Answer:
16 ==>> Length of PR
4 ==>> Value of A
3 ==>> Value of B
6 ==>> Length of QS
Step-by-step explanation:
==>> Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T
--
==>> Thus the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B [add 3 and subtract B from both sides]
B = 3
A + 4 = 2A [subtract A from both sides]
4 = A
--
==>> Then to find the length of the diagonals: Plug the variables in and add both sides.
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
The correct matching of the elements to their values are:
16 ==>> Length of PR4 ==>> Value of A3 ==>> Value of B6 ==>> Length of QSWhat is a Parallelogram?This refers to the plane that has four sides and their opposite sides are parallel.
Hence, because PQRS is a parallelogram, the diagonals are symmetrically split by a shared midpoint:
This means that the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B
B = 3
A + 4 = 2A
4 = A
Length of the diagonals:
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
Read more about parallelograms here:
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Given f(x) contains the point (-5,6), find the point contained on
f-1(x).
Answer:
[tex]\displaystyle f^{-1}(6) = -5[/tex]
Step-by-step Explanation:
Recall that by the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{, then } f^{-1}(b) = a[/tex]
We are given the function f which contains the point (-5,6). In other words:
[tex]\displaystyle f(-5) = 6[/tex]
Then by the definition of inverse functions:
[tex]\displaystyle f^{-1}(6) = -5[/tex]
Did you know that an unopened 355 mL can of diet Dr. Pepper will float in a lake? That's a fact! However, it's also a fact that an unopened 355mL can of regular Dr. Pepper will sink in that same lake! Based on these two facts, which type of soda is the least dense? Explain your answer.
Answer: An unopened can of Diet Dr. Pepper is the least dense.
Step-by-step explanation:
For a solid object to float in a liquid, it must be less dense.
Let's associate the density of Diet Dr. Pepper with x, Dr. Pepper with y, and lake water with z.
Because of the above fact, x < z, and y > z. Thus, x < z < y, and x < y.
Hope it helps :) and let me know if you want me to elaborate.
Use the Distributive Property to expand the
expression y(9 -0.2x).
Answer:
9y - 0.2xy
Step-by-step explanation:
Answer
9y−0.2yx
Step-by-step explanation:
9 times y = 9y
y times -0.2x = -0.2xy
The body temperature in Fahrenheit of a sheep is modeled by the equation T=0.6sin(π28(t−9))+101.6, where t is the number of hours. To the nearest tenth of a degree, what is the temperature of the sheep when t=3? Do not include the units in your answer. NOTE: The angle is in degrees.
Answer:
101.6
Step-by-step explanation:
The temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.
Given that,
The body temperature in Fahrenheit of a sheep is modeled by the equation,
[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]
where t is the number of hours.
Now, substitute t=3 into the equation;
[tex]T = 0.6sin(\dfrac{\pi }{28} (3-9)) + 101.6[/tex]
[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]
Since, [tex]sin(\dfrac{\pi }{28} (- 6)) = - 0.5637[/tex]
Therefore, the temperature of the sheep when t=3 is:
[tex]T = 0.6sin(\dfrac{\pi }{28} (- 6)) + 101.6[/tex]
[tex]T = 0.6 \times - 0.5637 + 101.6[/tex]
[tex]T = 101.24[/tex]
So, the temperature of the sheep when t = 3 is 101.24 degrees Fahrenheit.
To learn more about the equation visit:
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QUICKKK?!!
Find the slope of the line passing through the points (-7, - 7) and (4,-7).
Slope:
through the points (4,7) and (4, -6).
slope:
Step-by-step explanation:
the line passing through the points (-7, - 7) and (4,-7).
Slope: (-7+7) /(4+7) = 0/11 = 0
this is a horizontal line
through the points (4,7) and (4, -6).
slope: (-6-7) /(4-4) = -13/0 = oo
this is a vertical line
If a car travels 200km in 2.5 hours, how far would it travel in 6 hours at the same rate of speed?
Answer: 480
Step-by-step explanation:
To solve this, you need to set up a proportion: 200/2.5 x/6
The 200 represents the km, and the 2.5 and 6 represent the hours. You can either solve this by multiplying 200 by 6 and setting it equal to 2.5 by x then solving for x, or you can find the rate the car travels in km in one hour. To do that, you divide 200 by 2.5 and get 80: this is your km per hour. Then you multiply that to 6 to see how far the car will go in 6 miles if it continues at the speed of 80 km per hour.
Answer:
Answer: 480 km
Step-by-step explanation:
As we know that if we keep speed or velocity constant, distance is directly proportional to time.
