Answer:
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent. ASA
Step-by-step explanation:
Answer:
They are congruent with the rule ASA
Step-by-step explanation:
Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following:
For your initial response, answer the two questions below:
1. The farmer needs to spread hay under all the squash plants. Write an expression, using x, that represents the amount of the area of the field just for the squash.
2. The farmer needs a small fence for just around the potato patch. Write an expression, using x, that represents the perimeter of the part of the field just for potatoes. (simplify)
3. Challenge question! Write an expression, using x, that represents the perimeter of the entire garden, should the farmer want a bigger fence. (simplify)
Be sure to explain/show your work on how you determined your answers. Feel free to upload a picture of work or a video explanation to the discussion board.
Answer:
1.
The farmer needs to spread hay under all the squash plants. Write an expression, using x, that represents the amount of the area of the field just for the squash.
solution
area of rectangle is L x W,
let L =4x and and W = x
therefore Area (A) = 4x(x) = 4x2
2
The farmer needs a small fence for just around the potato patch. Write an expression, using x, that represents the perimeter of the part of the field just for potatoes. (simplify)
solution
parameter(P) = 2( L + W )
let L=x2 - 7x +12 and W = x +6
therefore
P = 2(x2 -7x +12 + x + 6)
= 2( x2 -6x + 18)
P = 2x2 -12x +36
3.
Challenge question! Write an expression, using x, that represents the perimeter of the entire garden, should the farmer want a bigger fence. (simplify)
solution
P= L1+L2+W1+W2
when
L1 = x + 6x +xy -1 = 7x +xy -1
L = 5x + 2 + x2 - 9 +x2 -7x + 12 = 2x2 5x + 2
w1 4x + 5x -2
w2 = xy + x 7
p = 7x +xy -1 + 2x2 5x + 2 + 4x + 5x -2 + xy + x 7
p = 2xy + 2x2 +16x +9
Step-by-step explanation:
Match the function to the graph.
Answer:
[tex]a) \ sin(x - \frac{\pi }{2})[/tex]
Step-by-step explanation:
You can does a horizontal shift to the [tex]sin[/tex] function.
[tex]f(x - c)[/tex] shift the graph [tex]c[/tex] units to the right[tex]f(x + c)[/tex] shift the graph [tex]c[/tex] units to the leftBeside we know that when [tex]sin(0) = -1[/tex] then the only option that produce the desire result is the [tex]a[/tex] option because
From first principles, find the indicated derivatives
By definition of the derivative,
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]
[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]
A bike take 56 minutes to travel 8 km? How many minutes will take to travel 15?
Answer:
1 hour 45 mins
Step-by-step explanation:
56÷8=7
7x15=105mins
105mins=1hr 45mins
An employee earns $480 per week. They are entitled to 4% vacation pay. How much vacation pay should they receive per week?
Answer:
480 * 0.04 = 19.2
$19.20
Kate is competing in a 200 m race.
She runs at a constant speed of 4.8 m/s for the first 50 m, then 3.8 m/s for 20 seconds.
The remainder of the race takes her 22 seconds to complete.
What is Kate's average speed for the entire race to 1 dp?
Answer:
3.816 m/s
Step-by-step explanation:
Answer:
3.816 m/s
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
There is a line that includes the point(10, 5)and has a slope of 1 What
is its equation in slope-intercept form?So far I have y=1x+what's the y?
Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.
If an apple and 3 bananas cost $2.50, but 2 apples and 5 bananas cost $4.50, then how many dollars do 3 apples and 6 bananas cost?
Answer:
See below:
Step-by-step explanation:
So we know that an apple and 3 bannans are dollar 2.50
We also know that 2 apples and 5 bannanas are dollar 4.50.
Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.
Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)
Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.
3*1 + 3*2 = 2*3
3a + 6b = 6 dollars.
The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.
Given :
An apple and 3 bananas cost $2.50.2 apples and 5 bananas cost $4.50.Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:
x + 3y = 2.5 --- (1)
The cost of 2 apples and 5 bananas is given by the equation:
2x + 5y = 4.5 ---- (2)
Now, solve the equation (1) for 'x'.
x = 2.5 - 3y --- (3)
Now, put the value of 'x' in equation (2).
2(2.5 - 3y) + 3y = 4.5
5 - 6y + 3y = 4.5
0.5 = 3y
[tex]y = \dfrac{1}{6}[/tex]
Now, put the value of 'y' in the equation (3).
[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]
x = 2
Now, the cost of 3 apples and 6 bananas will be:
[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]
So, the cost of 3 apples and 6 bananas is $7.
For more information, refer to the link given below:
https://brainly.com/question/13911928
Question 10 of 10
Which of the following is the solution to the inequality below?
-2/6(4-x)<4(x+1/2
Answer:
x > -11/10
Step-by-step explanation:
-2/6(4-x) < 4(x+1/2)
-1/3(4-x) < 4x + 2
-4/3 + 1/3x < 4x + 2
-4 +x < 12x + 6
x - 12 x < 6 + 4
-11x < 10
x > -11/10
These triangles
are congruent by
the triangle
congruence
postulate [? ].
A. ASA
B. Neither, they are not congruent
C. AAS
Since in the two triangles,
2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.
Option A is the correct answer.
For f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)
Answer:
f(3) = 1/(3)^2-3
Step-by-step explanation:
To solve for when x=3, we simple replace x with 3
f(3) = 1/(3)^2-3
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Gerald borrowed $750 at 7% simple interest to be paid back in 2 years. How much interest will he pay?
