Answer:
height =10
[tex] \frac{4}{5} h + 2 = h \\ h - \frac{4}{5} h = 2 \\ \frac{1}{5} h = 2 \\ h = 2 \times 5 = 10[/tex]
Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown
Answer:
lol someone just deleted my answer but like i said i cant really tell you unless you could possibly turn it around like up straight
Step-by-step explanation:
Question 1. (20 points) Evaluate the line integral Z C (x 5y) dx x 2 dy where C consists of the two line segments from (0, 0) to (5, 1) and from (5, 1) to (5, 0).
There are some symbols missing in your integral. I suspect you meant something along the lines of
[tex]\displaystyle \int_C (x+5y)\,\mathrm dx + x^2\,\mathrm dy[/tex]
but we can consider a more general integral,
[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy[/tex]
One way to compute the integral is to split up C into two component paths C₁ and C₂, parameterize both, directly compute the integral over each path, then sum the results.
Parameterize C₁ and C₂ respectively by
〈x₁(t), y₁(t)⟩ = (1 - t ) 〈0, 0⟩ + t 〈5, 1⟩ = 〈5t, t⟩
〈x₂(t), y₂(t)⟩ = (1 - t ) 〈5, 1⟩ + t 〈5, 0⟩ = 〈5, 1 - t⟩
where 0 ≤ t ≤ 1. Then
[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = \int_{C_1} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy + \int_{C_2} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy \\\\ = \int_{C_1} \left(f(x_1(t),y_1(t))\frac{\mathrm dx_1}{\mathrm dt} + g(x_1(t),y_1(t))\frac{\mathrm dy_1}{\mathrm dt}\right)\,\mathrm dt \\ + \int_{C_2} \left(f(x_2(t),y_2(t))\frac{\mathrm dx_2}{\mathrm dt} + g(x_2(t),y_2(t))\frac{\mathrm dy_2}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^1 \left(5f(5t,t) + g(5t,t) - g(5,1-t)[/tex]
If f and g agree with what I suggested earlier, the integral reduces to
[tex]\displaystyle \int_0^1 \left(5(5t+5t) + (5t)^2 - 5^2\right)\,\mathrm dt = \int_0^1 \left(25t^2 + 50t - 25\right)\,\mathrm dt = \boxed{\frac{25}3}[/tex]
Another way would be to close the path with a line segment from (5, 0) to (0, 0) and apply Green's theorem. Compute the resulting double integral, then subtract the contribution of the line integral over this third line segment. Provided that f(x,y) and g(x,y) don't have any singularities along this closed path C* or inside the triangle (call it T ) that it surrounds, we have
[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = -\iint_T \frac{\partial g}{\partial x}-\frac{\partial f}{\partial y} \,\mathrm dx\,\mathrm dy[/tex]
where T is the region,
[tex]T = \left\{(x,y) \mid 0\le x\le 5 \text{ and } 0\le y\le \dfrac x5\right\}[/tex]
The double integral has a negative sign because C* has a negative, clockwise orientation.
Then
[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = -\int_0^5\int_0^{x/5} \frac{\partial g}{\partial x}-\frac{\partial f}{\partial y} \,\mathrm dy\,\mathrm dx[/tex]
If f and g are as I suggested, then
[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = \int_0^5\int_0^{x/5} (5-2x) \,\mathrm dy\,\mathrm dx = -\frac{25}6[/tex]
From this, we subtract the integral along the line segment C₃ from (5, 0) to (0, 0), parameterized by
〈x₃(t), y₃(t)⟩ = (1 - t ) 〈5, 0⟩ + t 〈0, 0⟩ = 〈5 - 5t, 0⟩
again with 0 ≤ t ≤ 1.
Then the remaining line integral is
[tex]\displaystyle \int_{C_3} f(x_3(t),y_3(t))\,\mathrm dx_3 + g(x_3(t),y_3(t))\,\mathrm dy_3 = \int_{C_3} x_3(t)\frac{\mathrm dx_3}{\mathrm dt}\,\mathrm dt \\\\ = \int_0^1 -5(5-5t)\,\mathrm dt = -\frac{25}2[/tex]
and so the original line integral is again -25/6 - (-25/2) = 25/3.