• In the first case:
[tex]{ \rm{d_{1} = kt _{1}}}[/tex]
d1 is 200 kmt1 is 2.5 hoursk is a constant of proportianality• Substitute the variables with their respective values to find the value of constant, k
[tex]{ \rm{200 = (k \times 2.5)}} \\ \\ { \rm{k = \frac{200}{2.5} }} \\ \\ { \underline{ \rm{ \: \: k = 80 \: km {h}^{ - 1} \: \: }}}[/tex]
• In the second case
[tex]{ \rm{d _{2} = kt _{2} }}[/tex]
d2 is what we needt2 is 6 hoursk is 80 kmh-¹[tex]{ \rm{d _{2} = (80 \times 6)}} \\ \\ { \boxed{ \boxed{ \rm{ \: \: d _{2} = 480 \: km \: \: }}}}[/tex]
Help asap!!! I will give brainliest, see attached screenshots!
Answer:
sorry I only know the first page but i couldn't just comment it because of the squares
in order
[tex](3bc)^{2}[/tex]
[tex](10mn^{3})^{2}[/tex]
Evaluate [-3c] for c = 4.2
Hey there!
Guide
• 2 Negatives = [Positive]
• 1 positive & 1 negative = [Negative]
• 2 positives = [Positive]
• 1 negative & 1 positive = [Negative]
° So, this means that your answer most likely will equal a NEGATIVE number because you have 1 NEGATIVE (-3) number and 1 POSITIVE (“c” or 4.2) number.
-3c
= -3(4.2)
= -12.6
Therefore, your answer is: -12.6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Choose
The.........is writing the number in any way. (number or digit or numerical form)
Answer:
The...digit......is writing the number in any way.
solve pls brainliest
Answer:
a. 68℉ higher
b. -15℉
Step-by-step explanation:
a. [tex]42-(-26)=68[/tex]
b. [tex]-26+11=-15[/tex]
Estimate the cost of 3.2 pounds of apples.
The cost of 3.2 pounds of apples is about
Answer:
It is about 6 pounds!
Exactly is 6.4 pounds!
Step-by-step explanation:
round 3.2 to 3 and the other 3.2 to 3 as well and add to equal 6
EXACT: 3.2 + 3.2 = 6.4
Djrjdjejciejfiejcjejdjejxj
Answer:
Djrjdjejciejfiejcjejdjejxj
How many DECIMAL PLACES are in this problem: 0.02 x 32.4
Answer:
0.648
Step-by-step explanation:
I added multiplyed
Hector wants to make sure he has 50 texts left for the day of his birthday party. After how
many days will Hector have 50 texts left?
how many texts did he start with? is there more to the problem?
Find the straight line f(x) which intersects the coordinates (8,0) and (1, -7).
Answer:
y = x - 8
Step-by-step explanation:
7/7X - 8
the y intercept was the only tricky part
Answer:
f(x)=1x-8
Step-by-step explanation:
slope: 0-(-7)/ 8-1 = 7/7= 1
eg. (1,-7)
-7= 1 -y int.
y int. = 8
therefore:
f(x) = 1x-8
Which of the following points lies on the line perpendicular to
y = -x + 4, passing through (0,4)?
A (6,12)
B (6,0)
C (-6,-5)
D (12,-4)
E (0,1/4)
Answer:
Step-by-step explanation:
recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.
also recall that the formula to find the slope of a line is m=y2-y1/x2-x1
to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.
lets do the math now:
option a)
m=y2-y1/x2-x1
m=12-4/6-0
m=8/6
m=4/3
this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1
option b)
m=y2-y1/x2-x1
m=0-4/6-0
m=-4/6
m= -2/3
this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1
--------------
ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.
toodles! :)
PLZ HELP ME ON THIS QUESTION THIS IS THE LAST ONE I NEED
Answer:
(-3 1/3)(a)+6
Step-by-step explanation:
Latex paint sells for $27 per gallon and will cost you $270 to paint your room. If each gallon will cover 350 square feet, how many square feet of wall space do you have in your room?
