On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of parallelogram RSTU? 24 square units 26 square units 32 square units 38 square units
Answer:
The area of the parallelogram is;
32 square units
Step-by-step explanation:
The given parameters are;
The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)
We note that the area of a parallelogram = Base length × Height
From the drawing of the parallelogram RSTU, we have;
The base length = The length of [tex]\overline {TU}[/tex] = The length of [tex]\overline {SR}[/tex] = √((2 - (-4))² + (6 - 4)²) = 2·√10
The height of a parallelogram is perpendicular to its base length = The line [tex]\overline {VT}[/tex]
∴ Where, the slope of the base length = m, the slope of the height = -1/m
The slope, 'm' of [tex]\overline {SR}[/tex] = (6 - 4)/(2 - (-4)) = 1/3
Therefore, the slope of the height = -1/(1/3) = -3
We note that a point on the height is the point 'T', therefore, the equation of the line in point and slope form is therefore;
y - 0 = -3·(x - 0)
∴ y = -3·x
Therefore, the coordinates of the point 'V' is given by the simultaneous solution of the equations of [tex]\overline {SR}[/tex] and [tex]\overline {VT}[/tex]
The equation of the line [tex]\overline {SR}[/tex] in point and slope form from the point 'R' and the slope 'm = 1/3' is given as follows;
y - 4 = (1/3) × (x - (-4)) = (1/3) × (x + 4)
y = x/3 + 4/3 + 4 = x/3 + 16/3
y = x/3 + 16/3
We then have the coordinate at the point 'V' (x, y) is given as follows;
-3·x = x/3 + 16/3
-9·x = x + 16
-10·x = 16
x = -16/10 = -1.6
x = -1.6
∴ y = -3·x = -3 × -1.6 = -4.8
y = 4.8
The coordinate at the point, V = (-1.6, 4.8)
The length of the line [tex]\overline {VT}[/tex] = The height of the parallelogram = √((-1.6 - 0)² + (4.8 - 0)²) = 8/5·√10
The height of the parallelogram = 8/5·√10
The area of the parallelogram, A = Base length × Height
∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32
The area of the parallelogram, A = 32 square units.
Answer:
Im pretty sure its 32
Step-by-step explanation:
PLZ HELP IM FAILING THIS CLASS
Answer:
1.D
2. B
Step-by-step explanation:
by inspection that's the answer
I just did cross multiplication and added lcm
but to get the answer you multiply through by -1 (I mean both numerator and denominator)
2. by inspection answer b is the best fit
Need help with this question asap pleasee
Answer:
The second choice is correct
Step-by-step explanation:
Here, we want to get the correct statement
As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center
Mathematically, we know that angle at the center is two times the angle at the circumference
Thus,
m1 = 1/2 (m2)
or m2 = 2 * m1
please help meeeee!!!
Answer:
C -8
Step-by-step explanation:
Hope it helps :)!!
PLEASE HELP ME IM TIMED ON THIS!!!
Which expression is equivalent to the area of square A, in square inches?
1/2 (10)(24)
10(24)
(10+24)^2
10^2+24^2
Answer:10^2+24^2
Step-by-step explanation:the required expression equivalent to the area of the square A in inches is (10² + 24²).
write down the value of 8^4/3
Answer:
x = 16
Step-by-step explanation:
Let's break it down
Doing ^4/3 is the same as doing 2^4
(8 = 2*2*2. You add an extra 1/3 which means you multiply by 2 again = 2^4)
So let's write the equation
x=16
If my answer is wrong, pls correct me
If you like my answer and explanation, pls mark me as brainliest
-Chetan K
Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
Complete the table.
Length of side of square
1
2
3
4
5
Perimeter of square
Area of square
Answer:
Idont know the answer sa susunod nalang
Step-by-step explanation:
area of square=side*side and perimeter of square =4*side...........
now you solve yourself
one batch of walnut muffins uses 1 1/3 cups of walnuts how many cups of walnuts are needed to make 3 3/4 batches of muffins
Answer:
multiply them together
Step-by-step explanation:
Answer:
The answer is 5 cups!
Step-by-step explanation:
since 1 1/3 multiplied by 3 3/4 is 5! <3
Exercice 4:
Le cerveau humain est composé de 100 milliards de neurones. À partir de le cerveau humain est composé de 100 milliard de neurones.a partir de 30 ans, ce nombre de neurones baisse
d'environ 100 000 par jour. En considérant qu'une année contient 365 jours, donner l'écriture
décimale puis scientifique du nombre de neurones d'un humain de 40 ans.
PLEASE HELP ME I WILL GIVE BRAINLIEST JUST NO LINKS PLS!!
Answer:b
Step-by-step explanation:
b) Here are the first four terms of another sequence.
6 11 16 21
Write an expression for the nth term of this sequence.
Answer:
aₙ = 5n + 1Step-by-step explanation:
11 - 6 = 5 , 16 - 11 = 5 , 21 - 16 = 5
So, it's atithmetic formula with common difference os 5
[tex]a_n = a_1+d(n-1)\\\\a_1=6\\d=5\\\\a_n=6+5(n-1)\\\\a_n=6 +5n-5\\\\a_n = 5n+1[/tex]
What are 3 ratios equivalent to 4/8?
Answer:
1/2, 2/4, and 5/10 in ratio terms 1 : 2, 2 : 4, and 5 : 10
what is the soultion to the equation 4/6 x — 1/2x = 3/10(x + 4)
Based on a random sample of 500 people, 45 reported they have more than one
dog. Based on these results, how many out of 1,200 people would you expect to
have more than one dog?
