image Image
(2,4) 2(2,4) = (4,8)
2)When it's not about the origin then we have to count from the Projection Point
Having said this, ex
Which is not a step
a)
We can divide the x value of the image over the pre-image, not the way around.
In the example, I've given if we divide the pre-image over the image value we would have found a scale factor of 1/2. In the example, The scale factor was the inverse: 2
true or false? the graph of an inequality with < or > is a closed half plane
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FALSE
Explanations:What is a graph of inequality?Graph of inequality involves shading one of the side of a boundary which mainly involves dividing coordinates into two planes.
The inequality signs are the <, >, ≤ or ≥. If the inequality sign is a “≤” or “≥”, then the graph will represent a closed half-plane whereas if the inequality of a graph is < or >, the graph will represent an open half-plane.
Based on the explanation above, we can conclude that the statement that the graph of inequality with < or > is a closed half-plane is FALSE
The circle below has center C. Suppose that m
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Shinshia, this is the solution to the problem:
a. mDE = 68 degrees
b. m EDF = 24 degrees
Ok, let's review the calculations once again.
Answer:
a. mDE = 68 degrees
b. m EDF = 24 degrees
Step-by-step explanation:
A town had a population of 5,020 people in 2010. By 2020, the town increased its population to 7,150. What is the percent increase in population, to the nearest whole percent?
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To find the percent increase, take the new population and subtract the original
Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 72 inches and the standard deviation is 3 inches, 68% of the population will have a height within which range? O A. 69 inches to 75 inches O B. 63 inches to 81 inches O c. 60 inches to 84 inches D. 66 inches to 78 inches
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Remember the Empirical Rule, wich states that 99.7% of the measurements would be within 2 standard deviations of the mean
0. Multiply the standard deviation by 2: 3X2=6
,1. Subtract 6 from the mean: 72-6=66
,2. Add 6 to the mean: 72+6=78
Therefore, the answer is: 66in - 78in
(Option D)
I'm having trouble solving this simultaneous equation4a – 5b = 52a – 3b = 2
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Given:
[tex]\begin{gathered} 4a-5b=5\ldots\ldots\ldots(1) \\ 2a-3b=2\ldots\ldots\ldots(2) \end{gathered}[/tex]To solve for a and b:
Multiply equation (2) by 2 we get,
[tex]4a-6b=4\ldots\ldots\ldots(3)[/tex]Subtract equation (3) from (1) we get,
[tex]b=1[/tex]Substitute b=1 in equation (2) we get,
[tex]\begin{gathered} 2a-3(1)=2 \\ 2a=2+3 \\ 2a=5 \\ a=\frac{5}{2} \end{gathered}[/tex]Hence, the value of a and b are,
[tex]\begin{gathered} a=\frac{5}{2} \\ b=1 \end{gathered}[/tex]What is the area of a sectorwhen r:5/6and 0=2/3 radians?
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Given:
Radius = 5/6
Angle
[tex]\theta=\frac{2\pi}{3}\text{ radians}[/tex]Required:
Find the area of the sector.
Explanation:
The area of the sector is given by the formula:
[tex]A=\frac{1}{2}r^2\theta[/tex]Substitute the given values in the formula.
[tex]\begin{gathered} A=\frac{1}{2}\times(\frac{5}{6})^2\times\frac{2\pi}{3} \\ =\frac{1}{2}\times\frac{25}{36}\times\frac{2\pi}{3} \\ =\frac{25\pi}{108}\text{ sq unit} \end{gathered}[/tex]Final Answer:
Thus the area of the sector is
[tex]\frac{25\pi}{108}[/tex]There are 60 athletes at a meeting. Theyeach shake hands with everyone else.How many handshakes were there?
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Answer:
1,770 handshakes
Explanation:
The number of athletes = 60.
Handshakes occur with 2 people at a time so we must count the number of possible unique pairings.
• Thus, first, each person shakes 59 people.
,• But to get the number of unique handshakes, divide the result by 2.
Therefore, in general for pairs, the number of unique handshakes is determined using the formula:
[tex]^nC_2=\frac{n(n-1)}{2}[/tex]When n=60
[tex]\text{The number of handshakes}=\frac{60(60-1)}{2}=30\times59=1770[/tex]There are 1,770 handshakes.
At the beginning of a population study, a had 270.000 people. Each year since, the population has grown by 3.8% Let be the number of years since start of the study. Let be the city's population. Write an exponential function showing the relationship between y and
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Given:
Initial population = 270000
rate of growth per year = 3.8% = 0.038
t = number of years
y = city's population
To find:
the exponential function showing the relationship between y and t
To determine the relationship, we will apply the exponential function formula:
[tex]\begin{gathered} y\text{ = a\lparen1 + r\rparen}^x \\ The\text{ sign is positive because it is a growth} \end{gathered}[/tex][tex]\begin{gathered} a\text{ = 270000} \\ r\text{ = 0.038} \\ x\text{ = t} \\ y\text{ = y} \\ \\ substitute\text{ the values into the formula:} \\ y\text{ = 270000\lparen1+0.038\rparen}^t \end{gathered}[/tex][tex]\begin{gathered} The\text{ relationship between y and t:} \\ y\text{ = 270000\lparen1.038\rparen}^t \end{gathered}[/tex]25% of 47 is what number?