Answer:
3500
Step-by-step explanation:
(270/27)× 350= 10 x 350
Find the values of p and q given that x⁴ + x³ - 7x² + px + q is divisible by (x - 1) and (x + 2)
Answer:
p = - 5, q = 10
Step-by-step explanation:
If f(x) is divisible by (x - h) then f(h) = 0
Here
f(x) = [tex]x^{4}[/tex] + x³ - 7x² + px + q
dividing by (x - 1) with h = 1 , then
[tex]1^{4}[/tex] + 1³ - 7(1)² + p + q = 0, that is
1 + 1 - 7 + p + q = 0
- 5 + p + q = 0 ( add 5 to both sides )
p + q = 5 → (1)
Dividing by (x + 2) with h = - 2 , then
[tex](-2)^{4}[/tex] + (- 2)³ - 7(- 2)² - 2p + q = 0 , that is
16 - 8 --- 28 - 2p + q = 0
- 20 - 2p + q = 0 ( add 20 to both sides )
- 2p + q = 20 → (2)
Subtract (1) from (2) term by term, thus eliminating q
- 3p = 15 ( divide both sides by - 3 )
p = - 5
Substitute p = - 5 into (1) and solve for q
- 5 + q = 5 ( add 5 to both sides )
q = 10
Each big square below represents one whole. What percent is represented by the shaded area?
Answer: 145%
Step-by-step explanation: It is 145% because all the squares represent 1% and each graph is 100%. One of the graphs are 100% shaded and the other is only 45% shaded. Adding these two percentages make 145%.
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answer:
one solution
Step-by-step explanation:
4(x+1)=3x+10
4x+4=3x+1
4x-3x+10-4
x=6
Answer:
Since x = 6, the equation only has one solution.
Step-by-step explanation
You have to solve the equation first.
Let's solve your equation step-by-step.
4 ( x + 1 ) = 3x + 10
Step 1: Simplify both sides of the equation.
4 ( x + 1 ) = 3x + 10
( 4 ) ( x ) + ( 4 ) ( 1 ) = 3x + 10 (Distribute)
4x + 4 = 3x + 10
Step 2: Subtract 3x from both sides.
4x + 4 − 3x = 3x + 10 − 3x
x + 4 = 10
Step 3: Subtract 4 from both sides.
x + 4 − 4 = 10 − 4
x = 6
Answer:
x = 6
Help me or your pet squirrel will mysteriously grow a 5th leg.
Answer:
36 yards
Step-by-step explanation:
causeimsmart
Question 2-4
20
Solve the compound inequality
<-4 or 5x +11 <-4.
3
Use the drop-down menus to provide the correct solutions to the compound inequality.
Solution: 2 < vor 2
Step-by-step explanation:
-x/3 < -4
-x < -12
x > 12
5x +11 ≤ -4
5x ≤ -4-11
5x ≤ -15
x ≤ -3
therefore, the solution is
x ≤ -3 or x > 12
Type your answers into the boxes.
Complete the following questions,
(9 + 5) - 7 =
(18-6) + 4 + 6 =
Answer:
(9+5)-7= 7
(18-6) +4+6 = 22
Answer:
(9 + 5) - 7 = 7
(18-6) + 4 + 6 = 22
Step-by-step explanation:
What is this number written in word form? 4,139,000 no links
A. Four thousand, one hundred thirty-nine million
B. Four billion, one hundred thirty-nine million
C. Four million, one hundred thirty-nine thousand
D. Four thousand, one hundred thirty-nine thousand
Answer:
Four million, one hundred thirty-nine thousand
I really need help, i dont quite understand this but would be happy if some could give me the answer or an explanation.
Answer:
Translate up 5 units, instead of focusing on the whole picture focus on one point and move it to the correct spot and the whole figure will follow.
Step-by-step explanation:
Please answer!!! No links!!
Picture is included
Answer:
6x10^-5
Step-by-step explanation:
6 Moves 5 places to the left to become the whole number.
It's negative 5 as you moved the digit from a decimal to whole number.
As it moved 5 places it's x100000.
So it's 10^5 but it's negative
help please ..:/ don’t get it
Which one of these shapes is not like the others? Explain what makes it different by representing
each width and height pair with a ratio.
Answer:
tassler said she doesn't know what to do with the out of my mind blowing up with me and I have to go to sleep please dont be sorry I was
Answer:
C
Step-by-step explanation:
Because the ratio at the short axis to the long axis is 4/5 in A and B but that is 3/5 in C.
Kylie is buying a new pair of tennis shoes. The price tag says that the shoes are
regularly priced at $68.80. Kylie has a coupon for 20% off.
Part A: How much money will Kylie save if she uses the coupon? Show your
work.
Part B: How much will Kylie pay for the shoes after the discount? Show your
work.
Answer:
Part A: $13.76 saved. Part B: $55.04
Step-by-step explanation:
Part A: Set a proportion up d/68.8 = 20/100
100·d=100d 68.8·20=1376
100d/100 cancels out
1376/100=13.76 so $13.76 was saved
Part B: 68.80-13.76= 55.04 so $55.04 was what he paid.