Answer:
x = 14
y = 6
Step-by-step explanation:
*Property*
In a parallelogram:
Opposite sides are equal.
Since, the given figure is a parallelogram we can apply this property and equate:
1) 2y + 1 = 13 2) x = y + 81) 2y + 1 = 13
subtracting 1 from both sides:
=> 2y + 1 - 1 = 13 - 1
=> 2y = 12
dividing both sides by 2:
=> 2y/ 2 = 12/ 2
On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator
On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:
=> y = 62) x = y + 8
We've got the value of y from equation 1).
Substituting it here:
=> x = 6 + 8
=> x = 14Answer:
Hence, we got the values of x and y as:
[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]
5. Which of these points is in the second quadrant?
A. (-3,0)
B. (-4,3)
C. (2, 2)
D. (2,-2)
Answer:
A
Step-by-step explanation:
A is locate in the second quadrant
graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary
I hope this helps you. Give a like
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
h(x) = [tex]x^4[/tex] - 3x² + x
The x-intercept is when h(x) = 0.
0 = [tex]x^4[/tex] - 3x² + x
From the graph, we see that,
The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5
Now,
h(x) = [tex]x^4[/tex] - 3x² + x
h'(x) = 4x³ - 6x
h''(x) = 12x² - 6 (positive)
So,
h(x) has a minimum value.
h'(x) = 0
4x³ - 6x = 0
4x³ = 6x
4x² = 6
x² = 6/4
x² = 3/2
x² = 1.5
x = ±√1.5
x = ±1.22
The minimum values are:
h(1.22) = [tex]x^4[/tex] - 3x² + x = -1
h(-1.22) = [tex]x^4[/tex] - 3x² + x = 1
The local minimum is 1.
From the graph, we see that,
The function is increasing at the interval (-1.5, 0.5) and (1, ∞).
The function is decreasing at the interval (∞, -1) and (0, 1.5).
Thus,
The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.
The local minimum is 1.
Increasing intervals are (-1.5, 0.5) and (1, ∞).
Decreasing intervals are (∞, -1) and (0, 1.5).
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Calculate the measure of the arc PQ.
Answer:
arc PQ = 124°
Step-by-step explanation:
The inscribed angle PRQ is half the measure of its intercepted arc PQ, so
arc PQ = 2 × 62° = 124°
Answer:
124°
Step-by-step explanation:
Inscribed angle PRQ is half the measure of intercepted arc PQ.
1/2(PQ) = 62°
PQ = 124° . . . . . . multiply by 2
PLEASE HURRY 40 POINTS
Answer:
3√5
Step-by-step explanation:
Hope this helps you ......
At 7 P.M., a burning candle is 16 inches tall. At 9:30 P.M., the candle is only 3.5 inches tall. At what rate is the height of the candle decreasing?
Answer: 5 inches per hour or 2.5 inches per half an hour
Step-by-step explanation:
Amount of Time Passed: 2 hours 30 minutes
Difference in Candle Height: 12.5 inches
12.5 / 2.5 = 5 inches
5 inches per hour or 2.5 inches per half an hour
If it is incorrect, please let me know.
Sheldon and Leonard our partners in a business Sheldon makes two dollars in profit for every five dollar that Leonard makes. If together they make a profit of $28 on the first item they sell how much profit does Sheldon make
Answer:
Sheldon makes $8 profitStep-by-step explanation:
The fraction of the profit that belongs to Sheldon is ...
Sheldon / Leonard = 2 / 5
Sheldon / Total = 2 / (2 + 5) = 2/7
Then Sheldon's portion of the $28 profit is ...
Sheldon's profit = 2/7 × $28 = $8
Sheldon makes $8 profit on the first item they sell.
First person to answer will get brainliest and it has to be in 4 or less minutes
Find the area of the parallelogram.
48 square m
20 square m
30 square m
40 square m
Rectangle has length 8.1 and perimeter 28.5 find the width
Answer:
6.15
Step-by-step explanation:
perimeter of a rectangle= 2(Length + width)
perimeter=28.5
length=8.1
28.5=2(8.1+ Width)
28.5=16.2+ 2(Width)
28.5-16.2=2(Width)
12.3=2(Width)
12.3/2=Width
6.15=Width
in this lesson several postulates will help establish a way to draw angles
Answer:
make 90°angle with the help of compase
Show all work pls ty (:
i need help with this!!
Answer:
8x-4<-36+4
8x<-32
----
8
x<-4
Answer:x<-4
Step-by-step explanation:
you would have to show your work and do it step by step and and dont stress about it
The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?
Are the ratios 12:6 and 2:1 equivalent?
Answer:
no
Step-by-step explanation:
https://brainly.com/question/18232055
Answer:
Yes!
Step-by-step explanation:
Here, ratios can be rewritten by fractions.
