Answers
Answer:
5. [tex]y=\frac{1}{3}x-3[/tex]
6. [tex]y=\frac{1}{4}x+4[/tex]
7. [tex]y=-5[/tex]
8. [tex]y=x+5[/tex]
9. [tex]y=\frac{-1}{2}x+6[/tex]
10.[tex]y=-4x+2[/tex]
Step-by-step explanation:
5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]
[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]
6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]
[tex]y = \frac{1}{4} x+b[/tex]
[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]
7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]
[tex]y=-5[/tex]
8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]
[tex]y=x+b\\7=2+b\\b=5[/tex]
9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]
[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]
10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]
[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]
Related Questions
Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find the perimeter of ∆ACD.
Answers
Answer:
70 unitsStep-by-step explanation:
Given triangle ACD
AB = BCCD = 2x + 6AB = x + 5BC = 2x - 3P = ?Perimeter is sum of the side lengths:
P = AD + CD + ACAD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
Then P is:
P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14Find the value of x from the AB = BC:
x + 5 = 2x - 32x - x = 5 + 3x = 8Then find the value of P:
P = 7*8 + 14 = 56 + 14 = 70 unitsThe price of a flight was increased by 3% to £650. What was the price before the increase?
Give your answer to the nearest penny.
Answers
2 triangles are shown. They have one congruent side. The first triangles has angle measures of 98 degrees and 35 degrees. The second triangle has angle measures of 35 degrees and 47 degrees. Are the triangles congruent? If so, how do you know?
Answers
Answer: Yes.
Step-by-step explanation:
Two triangles are said to be congruent when the sides of the triangles are all of same length and also when their angles are equal as well.
In this case, the first triangles has angle measures of 98 degrees and 35 degrees. This means that the 3rd angle in the triangle will be:
= 180° - (98° + 35°)
= 180° - 133°
= 47°
Since the second triangle has angle measures of 35 degrees and 47 degrees. The 3rd angle will be:
= 180° - (35° + 47°)
= 180° - 82°
= 98°
The triangle is congruent as they all have same angles
Answer:
yes because of ASA or AAS
Step-by-step explanation
got it right
Find each function value f(3) if f(x) = 2x + 2
Answers
Answer: The function value is 8.
Step-by-step explanation: Substitute 3 for x.
f(3) = 2(3) +2f(3) = 6 +2f(3) = 8Answer:
Step-by-step explanation:
okay soooo first you must multiply 3 by 2 because 3 is the element of the function (x)
your answer should be 6
now add 2 to your answer (6) and you should get 8
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answers
Answer:
Step-by-step explanation:
We start at (-7, 7). A translation of 1 unit to the right results in (-6, 7). A translation down from there results in (-6, 4). This is the desired image point.
I NEED HELP PLSS
Functions of composition~
Answers
(2t+3)(t-1)
2t^2 - 2t + 3t -3=
2t^2 + t -3
Simplify (6⁴)³
A. b
B. b³
C. b⁹
D. b¹²
Answers
it would be b^12
Hope this helps <3
Help pls
The first few partial sums of a series consisting of only
positive terms are shown.
Answers
Answer:
The partial sums are increasing in value.
The series converges to the same value as what the partial sums approach.
The partial sums appear to approach 0.33.
The series might converge to One-third.
Step-by-step explanation:
Answer:
The partial sums are increasing in value.
The series converges to the same value as what the partial sums approach.
The partial sums appear to approach 0.33.
The series might converge to One-third.
Step-by-step explanation:
What is a simplified eCarlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?Xpression for (x + y) – (x – y)?
Answers
Questions:
(a) What is a simplified expression for (x + y) – (x – y)?
(b) Carlotta thinks that [tex]3y + 5y^3[/tex] is the same as [tex]8y^4[/tex]. Which statement shows that it is NOT the same?
Answer:
[tex](x + y) - (x - y) =2y[/tex]
[tex]3y + 5y^3 \ne 8y^4[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex](x + y) - (x - y)[/tex]
Required
Simplify
[tex](x + y) - (x - y)[/tex]
Open brackets
[tex](x + y) - (x - y) = x + y - x + y[/tex]
Collect Like Terms
[tex](x + y) - (x - y) = x - x+ y + y[/tex]
[tex](x + y) - (x - y) = y + y[/tex]
[tex](x + y) - (x - y) =2y[/tex]
Solving (b):
Given
[tex]3y + 5y^3[/tex] and [tex]8y^4[/tex]
Required
Which expression shows they are not the same
The expression that shows this is:
[tex]3y + 5y^3 \ne 8y^4[/tex]
Take for instance; y=2
Substitute 2 for y in [tex]3y + 5y^3 \ne 8y^4[/tex]
[tex]3*2 + 5*2^3 \ne 8*2^4[/tex]
Evaluate all exponents
[tex]9 + 5*8 \ne 8*16[/tex]
[tex]9 + 40 \ne 128[/tex]
[tex]49 \ne 128[/tex]
The above expression supports [tex]3y + 5y^3 \ne 8y^4[/tex]
Which of the following represents the lowest speed in miles per hour?