A
1,008
B
60
С
165
D
108
Answer:
I’m guessing 108 or 165
Step-by-step explanation:
because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry
a submarine was situated 800 feet below sea if it ascends 275 feet what is the new position
Answer:
-525 feet
Step-by-step explanation:
800 feet below is negative 800 feet ---> -800
-800 + 275 = -525
Write an expression equivalent to -3 + 2/3y − 4 −1/3y
Answer:
1/3y - 7
Step-by-step explanation:
Add the like terms
-3 + (-4) = -7
and
2/3y + (-1/3y) = 1/3y
Hope this helps :)
Answer:
y= 1/3
Step-by-step explanation:
-3 + [tex]\frac{2}{3y}[/tex] − 4 −[tex]\frac{1}{3y}[/tex]
= -9y +2 - 4y - 1
13y= 1
y= 1/3
Find the vertex of y = 5x² - 4
Answer: (0,-4)
explanation: write in vertex form and use this form to find the vertex ( h , k )
The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.2 cm and 6 cm. If there are 150 tiles in the mosaic, what is the area of the mosaic?
Given:
Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.
There are 150 tiles in the mosaic.
To find:
The area of the mosaic.
Solution:
We know that, the area of a triangle is:
[tex]A=\dfrac{1}{2}\times Base\times height[/tex]
So, the area of Each right triangular tile is:
[tex]A=\dfrac{1}{2}\times 5.2\times 6[/tex]
[tex]A=\dfrac{1}{2}\times 31.2[/tex]
[tex]A=15.6[/tex]
There are 150 tiles in the mosaic. So, the area of the mosaic is:
[tex]Area=15.6\times 150[/tex]
[tex]Area=2340[/tex]
Therefore, the total area of the mosaic is 2340 cm ².
A scale drawing of an American flag is 5 inches long and 3 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?
Answer: 1 inch:1 feet
Step-by-step explanation:
Since we are informed that the scale drawing of an American flag is 5 inches long and 3 inches tall and the actual flag is 3 feet tall.
To calculate the scale of the drawing, we should note that the height of the drawing is 3 inches tall while the height of the actual flag is 3 feet tall. It simply means that (3/3 = 1 inch represents 1 feet
Frank's car is 12 feet long. Alex's car is 108 inches
long. When you line them up one in front of the
other, how long are they together? (Answer in feet)
Answer:
21 feet
Step-by-step explanation:
108 inches / 12 = 9 feet.
9+12=21 feet
can you guys tell me if i did anything wrong? asap no links or i will report!!
Answer:
Yep, im pretty sure everything is good, good job!
Step-by-step explanation:
Use the figure to find the measures of the numbered angles. Helppp plzzz
angle 1 = 81°
angle 2 = 99°
angle 3 = 81°
angle 4 = 99°
angle 5 = 81°
angle 6 = 99°
angle 7 = 81°
where did the student go wrong and what are the correct steps
Answer:
the second steps was wrong.
Step-by-step explanation:
2x-8+3x+2=4x+10+3x-6
5x-6=7x+4
5x-7x=4+6
-2x=10
x=-5
-5s=−13
solve for s .
Answer:
The answer is going to be 13/5 or 2.6
Step-by-step explanation:
You are going to need to divide both sides by the constant of -5 in order to get s by itsef. After you divide both sides by -5, you will get -13/-5 which two negatives divided by a positive so it would be 13/5 or if you turn it into an integer, it would be 2.6
URGENT Question HELP FAST!!!!!
Answer:
8100 cubic ft
Step-by-step explanation:
[tex]v = l \times w \times h \\v = 75 \times 9 \times 12 \\ \\ v = 8100 [/tex]
Answer: 891 feet cubed
Step-by-step explanation:
whats 1/19x2/19 plsplsplsplsplsplsplsplsplsplspls help me i need help
Answer:
The answer is 2/361 or in decimal its approximately 0.00554017.
Step-by-step explanation:
Hope this helps
Which statement describes the relationship between the length of a rain delay and the number of hours of rainfall?
OA. During several storms, there were five delays.
ОВ.
During several storms, it rained for six hours.
OC. During several storms, there were five hours of delay for every eight hours of rain
OD. During several storms, the longer it rained, the shorter the delay
Answer: c. during several storms, there were five hours of delay for every eight hours of rain
Step-by-step explanation: i just had this question
How did you apply proportional reasoning as you worked through these problems?
Answer:
plz mark me as brainliest. :) (use quill bot for paraphrasing!)
Step-by-step explanation:
I applied proportional reasoning as I worked through these problems by using this reasoning to answer all the questions.
Proportional reasoning can be applied by using formal operational reasoning. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.
What is Proportional reasoning?According to Piaget's model of mental development, "formal operational reasoning," which is learned in the later phases of intellectual development, includes arguments based upon relations of proportionality. There are strategies that teachers can use to help pupils apply proportional reasoning correctly.
Finding missing values is only one aspect of proportional reasoning; it also serves as a lens through which to solve problems and builds crucial groundwork for mathematical thinking. Proportional reasoning can be applied by using formal operational reasoning.
Therefore, proportional reasoning can be applied by using formal operational reasoning.
To know more about proportional reasoning, here:
https://brainly.com/question/28001172
#SPJ3
Solve for p. −4.5 + p6= −18.9
Answer:
-2.4
Step-by-step explanation:
Given data
We have the expression before us as
−4.5 + p6= −18.9
Collect like terms
p6= −18.9+4.5
p6= -14.4
Divide both sides by 6
p= -14.4/6
p=-2.4
Hence the value of p= -2.4
Answer:
That one answer you see below is wrong
Step-by-step explanation:
Thats it