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Answer: 11.75, 47/4, 3
11 ----
4
Calculate; 25%x47
Hi, I'm struggling with solving Linear equations and formula, e.g. 3(2x +y) =5y + 3 for Y? Can you assist me with the specific step to arrive at the answer? Thanks
Answers
To solve
[tex]3(2x+y)=5y+3,[/tex]for y. First, we apply the distributive property on the left of the equation:
[tex]3\cdot2x+3y=5y+3.[/tex]Simplifying we get:
[tex]6x+3y=5y+3.[/tex]Now, we subtract 6x from the above equation:
[tex]6x+3y-6x=5y+3-6x\text{.}[/tex]Simplifying we get:
[tex]3y=5y-6x+3.[/tex]Subtracting 5y, we get:
[tex]\begin{gathered} 3y-5y=5y-6x+3-5y, \\ -2y=-6x+3. \end{gathered}[/tex]Finally, dividing by -2, we get:
[tex]y=\frac{-6x+3}{-2}=\frac{6x-3}{2}\text{.}[/tex]Answer:
[tex]y=\frac{6x-3}{2}\text{.}[/tex]Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1 < x < 5. C 0 3 1 9 2 27 3 81 4 243 5 729
Answers
In the interval
[tex]1\le x\le5[/tex]we can see that
[tex]\begin{gathered} x=1\Rightarrow y=f(x)=9 \\ x=2\Rightarrow y=f(x)=27 \\ x=3\Rightarrow y=f(x)=81 \\ x=4\Rightarrow y=f(x)=243 \\ x=5\Rightarrow y=f(x)=729 \end{gathered}[/tex]in ordet to find the average rate of change, we must compute the slope m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where, we can choose 2 point of the above set. For instance,
[tex]\begin{gathered} (x_1,y_1)=(1,9) \\ \text{and} \\ (x_2,y_2)=(5,729) \end{gathered}[/tex]Hence,
[tex]\begin{gathered} m=\frac{729-9}{5-1} \\ m=\frac{720}{4} \\ m=180 \end{gathered}[/tex]therefore, the average rate of change is 180
A package of 10 blank videotapes is discounted $6.00, which is 40% off of the original price. What was the original price? The original price was $
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We know that
$6.00 represents 40% of the original price.
To find the original price, we use the following proportion
[tex]\begin{gathered} \frac{6}{0.40}=\frac{x}{1} \\ x=15 \end{gathered}[/tex]Hence, the original price is $15.if the measure of angle ABD is 90 and the measure of angle ABC Is 74". What is the measure in degrees of angle CBA? help fast pls
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CBA + 74 = 90 (Right angle)
CBA = 90 - 74
CBA = 26
continue in question 18(but with 3)
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• You know that the sales tax rate for Morgan County is 5.95%
To write it as a Decimal number, you need to divide it by 100:
[tex]\frac{5.95}{100}=0.0595[/tex]To calculate the state sales tax on the $15,700 car in Morgan County, you need to apply this operation:
[tex](15,700dollars)(0.0595)=934.15dollars[/tex]• Therefore, the final cost of the car in Morgan County, including tax, can be found as following:
[tex]15,700dollars+934.15dollars=16,634.15dollars[/tex]• Subtract the final cost of the car in South Salt Lake (including tax) and the final cost of the car in Morgan County (including tax), in order to calculate the amount of money you would save by driving to Morgan County to purchase the car:
[tex]16,806.85dollars-16,634.15dollars=172.7dollars[/tex]The answers are:
• State sales tax on the $15,700 car in Morgan County,: ,$934.15
,• Final cost of the car in Morgan County:, ,$16,634.15
,• You would save ,$172.7
Select the correct answer from each drop-down menu.EThere are seven lines of reflection across which the regular polygon ABCDEFS can reflect to map onto itself. One of them is a
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Solution
Perpendicular Bisector
line segment AB
find the average rate of change of the function over the given interval . Please help and god bless
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To calculate the average rate of change of the function we need to take the difference between the two extremes of the interval and divide it by the length of the interval. In this case the interval goes from -1 o 1, therefore we need to find he difference "f(1) - f(-1)" and divide it by 2. Which is done below.
[tex]\begin{gathered} d_{\text{avg}}=\frac{f(1)-f(-1)}{1-(-1)} \\ d_{\text{avg}}\text{ = }\frac{(1)^2+2-(-1)^2-2}{1+1} \\ d_{\text{avg}}=\frac{1+2-1-2}{2}=0 \end{gathered}[/tex]The average rate of change of this function over tha interval is 0.
Find the give term in the expanded form of the binomial?.