12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,
2:1 is also [tex]\frac{2}{1}[/tex] which is 2.
To get 12 from 2, you multiply by 6.
Multiply the same thing to the denominator(1), and you get 6. So:
12:6 = 2:1
, find the value of
[tex] {x}^{2} + \frac{1}{ {x}^{2} } [/tex]
[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]
Kylie Jenner's gym membership
costs $150 to sign up and
then charges $3 for each visit.
Kanye West's gym membership costs $130
to sign up and
then charges $5 for each visit.
At how many visits
will they have spent
the same amount of money?
Answer:
The answer to this is 10 visits.
Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.
HELP 15 PNTS.
IF CORRECT, WILL MARK BRILLIANT
Answer:
2nd question 4y is a coefficient
Step-by-step explanation:
4y^2 - 18y + 2
4 is the coefficient 18 is also a coefficient, because of the y, 2 is the constant. when a number has a variable, or a letter, it is a coefficient. 4y^2 is a term, 18y is a term, and 7 is a term. 3 terms with a coefficient of 4. i hope you get it right
Maria's test scores for this semester were: 84, 80, 93, 74, 67, 99, 87, 72, 95, & 98. What is the mean of her test scores (rounded to the nearest whole
percent)?
Answer:
85%
Step-by-step explanation:
Add all the numbers together which gives 849. Divide 849 by 10 because there are ten numbers. This gives 84.9. Round it up to 85%
my Christmas present to you
merry Christmas to you!
what is the slope of the line perpendicular to AB if A(-1,10) and B(5,-2)
The slope of the line that is perpendicular to line AB is: 1/2.
Recall:
If line A has a slope of "-a" and it is perpendicular to line B, therefore, the slope of line B will be the negative reciprocal of line A which is 1/a.Slope (m) = change in y / change in x = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given:
A(-1,10)
B(5,-2)
Slope of AB:
[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]
The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.
Therefore, the slope of the line perpendicular to AB is: 1/2.
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???????? Helppppppppp
In ∆RAM and ∆REP
m<E=m<ALet's check ratio
[tex]\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Hence
option B is correct
Answer:
[tex]second \: one \: is \: correct[/tex]
A. Decide whether the given examples illustrate a constant or a variable.
1. Number of family members in each house
2. Amount of money in the bank every month
3. Number of seconds in a minute
4. Weekly expenses of groceries
5. Number of years in a millennium.
Asynchronous task on introduction to algebraic expressions
B. Make your own algebraic expressions based on the given conditions.
1. A variable
2. A combination of any number and any variable related by exponentiation.
3. A combination of any two variables related by subtraction.
4. A combination of any number and any three variables related by multiplication.
pls answer and help me..
Answer:
a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary
Given the function {f(x)=32-x}^{2}f(x)=32−x 2 , what is f(-5)f(−5)?
Step-by-step explanation:
the description is very difficult to understand with special characters and potential typing errors.
I suspect the definition is
function(x) = 32 - x²
function(-5)function(-5) is then very easily calculated.
we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.
function(-5) = 32 - (-5)² = 32 - 25 = 7
so,
function(-5)function(-5) = 7 × 7 = 49
through: (3, 5), slope = 5/3
Explain please
Step-by-step explanation how to get answer:
Slope is Rise over Run
Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.
For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.
60 is 15% of what number?
Answer:
400 is the number
Step-by-step explanation:
Is means equals and of means multiply
60 = 15% * W
Change to decimal form
60 = .15W
Divide by .15
60/.15 = .15W/.15
400= W
Can someone solve this/give me an answer choice??ASAP if possible
Answer:
Step-by-step explanation:
C is right.
5(a + b + c + d)
when you express it it's gonna be 5a + 5b + 5c + 5d
Suppose you were given this table. Select all of the true statements.
x y
6 3
12 6
18 9
24 12
The ratio of x to y is the slope.
The ratio of y to x is the slope.
The equation of the graph is y = 2x.
The equation of the graph is y = 12
1\2x
Answer:
The ratio of y to x is the slope
The equation of the graph is y = 1/2x
Step-by-step explanation:
In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.
I need help please and explain your answer it’s number 4
Answer:
29
Step-by-step explanation:
Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression
3 * 4^2 - 7 * 4 + 9
3 * 16 - 28 + 9
= 29
Thegreergreertteraloargaaramaits 1>-25-31 >:-2 * 2 A 221 OD. 2.2 O O
Answer:
A
Step-by-step explanation:
PLEASEEEE HELPPPPPP ASAPPPPP
Answer:
7.07
Step-by-step explanation:
Angle M is 63 degrees because all 3 angles must add to 180.
Now use the law of sines:
sin(90)/x = sin(63)/6.3
Cross multiply: 6.3 sin (90) = x sin (63)
Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x
Use a calculator: 7.07