The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs
Answer:
it states: a squared + b squared = c squared ( the hypotenuse)
Step-by-step explanation:
Before a geometric object goes through a transformation it is called which of the following?
(1) the initial image
(2) the beginning image
(3) the pre-image
(4) the preliminary image
Answer:
The pre-image
Step-by-step explanation:
Hope this helps ya!
30 POINTS!!!!Twice the sum of a number and eleven is more than negative two. Boundary point:
Answer:
2(x + 11) > -2
_________________________________________________________
I feel like we are missing information here, can you comment it down below.
Answer
13
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that appl"
To begin converting the equation to standard form, subtract 36 from both sides.
mu To complete the square for the x terms, add 4 to both sides.
Answer:
To complete the square for the x terms, add 4 to both sides.To convert the given equation of the circle to standard form we should do as follows.
1. Add 36 to both sides of the equation.[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]
2. We order the terms according to their variables.[tex]x^{2} +4x +y^{2}-6y=36[/tex]
3. Divide the linear term by 2, then elevate it to the square power.[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]
4. Solve operations, and add the same units to the other side of the equation.[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]
5. Now, we sum costant terms, and factor both trinomials.[tex](x+2)^{2} +(y-3)^{2} =49[/tex]
As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.
Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.
pick a pair of alternate exterior angles
Answer: angles 1 and 7
The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this is my last resort
Answer:
The points that verify the system of inequalities are:
point E, pointF, and point G.
Step-by-step explanation:
Please see the attached image that illustrates the boundary lines in your system of inequalities.
The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.
By solving for y in each inequality, we understand which half-plane should be considered for the inequality:
First inequality (green boundary line) :
[tex]2x+y<10\\y=10-2x[/tex]
This means that we are to consider the points below the green boundary line.
Second inequality (red boundary line) :
[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]
This means we have to consider the points below the red boundary line.
Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.
From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.
On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.
A. -1
B. 1
C. Undefined
D. 0
Answer: 0
Step-by-step explanation:
Using the Trigonometric values table or unit circle, calculate the expression.
Answer:
The answer is D.) 0
Step-by-step explanation:
JUST THE QUEST
The graph of any nonvertical line can be represented by an equation in the form_________________________.
Answer:
Ax+By=C
Step-by-step explanation:
Answer:
an equation
Step-by-step explanation:
just did it
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?
Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
Find the measurement of y
A-129°
B-130°
C-145°
D-134°
Answer: C
Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.
Find the slope of the line through the points (13, 14) and (0, −1)
Answer:
[tex] \frac{15}{13} [/tex]
Step-by-step explanation:
gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of line
[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]
the diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)
Answer:
15.71
Step-by-step explanation:
To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5
Put in circumference formula C=2πr
c=2 x 3.14 x 2.5
c= 2 x 7.85
c=15.7
Put the value into the circle circumference formula C=2πr
A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)
Answer:
C. (9, 13)
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
(-7, 5)
5 = (1/2)*(-7) + b
5 = - 7/2 + b
b = 5+ 7/2 = 10/2 + 7/2 = 17/2
y = (1/2)x + 17/2
C. (9, 13)
13 = (1/2)*9 + 17/2
13 = 26/2
13=13 True
Answer:
It is C (9,13)
Step-by-step explanation:
took the test on edge
Need help with #12 pls explain
Easy 50 points. Graph solutions with picture.
Answer:
(-1,-4)
Step-by-step explanation:
The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.
The system's solution should be (-1,-4).
Answer:
-1,-4Step-by-step explanation:
The equation of lines shows the two points
and it cross in the coordinates(-1,-4)
so
solution is( -1,-4)
A bag contains 5 red, 8 black, 7 purple, and 10 yellow marbles. what is the probability of first selecting a purple marble, replaced gn it and then selecting a red marble?
Answer:
7/30 purple and 5/30 red or 1/6 red
Step-by-step explanation:
if u have a total of 30 marbles and 7 are puple the odds are 7/30 and if u put it back and take out another one the odds of getting a red are 5 out of 30 because there are still 30 and 5 out of the 30 are red but 5/30 = 1/6
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
A. y+ 2 = -2(x-1)
B. y-1 = 2(x-2)
C. y-2 = -2(x-1)
D. y- 1 = 2(x+2)
Helllp fast please someone
Answer: -10
Step-by-step explanation:
-4 - 6 = -10
Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
O A. It has a slope of 1.
O B. It goes through the origin.