6 miles in 1/8 hour
11 miles in 1/4 hour
16 miles in 3/8 hour
20 miles in 1/2 hour
Answers
Answer:
C . 16 miles in 3/6 hour. Because 3/6 is 1/2. So, the answer would basically be 16 miles in 1/2.
Need help please will give brainliest
Answers
Answer:
x = 60
Step-by-step explanation:
The formula for this kind of question is
Area of sector = x / 360 * pi * r^2 = 24*pi
x/360 * pi * 12^2 = 24 pi
x/360 * pi * 144 = 24 pi the pi s cancel out
x / 360 = 24/144 Multiply both sides by 360
x = 24 * 360/144
x = 60
Please help me! Brainliest to the correct answer along with 25 points, no point thieves please! If I don't get this right I might fail my class! The question is in the picture!
Answers
Answer:
Option D
Step-by-step explanation:
5 * 58
= 5 ( 50 + 8 ) ~This is because 50 + 8 is the same as 58, essentially rewriting the problem
5 * 50 + 5 * 8 ~This is distributing the 5, so every term in this the parenthesis is multiplied by 5
250 + 40 ~This is simplifying the problem
290 ~This is the final answer
Answer:
my mind cant take that Kacchan, you know that....
Step-by-step explanation:
sorry I couldn't help Kacchan!!!
Love: Deku <3
Find the slope (m) of the line
that passes through the pair of
points
(4.5, 5.7) and (14.5, 18.9)
Answers
pls help me answer this :’)
Answers
Answer:
Commutative and multiplicative identity
Step-by-step explanation:
mark brainlyist
Given that f ( x ) = x 2 − 6 x + 8 f(x)=x 2 −6x+8 and g ( x ) = x − 2 g(x)=x−2, find f ( x ) + g ( x ) f(x)+g(x) and express the result in standard form.
Answers
Answer:
Step-by-step explanation:
Your problem → f(x) = x^2 - 6x + 8,g(x) = x - 2,find f(x) + g(x)
f(x)=x^2-6x+8
g(x)=x-2
f(x)+g(x)=?
Now f(x)+g(x)
=(x^2-6x+8)+(x-2)
=x^2-6x+8+x-2
= x^2 - 6x + x + 8 -2
=x^2 -5x + 6
I can't change it to standard form but i hope this helps:)
The sum of two numbers is 30 and their difference is 12, what are the two numbers
Answers
Answer:
Sum: 21 + 9 = 30
Difference: 21 - 9 = 12
Step-by-step explanation:
Let the number is a and b
The sum of two numbers =30
so,a+b=30 ............(1)
The difference of two number =12
so,a-b=12 .................(2)
If we add two equation (1) and (2)
we get,
a+b+a-b=30+12
2a=42
[tex]\tt{ a=\dfrac{42}{2} }[/tex]
[tex]\tt{ a=21 }[/tex]
so,one number is a=21
if we put the value a in (2) equation
we get,
a-b=12
21-b=12
b=21-12
b=9
so,the another number is=b=9
[tex]\tt{ the~two~ number~ are~ 21 ~and~ 9 }[/tex]
Question 6 of 10
Two triangles that have the same side lengths will always be congruent.
A. True
B. False
Answers
Answer:
True.
Step-by-step explanation:
We have to tell about the statement true or false
Two triangles that have the same side length will always be congruent
The SSS congruency rule states that if all three sides of one triangle are equal to corresponding three sides of another triangle, then the triangles are congruent.
∴ we say that when the sides are the same then the triangles are congruent.
Hence, the statement is true.
Because the definition of a congruent triangle is a triangle with every side of same length.
Charlotte measures the distance from the center of a circular garden to its edge and finds it is 43 meters. How long is the path which goes around the outside of the garden?
Answers
Answer: 270.29 meters
Step-by-step explanation:
This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.
The length of the path which goes around the garden would therefore be the circumference.