Answer:
$105 interest
Step-by-step explanation:
[tex]S.I=\frac{PRT}{100}[/tex]
[tex]S.I= \frac{750*7*2}{100}[/tex]
Interest = $105
x=4y-7
2x+9y=-31
What be the answer
Answer:
x=-11
y=-1
Step-by-step explanation:
x=4y-7
2x+9y=-31
2(4y-7)+9y=-31
8y-14+9y=-31
17=-31+14
17y=-17
y=-1
x=4(-1)-7
x=-11
Answer:
x = -11, y = -1
Step-by-step explanation:
solving simultaneously,
2(4y-7) + 9y = -31
17y = 14 - 31
17y = -17
y = -1
back sub, we get:
x = 4(-1)-7
x = -11
so x = -11, y = -1
Jade and Juliette are riding their bikes across the country to promote autism awareness. They rode their bikes 45.4 miles on the first day and 56.3 miles on the second day. From now on, Jade and Juliette plan to ride their bikes 62 miles per day. If the entire trip is 2,878 miles, how many more days do they need to ride?
Can someone please find a way to solve this using a graph, table, or diagram? Plssss Urgent
Answer:
about 46
Step-by-step explanation
If p - 5q = 4qr,
p
find the value of p when
q = 4 and r = -1.
Answer:
p - 5q = 4qr where
q = 4 and r = -1 by applying these value
p - 5(4) = 4(4)(-1)
p - 20 = -16
p = -16 + 20
p = 4
Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t on sale for $4 and $11, respectively. Which equation models this situation?
Answer:
4s + 11t = 75
Step-by-step explanation:
Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.
s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).
t is the number of ties that are bought.
4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+
11t represents the total cost of the ties that are bought
Find the Simple Linear Regression Formula of the data set shown below: (10pts)
Where the monthly e-commerce sales is Y and online advertising costs X.
Note: Round off your answers to two decimal places. No spaces in between characters.
Example format for the Final answer: y=36.11x+23.22
Uisng technology, such as a linear regression calculator or excel , the linear equation in slope - intercept format which models the data is 171.47x - 125.83
The relationship between advertising cost and e-commerce sales is positive which can be inferred from the positive value of the slope which models the data. Also, since, the correlation Coefficient is high, we can expect to have a high e-commerce sales whenever, the advertising cost is high.
Therefore, the linear regression equation is 171.47x - 125.83
Learn more : https://brainly.com/question/18405415
Give the coordinates and quadrant of Point Z.
Number graph ranging from negative ten to ten on the x and y axes. Point C is drawn at (negative four, five), point D is drawn at (negative nine, nine), point E is drawn at (five, zero), point I is drawn at (zero, nine), point J is drawn at (negative nine, zero), point L is drawn at (nine, negative nine), point P is drawn at (zero, negative nine), point X is drawn at (zero, five) and point Z is drawn at (nine, ten).
(9, 10) Quadrant II
(10, 9) Quadrant I
(9, 10) Quadrant I
(10, 9) Quadrant II
The coordinates and quadrant of Point Z is (9, 10) Quadrant I.
Which four quadrants of graph?The X and Y axes divide the graph plane into four quadrants:
The first quarter is at the upper right corner of the plane. In this quadrant, the x and y coordinates are both positive. The second quadrant is situated in the top left corner of the plane. In this quadrant, the x-coordinate is negative while the y-coordinate is positive. The third quarter lies at the lower left-hand corner of the plane. In this quadrant, the x and y coordinates are both negative. The fourth quarter is at the lower right corner of the aircraft. In this quadrant, the x-coordinate is positive while the y-coordinate is negative.Given:
Coordinates:
C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and
Z(9, 10).
As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.
Hence, Z lies in Quadrant !.
Learn more about graph quadrant here:
https://brainly.com/question/12788228
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can anyone help with this equation?
Simplify the expression √((8x^5 y^2)/z^3 ).
[tex]\sqrt{\dfrac{8x^5 y^2}{z^3}}\\\\\\=\dfrac{\sqrt{8x^5 y^2}}{\sqrt{z^3}}\\\\\\=\dfrac{\left( y\sqrt{8}\right) \sqrt{x^5}}{\sqrt{z^2 \cdot z}}\\\\\\=\dfrac{\left(y\sqrt{4\cdot 2} \right) \sqrt{x^2 \cdot x^2 \cdot x}}{z\sqrt z}\\\\\\=\dfrac{\left(2\sqrt 2 \right) y x^2\sqrt{x}}{z\sqrt z}\\[/tex]
i'll mark brainliest thanks
Answer:
Transitive
Step-by-step explanation:
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!
Answer:
In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.
Step-by-step explanation:
I hope this helps!
Solve 8T 1398lb 14oz * 6
this is soo funny
haha thanks for the points
help, due right now thxxxxx
Answer:
3/6, 2/3, 6/8
Answer:
Step-by-step explanation:
for the first one you count how are in the row and how many are shaded for the first one is 3/6
1 + 1 = 22
Explain why it equals 22.
How long must a rectangular box be in order to hold 1,800 cubic centimeters of its width is 12 centimeters and its heigh is 6 centimeters?
72 boxes sold out of 90 boxes what percent sold
Answer:
80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
90 boxes = 100%
72 boxes = ?
=> (72 * 100)/ 90 = 80%
express 1 000 000 in standard form
Answer:
10^6.
Step-by-step explanation:
There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.
Given m|n, find the value of x.
+
(7x-3)
m
>
(6x+17)
The value of x
Step-by-step explanation:
7x - 3 = 6x + 17
7x - 6x = 17 + 3
x = 20
Solution → x = 20°
I WILL MARK BRAINLIEST, PLEASE HURRY
Suppose radius CA is 12 meters long. What is the diameter of the circle?
Answer:
24 meters
Step-by-step explanation:
a radius is half the diameter of the circle. hence, the diameter is 24 meters.