Need help in 8 seconds ASAP
Use the diagram to find the angle measures
of the triangle. Recall that the sum of the
angle measures of a triangle is 180°
2x
(x+8)
x°
(x+8)° = °
2x =
(SOMEONE PLEASE ANSWER)
Answer:
x°=43°
2x°=86°
(x+8)°=51°
Step-by-step explanation:
x+2x+x+8=180°[being sum of the angles of triangle]
or, 4x+8=180
or, 4x=180-8
or, 4x=172
or, x=172/4
or, x=43°
Then,
2x=2×43°=86°
(x+8)°=(43+8)°=51°
Please mark me brainliest.
g(x)=−3x−4, find g ( 5 ) g(5).
Answer:
-19
Step-by-step explanation:
g(x)=−3x−4
Let x = 5
g(5)=−3*5−4
Multiply
= -15-4
= -19
[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]
Hope it help you
Which percent is equivalent to 3/5 ?
Answer:
the answer will be 60 percent
=60%
Deborah needs fabric for her costume. She buys 3.25 yards of material at $5.87 a yard. Question: What is the total cost of the fabric? Round to the nearest cent (hundredths place). You must show your work to receive all possible points. Note: Enter your answer and show all of the steps that you use to solve this problem in the space provided
Answer:
so you basicly divided 5.87 to 3.25
Step-by-step explanation:
do this : 5.87/3.25= your answer
16. An empty jar has a volume of
8x^2 + 2x - 4 cubic inches. Josh pours
4x^2 – 3x +2 cubic inches of water
into the jar. How many more cubic
inches of water could the jar still
hold?
9514 1404 393
Answer:
4x^2 +5x -6
Step-by-step explanation:
The remaining empty space is the difference between the original amount of empty space and the volume that was filled.
(8x^2 +2x -4) -(4x^2 -3x +2) = 8x^2 +2x -4 -4x^2 +3x -2
= (8 -4)x^2 +(2 +3)x +(-4 -2)
= 4x^2 +5x -6
The jar could hold 4x^2 +5x -6 more cubic inches.
through : (- 5, - 5); slope = 3/5
Answer: y + 5 = 3/5 (x + 5)
Concept:
There are four general forms of equations:
Slope-intercept form: y = mx + b Point-slope form: y - y₁ = m (x - x₁) Standard form: Ax + By = C Intercept form: x/a + y/b = 1Here, we are going to use the point-slope form because the question has given us both the slope and one point.
Solve:
**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.
Given information
(x₁, y₁) = (-5, -5)
m = 3/5
Given expression
y - y₁ = m (x - x₁)
Substitute values into the expression
y + 5 = 3/5 (x + 5)
Hope this helps!! :)
Please let me know if you have any questions
Helppp
Find the measure of ∠3.
the quotient of a number and 3
Step-by-step explanation:
The quotient of three and number n translate to 3 divide by a number n,given the quotient indicates division or fraction. four more than that value tells us that we simply add a 4
5^{x+1}-5^{x+2}=-2500. Find x
Answer:
x is 3
Step-by-step explanation:
[tex] {5}^{(x + 1)} - {5}^{(x + 2)} = - 2500 \\ [/tex]
divide all sides by -1:
[tex] {5}^{(x + 2)} - 5 {}^{(x + 1)} = 2500[/tex]
from law of indices:
[tex]( {5}^{x} . {5}^{2} ) - ( {5}^{x} . {5}^{1} ) = 2500[/tex]
factorise out 5^x:
[tex] {5}^{x} ( {5}^{2} - {5}^{1} ) = 2500 \\ {5}^{x} (20) = 2500 \\ {5}^{x} = 125 \\ {5}^{x} = {5}^{3} \\ x = 3[/tex]
simplify the expression and enter your answer below
(17^1/7)^7
select the line segment
A group of friends were working on a student film that had a budget of $900 they use 87% of their budget on costumes how much money did they spend on costumes
8. Find f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
f(x) < g(x)
(2x + 3) < (3x - 2)
3 < x - 2
5 < x
x > 5
Check:
2x + 3 < 3x - 2
2(5) + 3 < 3(5) - 2
10 + 3 < 15 - 2
13 < 13 --- FALSE
2(10) + 3 < 3(10) - 2
20 + 3 < 30 - 2
23 < 28 --- TRUE
Hope this helps!