Circumference = π * diameter
Diameter = radius * 2
= 43 * 2
= 86 meters
Circumference = 22/7 * 86
= 270.29 meters
Find the roots for y = (2x-3)(x+5) (The x values)
Answers
Answer:
x = [tex]\frac{3}{2} , -5[/tex]
Step-by-step explanation:
We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.
The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.
1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:
[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]
Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.
2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:
[tex]x+5 = 0\\x = -5[/tex]
Therefore, -5 is a root as well.
The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.
find the magnitudes of 9.109 X 10^-31
Answers
9514 1404 393
Answer:
9.109×10^-31
Step-by-step explanation:
The magnitude of a positive number is the number itself.
9.109×10^-31
What is 12.6254748322 rounded to nearest tenth
Answers
Answer:
12.6
Step-by-step explanation:
Answer:
13.0
Step-by-step explanation:
A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden. (Hint: A=LW where, L is the Lenght and W is the Width). Simplify
Answers
Answer:
The answer is 6x² - 21x.
Step-by-step explanation:
You have to substitute the expressions inro the formula :
[tex]A = length \times width[/tex]
[tex]let \: l = 2x - 7,w = 3x[/tex]
[tex]A = (2x - 7) \times 3x[/tex]
[tex]A = 3x(2x - 7)[/tex]
[tex]A = 6 {x}^{2} - 21x[/tex]
The area of the rectangular garden is 6x² - 21x.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, The area of a rectangle is (length×width).
Given, The rectangular garden has a length of (2x - 7) and a width of 3x.
Therefore, The area of the garden is,
= (2x - 7)×3x.
= 6x² - 21x.
= x(6x - 21).
learn more about rectangles here :
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Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
O x + y = 100, 5x + 2y = 29
0 5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29
Answers
Answer: From the conditions given, the total number of the problems should be 29. This means that the sum of x and y should be 29. With this and the point-system, the best system of equation that is useful for this problem is,
x + y = 29
5x + 2y = 100
Your first answer choice is the correct answer.
Fact: I suggest looking up the question before asking it because sometimes others have asked the questions and it will be answered. Just letting you know to help you save points.
Answer:
x + y = 29, 5x + 2y = 100
Step-by-step explanation:
just did it
Solving linear equation study island
Answers
Answer:
Step-by-step explanation:
(x-9)/5))(5) = 2(5)
answer is B
Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text by 20\text{ cm}20 cm20, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below. What is the volume of the art box not taken up by the eraser?
Answers
Answer:
1196cm^3
Step-by-step explanation:
The height of the box with the smaller base is 4 times larger than that of the box with the larger base.
What is the volume of a rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
The volume of a box is the product of the base area and the height of the box,
Volume = base area × height
For the smaller base box,
base = 5 cm by 5 cm,
Therefore, the base area of the smaller base box
= 5 cm × 5 cm
= 25 cm².
Let the height of the smaller base box be h
The volume of the small box = 25 cm² × h
For the larger base box,
The base of 10 cm by 10 cm
Therefore, the base area of the larger base box
= 10 cm × 10 cm
= 100 cm².
Let the height of the large base box be H.
The volume of the larger base box = 100 cm² × H
Since both boxes have the same volume so,
100 cm² × H = 25 cm² × h
h / H = 4
h = 4H
Hence, The height of the box with the smaller base is 4 times larger than that of the box with the larger base.
Learn more about a rectangular prism;
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PLEASD HELP!!! I have no clue how to do this
Answers
Step-by-step explanation:
[tex]for1 \\ x =8 \\ y = x \sqrt{2} = 8 \sqrt{2 } = 11.31[/tex]
[tex]for2 \\ x =25 \sqrt{2} = 35.36 \\ y = 25[/tex]
[tex]for3 \\ 19 = x \sqrt{2} \\ x = \frac{19}{ \sqrt{2} } = 13.44 \\ y = 13.44 \\ [/tex]
help! Giving out extra points and brainlist
Answers
Simplified its 4/1
Y intercept is (0,3)
Slope -2
I hope this helped :)
For the problem below, find the percent of change. Then decide whether is it a percent increase or a percent decrease. Round to the nearest whole
percent if necessary.
100 acres to 140 acres:
Answers
Answer:
cx
Step-by-step explanation:
g
Pls help !!! Thank you
Answers
Answer:
y-10=2/3(x-8)
Step-by-step explanation:
(y2-y1)/(x2-x1) is the equation for slope so put your points in you get 2/3 once simplified then its just a matter of putting points in the equation y-y1= m(x-x1)
Find −369+(−7) need help
Answers
Answer:
-376
Step-by-step explanation:
I hope that this helps you out..
Answer:
-376
Step-by-step explanation: