Answer:
12
Step-by-step explanation:
(2 + 2 + 2 + 6) × 2 ÷ 2 = 12
The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of function g? Replace the values of a and k in the function equation
Answer:
[tex]g(x) = \frac{6}{5}x + 8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 6x + 8[/tex]
[tex]k = 5[/tex] --- horizontal stretch factor
Required
Find g(x)
When a function is stretched horizontally by k, the resulting function will be:
Rule: [tex]g(x) = f(\frac{1}{k}x)[/tex]
So, we have:
[tex]g(x) = f(\frac{1}{5}x)[/tex]
Solve for: [tex]f(\frac{1}{5}x)[/tex]
[tex]f(\frac{1}{5}x) = 6 * \frac{1}{5}x + 8[/tex]
[tex]f(\frac{1}{5}x) = \frac{6}{5}x + 8[/tex]
Recall that:
[tex]g(x) = f(\frac{1}{5}x)[/tex]
[tex]g(x) = \frac{6}{5}x + 8[/tex]
Answer:
f(1/5x) = 6 ^1/5x +8
Step-by-step explanation:
A horizontal stretch by a factor of 5 means that the input, or x, is multiplied by : 1/5
What is the radius of the cone in the diagram? Round your answer to the nearest whole number.
Answer:
4
Step-by-step explanation:
help!! tell whether the triangle is a right triangle- i don’t need an explanation thank you!!
Answer:
1.) Right triangle
2.) Not right triangle
3.) Not right triangle
4.) Not right triangle
5.) Right triangle
6.) Right triangle
Step-by-step explanation:
The ones that are a right triangle have at least one angle that has an L shape
Can somebody please help me with this question? I’ll make brainliest
Answer:
constant term= 8
exponent of the third term= 1
Step-by-step explanation:
the constant is the term that does not have a variable/letter attached to it...that would be positive 8
the third term is 3y, but there is an "understood" exponent of 1 there...it's just useless to say [tex]3y^{1}[/tex]
The diagram shows a right-angled triangle.
All the measurements are in centimetres.
The area of the triangle is 18cm^2
Work out the length of the shortest side of the triangle.You must show all your working
Answer:
short side = 4
Step-by-step explanation:
area = 1/2BH
18 = 1/2(x - 1)(x + 4)
18 = 1/2(x² + 4x - x - 4)
multiply both sides of the equation by 2:
36 = x² + 3x - 4
x² + 3x - 40 = 0
(x + 8)(x - 5) = 0
x = 5
short side = 5 - 1 = 4
The shortest length of the right angled triangle is 4 cm.
Area of a triangle:area = 1 / 2 bhwhere
b = base
h = height
Therefore,
area = 18 cm²
18 = [tex]\frac{1}{2}[/tex] × (x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
(x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers.
Therefore,
x = 5
The shortest sides is definitely one of the 2 legs . The hypotenuse of a triangle is the longest side.
Therefore,
h = x - 1 = 5 - 1 = 4 cm
b = x + 4 = 5 + 4 = 9 cm
learn more on right angled triangle here: https://brainly.com/question/2292567?referrer=searchResults
Plz help me ........
Step-by-step explanation:
6x + 3x = 180
9x = 180
x = 20
m<SVW= 3(20) = 60 degrees
Help! The picture is with it to see the question
Answer:
8
Step-by-step explanation:
sqrt8*sqrt8 = sqrt8^2 = 8
Can someone please help me with math.
Answer:
the answer to the questions are c,b,a
HELP PLEASE Quadratic Equations Math Nation
Answer:
its 5/6
Step-by-step explanation:
we just group things around and we have this
36 m^2 - 60 m = -25
Alternate forms:
12 m (3 m - 5) = -25
36 m^2 - 60 m + 25 = 0
Solution:
m = 5/6
What is the value of x?
26°
x =
= [?]
Answer:
154°Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
26 - 26 = 0
180 - 26 = 154
x = 154°
Can someone please help me with this and if able to explain how I work it out please
Answer:
4 = [tex]\sqrt{15[/tex]
Step-by-step explanation:
ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
3 pages, with work pleasee
Answer:
isosceles trapezoidtrapezoidrhombussquarerectangleparllelogramquadrilateral10x+18+62=180 co interior angle10x=180-80
x=100/10=10
:.x=10
9.
8x+2=7x+14 corresponding angle of parallelogram are equal
8x-7x=14-2
x=12
10.
4x+4=5x+1 corresponding sides of parallelogram are equal
4-1=5x-4x
x=3
11.
4+3x=19corresponding sides of parallelogram are equal
3x=19-4
x=15/3
x=5
please help me, I lost my answer
b. Calculate the slope. (-9,-6) and (-6,-4)
Answer:
slope = 2/3
Step-by-step explanation:
Please I beg you help me.
If a baseball is projected upward from ground level with an initial velocity of 32 feet per second, then its height is a function of time, given by s = - 1612 +32t.
What is the maximum height reached by the ball?
The maximum height should be approximately 50.37 feet
PLSSSS DO NOT GIVE ME FILES
Read the sentences.
Some people train by climbing and swimming. Others train with running, biking, and weightlifting.
Select the sentence that correctly combines these sentences using semicolons.
Some people train by climbing and swimming, others train with running; biking; and weightlifting.
Some people; train by climbing and swimming, others train with running, biking, and weightlifting.
Some people train by climbing and swimming; others train with running; biking; and weightlifting.
Some people train by climbing and swimming; others train with running, biking, and weightlifting.
28.4 grams = ? ounces
solve for x . Leave your answer in the simplest form
Hello!
Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.
I can see here that this can be divided into a triangle and a rectangle using a horizontal line.
The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.
This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
[tex]6^2+7^2=c^2[/tex]
[tex]36+49=c^2[/tex]
[tex]c^2=85[/tex]
[tex]c=\sqrt{85}[/tex]
Which is in simplest radical form.
Hope this helps!
What is the slope of the line through ( 10, 1) and (0,4)?
khan Academy
Answer:
-1/2
Step-by-step explanation:
[tex]y^{2} = -4 \\y^{1} =-1\\x^{2} = 0\\x^{1} = -10[/tex]
Using the formula [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
[tex]\frac{-4-1}{0-(-10)}[/tex]
Simplifly
[tex]\frac{-5}{10} = \frac{-1}{2}[/tex]
Please help! Will give Brainliest!
BRAINLIEST-
Find the volume of the figure
Answer:
4080cm²
Step-by-step explanation:
The volume, V, of any cube with side length, s, can be determined using the formula V = s3 . What is the volume, in cubic centimeters, of a cube with a side length of 0.2 centimeters?
A
3.2
B
0.6
C
0.006
D
0.008
HELP ME PLEASEEEEEEE I WILL GIVE BRAINLIEST PLZ HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
pretty simple, you should get 1824
Step-by-step explanation:
first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help
Write a true equation based on this diagram
8) The total weight of 15 boxes is 45 pounds. How much would 40 boxes weigh?
Answer:
120 pounds I think
Step-by-step explanation:
Answer:
120 pounds
Step-by-step explanation:
[tex]\frac{15}{45}[/tex] = [tex]\frac{40}{x}[/tex] so then you would cross multiply : 15x=40 times 45
and then solve: 15x= 1800
x= 120
Find an expression to represent the perimeter of the triangle below.
The perimeter of a triangle is (x+10)/(x+3) units.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The sides of given triangle are 2/(x-3), (x²-21)/(x²-9) and 5/(x+3).
Perimeter = 2/(x-3) + (x²-21)/(x²-9) + 5/(x+3)
= 2(x+3)/(x²-9) + (x²-21)/(x²-9) + 5(x-3)/(x²-9)
= (2x+6+x²-21+5x-15)/(x²-9)
= (x²+7x-30)/(x²-9)
= (x²+10x-3x-30)/(x²-9)
= (x(x+10)-3(x+10)/((x-3)(x+3))
= ((x+10)(x-3))/((x-3)(x+3))
= (x+10)/(x+3)
Therefore, the perimeter of a triangle is (x+10)/(x+3) units.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
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Question 6
Determine if the question posed is a statistical question (yes) or not (no).
Which tree is the tallest in the park?
Answer:
Yes this is a statistical question because of how they want to measure the tress to find out how tall are all of them and then to find out which is the tallest.
I will give you BRAINLIEST for the correct answer
Answer:
48 in³
Step-by-step explanation:
volume=length*breadth*height
=12*2*2
A cylindrical container has a radius of 7 feet and a height of 2 feet. What is the volume of the container to the NEAREST WHOLE FOOT?
Answer:
308 feet ^3
Step-by-step explanation:
Volume of a cylinder: V=πr^2h
Substituting radius = 7 and height = 2:
V = π (7)^2 (2) = 307.88 ~= 308 feet ^3
please help me and no links this is due in 10 mins ill give you the crown
Answer:
angle Q is 68°
angle R is 112°