Answer:
x < 5
Step-by-step explanation:
f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2
2x + 3 < 3x - 2
2x - 3x < -2 -3
-x < -5
x > 5
which point is a solution to the following system:
y=-3x-13
x+2y=4
Graph the following piecewise function and then find the domain.
[6,9)
(6,9]
(-4,9)
9514 1404 393
Answer:
domain: (-4, 9)
Step-by-step explanation:
The graph is defined for all points between -4 and 9, but not for those two points. In interval notation, the domain is (-4, 9).
Help please due today
The copy is the exact same as the original, so the scale factor would be 1.
The answer is the first choice
PUHLESEEEEEE HELPPPPPP
1 st picture,
Other names of <1 are - <F, <YFP, <PFY
2 nd picture,
Acute
3 rd picture,
Point E
Answer:
1. ∠F, ∠YFP, ∠PFY
2. Acute
3. Point E
Step-by-step explanation:
One branch of a stream is 45.27 meters long. It leads into another stream that is 503.62 meters long.
What is the total length of the stream?
From the information given, the total length of the stream will be 548.89 meters
The length of the first stream = 45.27 meters
The length of the second stream = 503.62 meters
The total length of the stream will be equal to the addition of the length of the first stream and the second stream and this will be:
= 45.27 meters + 503.62 meters
= 548.89 meters
Read related link on:
https://brainly.com/question/24443880
Answer
The correct answer iss 548.89
Step-by-step explanation:
45.27+503.62=548.89
Hope this helps!
Postcards cost $2.50 for six.
What's the price for 1 postcard?
Answer:
about 41 cents
Step-by-step explanation:
What is the equation of the line that is perpendicular to the line x=2 and
goes through the point (1,-3)? *
Step-by-step explanation:
P(x,y)=(1,-3)
line is perpendicular to x=2 which shows that line is parallel to x-axis.
angle=0°
m=tan(angle)
m=tan0°
m=0
By using point slope form:
y+3=0(x-1)
y+3=0
Note:if you need to ask any question please let me know.Trent buys a new smartphone. The total cost is $599.40, but he pays in equal monthly payments of $33.30. How many months will it take Trent to pay off the smartphone?
how many months?
Please help with average rate of change algebra 2
Answer:
3 units per hour
Explanation:
Time = 9 hours
Difference in sales = 24 (Chromebooks)
24 ÷ 9 = 2.66...
When rounded, it equals 3.
A store sells cheese in half a pound package a recipe calls fpr 1.72 pound of cheese how many packages does the chef need
Answer:
4 packages
Step-by-step explanation:
Since the store sells by 1/2 packages, we have to round 1.72 UP to 2.00. Then we multiply 1/2pound by 4= 2.00 pounds
I NEED SOMEONE TO ANSWER THIS QUESTION
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided.
If 20% percent want an ice cream party, how many students are in the class
Answer:
25
Step-by-step explanation:
5=20% of x
0.20x=5
divide both sides by 0.20
x=25
heres the lineeeeeeeeeeeeeeeeeeeeee
Answer:
Z, K and R
and
H ,B and C
........
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest for whoever answers with the equations
Answer:
See belowStep-by-step explanation:
The unknown number is reflected as n.
#9The sum of 5 and four times a number is 32:
5 + 4n = 32#10Four less than the square of a number is 12:
n² - 4 = 12#11The product of 3 and four more than a number is 20:
3*(n + 4) = 20If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4
Answer:
Y=K×X
when Y=-8 and X=4
-8=K×4
-8=4K divide both sides by 4
K=-2 constant
To find Y when X=-4,Y=? and K=-2
Y=-2×-4
Y=8