C. It is a parabola.
D. It is in quadrants I and II.
Answer:
B, C, and D
Step-by-step explanation:
of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
The graph of the quadratic parent function is:
A. It is a parabola.
B. It is in quadrants I and II.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
To check the characteristics of the quadratic parent function,
let us take the basic quadratic function : y = x²
Below is a graph for this parent quadratic function:
Currently, as shown on the graph below:
Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.
The graph is located in quadrants I and II.
So. These can only be the features of the quadratic parent function's graph.
Learn more about Parabola here:
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What is the measure of 0?
Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828
Answer:
The correct option is D
D) -0.828
Step-by-step explanation:
Step 1:First find the mean of both x data set and y data set
x(mean) = 39/5 = 8
y(mean) = 53/5 = 11
Step 2:(find the values given in table attached below. The formation of table is step 2)
Step 3:Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula
r = ∑XY/(√∑X². ∑Y2²
∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2
r = -119.4/(√50.8 x 409.2)
Simplify above expression
r = -119.4/√20787.36
r = -119.4/144.1782
r = -0.8281
Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}
what is measurement of angle 2 and 11
Answer:
Angle 2 = 40 degrees Angle 11 = 60 degrees
Step-by-step explanation:
Start by using angle 1 to find angle 2
angle 1 is 140 + 2 is unknown = 180 degrees
140 + x = 180
-140 -140
x = 40
Angle 2 is 40 degrees
Now add together angles 2 and 9 to find the measure of angle 11
40 + 80 + x = 180
120 + x = 180
-120 -120
x = 60
Angle 11 is 60 degrees
Answer:
Angle #2 = 40 degrees Angle #11 = 60 degrees
Step-by-step explanation:
.
Which equation has a k-value of -5? A y=5x+3 B y=5x+5 C y=3x−5 D y=−5x
Answer:
NANI!?5
Step-by-step explanation:
help also I did some of it just not 3 and 4 and 6which is 2.5 ×__=80,1×__=32,3×__=96
Answer:
the answer is 32
Step-by-step explanation: divide the product by the number that is being mutiplied
HELPPP
Lane has a gift card worth $300 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lane must purchase at
least seven items. Which is a combination of movies and newly released video games that
Lane could purchase using his gift card?
A 01 movie and 6 video games
B2 movies and 4 video games
C6 movies and 5 video games
D8 movies and 1 video game
Answer:
D) 8 movies and 1 video game
Step-by-step explanation:
We are given that Lane has a gift card worth $300 for a local entertainment store.
Cost of 1 movie = $20
Cost of 1 video game = $50
In order to use the gift card, Lane must purchase at least seven items
A) 01 movie and 6 video games
Cost of 1 movie = $20
Cost of 6 video game = [tex]50 \times 6 = 300[/tex]
Total cost = 300+20 = 320
Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card
B) 2 movies and 4 video games
We are given that she must purchase at least seven items
So, She could not buy 2 movies and 4 video games
C)6 movies and 5 video games
Cost of 6 movie = [tex]20 \times 6 =120[/tex]
Cost of 5 video game = [tex]50 \times 5= 250[/tex]
Total cost = 250+120=370
Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card
D) 8 movies and 1 video game
Cost of 8 movie = [tex]20 \times 8 =160[/tex]
Cost of 1 video game = 50
Total cost = 160+50=210
So, she could purchase 8 movies and 1 video game
A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000
The fair price for the house is $205.88.
The correct answer is option A.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the fair price for the house, we can use the equation of the line of best fit provided:
y = 0.074x + 50.48
where y represents the price of the house and x represents the square footage of the house.
We can substitute 2100 for x to find the price of the house.
y = 0.074(2100) + 50.48
y = 155.4 + 50.48
y = 205.88
Therefore,
The fair price for the house is $205.88.
Learn more about equations here:
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Which number is a solution of the inequality −7x−3.5<−10.5
A. −3
B. −1
C. 1
D. 3
Answer: x > 1
Step-by-step explanation:
what is -5+11y-3=25? will mark brainliest!!
Step-by-step explanation:
-5 +11y -3 = 25
11y = 25 + 5 + 3
11y = 33
y = 33/11
y = 3
is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°
Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:
DBA = 180 - 90 - 30
DBA = 60
The measure of the angle ∠DBA will be 60°. Then the correct option is C.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The diagram is given below.
BD is the diameter of circle O. If m∠ACB = 30°.
We know that the central angle is double the angle at the periphery that was subtended by the same chords.
∠AOB = 2∠ACB
∠AOB = 2 x 30
∠AOB = 60°
We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.
Thus, the measure of the angle ∠DBA will be 60°.
Then the correct option is C.
More about the circle link is given below.
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Work out the value of x
[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]
Answer: x = 67.5°
Step-by-step explanation:
Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.
So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°