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According to the binomial theorem, the k-th term of the binomial expansion of (a+b)^n is:
[tex]\begin{pmatrix}n \\ k\end{pmatrix}a^{n-k}b^k[/tex]Where k is an index that starts at 0 and ends at n.
To find the term number2 of (3y+1)^5, replace a=3y, b=1,n=5 and k=2:
[tex]\begin{gathered} \begin{pmatrix}5 \\ 2\end{pmatrix}(3y)^{5-2}(1)^2=10\cdot(3y)^3(1) \\ =10\cdot3^3y^3 \\ =30y^3 \end{gathered}[/tex]Therefore, the term 2 of the expanded form of the binomial (3y+1)^5 is 30y^3.
(6,0)46Which equation matches the graphed line?(0,4)Ay = -4x + 6By = 2/3x - 4сy = 6x-4Dy = 3/2x - 4
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From the equation
[tex]y=\frac{3}{4}x+2[/tex]We can conclude that the y-intercept is 2
Now, let's find the x-intercept:
[tex]\begin{gathered} 0=\frac{3}{4}x+2 \\ \rightarrow-2=\frac{3}{4}x\rightarrow-8=3x\rightarrow-\frac{8}{3}=x \\ \\ \Rightarrow x=-\frac{8}{3} \end{gathered}[/tex]Now, the x-intercept is around -2.67
The only graph that has both the x and y intercepts we've calculated is the one from option A
Answer: A
help me..............12 = y - 11
Answers
Given the equation:
12 = y - 11
Let's solve for y.
To find y, we have:
Step 1:
Rewrite the equation
y - 11 = 12
Step 2:
Add 11 to both sides of the equation
y - 11 + 11 = 12 + 11
y + 0 = 23
y = 23
ANSWER:
y = 23
If the triangles are similar, what is the scale factor of ABC to DEF?
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The scale factor is 15/6 = 5/2
or 10/4 = 5/2
How would you write using a positive exponent? 0 A 1 B 256 O C. 256 D - 256
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we have
1/256^-4
Remember the rule
1/a^-n=a^n
therefore
1/256^-4=256^4
Last week, a coral reef grew 19.8 mm taller. How much did it grow in meters? Be sure to include the correct unit in your answer.
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In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
corral:
19.8 mm
Step 02:
units conversion:
[tex]19.8\text{ mm * }\frac{1\text{ m}}{1000\text{ mm}}=0.0198\text{ m}[/tex]The answer is:
0.0198 m
Is 205 greater or less than 250
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The number 205 is less than 250
How to compare the numbers 205 and 250?From the question, the numbers are given as
Number = 205 and 250
When the above numbers are represented on a number line;
We have
205 is to the left of 250
This means that we count 205 before we get to 250
Simply put, both numbers do not have the same value
The interpretation of this is that
250 has a higher value than 205 and 205 is lesser
Hence, the true statement about the numbers 205 and 250 is that 205 is not greater than 250
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
What is the rule for the following sequence? 4.1, 4.6, 5.1, 5.6, 6.1,... A. Add 5 to the previous term. В. Add 0.5 to the previous term. C. Multiply the previous term by 5.D. Divide the previous term by 5.
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Starting from 4.1, notice that if we add 0.5
[tex]4.1+0.5=4.6[/tex]We get the second term. If we do the same,
[tex]4.6+0.5=5.1[/tex]We get the third. Repeating once more,
[tex]5.1+0.5=5.6[/tex]We get the fourth, and so on.
Therefore the rule for the following sequence is
B. Add 0.5 to the previous term.
the ordered pair below is a solution to which equation? (3,15)
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Answer:
the equation that has the ordered pair as its solution is;
[tex]y=5x[/tex]E
We want to find the equation that has its solution as the given ordered pair:
[tex](3,15)[/tex]Let us substitute the value of the x into each equation and see which one gives the correct value of y;
[tex]\begin{gathered} y=5x=5(3)=15\text{ (3,15)} \\ y=3x=3(3)=9\text{ (3,9)} \\ y=\frac{1}{3}x=\frac{1}{3}(3)=1\text{ (3,1)} \\ y=\frac{1}{5}x=\frac{1}{5}(3)=\frac{3}{5}\text{ (3,}\frac{3}{5}) \end{gathered}[/tex]Therefore, from the given options, the equation that has the ordered pair as its solution is;
[tex]y=5x[/tex]The graph of y=x/2 +2 is shown below. use the graph to determine which of the ordered pairs is a solution to the equation.
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To solve this question, we just have to take a look at the graph and see which ones of the points given do belong to it.
This way, we can conclude that the ordered pairs that are a solution to the equation are (-4,0) and (2,3)
answer (-6)² x (-6)⁵
Answers
(-6)² x (-6)⁵
Since both terms have the same base, we can add the exponents:
[tex]\begin{gathered} (-6)^{2+5\text{ }} \\ (-6)^7 \end{gathered}[/tex](-6)^7 = -279,936
