Answer:
A linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We know that line f(x) passes through points (5, 0) and (10, 10)
Then the slope of f(x) is:
a = (10 - 0)/(10 - 5) = 10/5 = 2
then:
f(x) = 2*x + b
again, knowing that f(10) = 10 (because this line passes through point (10, 10) )
10 = 2*10 + b
10 = 20 + b
10 - 20 = b = -10
Then the equation of this line is:
f(x) = 2*x - 10
Now for g(x) we know that it passes through (-3, 0) and (2, 10)
then the slope is:
a = (10 - 0)/(2 - (-3)) = 10/5 = 2
g(x) = 2*x + b
And knowing that g(2) = 10 (because this line passes through point (2, 10) )
10 = 2*2 + b
10 = 4 + b
10 - 4 = b
6 = b
then:
g(x) = 2*x + 6
Then the equations are:
f(x) = 2*x - 10
g(x) = 2*x + 6
A) One transformation may be a vertical translation, and the other can be a horizontal translation.
This is a vertical translation, which is defined as:
For a function f(x), a vertical translation of k units is written as:
g(x) = f(x) + k
If k is positive, the translation is upwards
if k is negative, the translation is downwards.
And an horizontal translation of k units is written as:
g(x) = f(x - k)
if k is positive, the translation is to the right
if k is negative, the translation is to the left.
B)
For the vertical translation we have:
g(x) = f(x) + k
2*x + 6 = 2*x - 10 + k
6 = -10 + k
6 + 10 = k
16 = k
For the horizontal translation we have:
g(x) = f(x - k)
2*x + 6 = 2*(x - k) - 10
2*x + 6 = 2*x - 2*k - 10
6 = -2*k - 10
6 + 10 = -2*k
16 = -2*k
16/-2 = k
-8 = k
C)
The transformations are:
g(x) = f(x) + 16
or
g(x) = f(x - (-8))
what is the answer??? Please help me!
16% of 40 =
Answer:
16/100*40
32/2
lol so simple
gg
Im new to this tysm though if you help!:)
Answer:
60
Step-by-step explanation:
-12 * -5 = 60
Answer:
60
Step-by-step explanation:
Hey!
When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.
So -12(-5) is equivalent to 12(5) which is 60.
Hope I helped, Feel free to ask any questions if you need me to clarify!
Have a nice day!
-Aadi x
Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
If CD is not parallel to EF, what is m2C?
2. Given that set M = {Even numbers between 20 and 35), find n(m)
Step-by-step explanation:
Set M = {20,22,24,26,28,30,32,34}
n(M) = no. of elements in set M
i.e.
n(M) = 8
Answer:
7
Step-by-step explanation:
Even numbers between 20 and 35 are 22, 24, 26, 28, 30, 32, 34.
M = { 22, 24, 26, 28, 30, 32, 34}
There are 7 elements in the set M.
Thus, n(M) = 7
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
write an equation for the following problem
Answer:
x+68=90 degrees
Step-by-step explanation:
Answer:
90-68 or 68+22
Step-by-step explanation:
this works becuz it is a 98 degree angle
Find the perimeter of the given figure, help please!
Answer:
22.5 cm
Step-by-step explanation:
P=2(6.75)+2(4.5)
P=13.5+9
5.solve for x 6. solve for x
Answer:
x=10 , x=13
Steps:
5.
4x+5x=180-90
9x=90
x=90/9
x=10
6.
(3x+7)+(2x+3)=180-105
5x+10=75
5x=65
x=65/5
x=13
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]
[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]
⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]
⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]
----------------------------------------------------------
✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]
[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]
⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]
⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]
⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]
Hope I helped ! ✧
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer!
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points
question
(60-5.8) ÷ 5 - 3^2
can you please explain it in an essay type like words and not just show me the answer I need it to show me how you got the answer don't give me just the answer
Answer:
1.84
Step-by-step explanation:
First you solve what is in the parenthesis.
60 - 5.8 = 54.2
The equation is now 54.2 ÷ 5 - 3^2
Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.
Your equation is now 54.2 ÷ 5 - 9
You then divide 54.2 ÷ 5
54.2 ÷ 5 = 10.84
The last equation is 10.84 - 9
10.84 - 9 = 1.84
Answer:
Answer 1.84.
Step-by-step explanation:
The first person's answer and explanation is correct.
Hand Sanitizer question
Answer:
the first one
Step-by-step explanation:
Can someone plz help me with this the answer choices are at the bottom plz I beg u
Answer:
Step-by-step explanation:
Is this correct and if not what am I missing?
Answer:
Yes you are correct
The peak is at 5
Step-by-step explanation:
how to slove
y=15x+12
Answer:
0
Step-by-step explanation:
WILL GIVE BRAINLIEST
60 centimeters every 2.5 years 30 centimeters every 15 months are these equivalent? I NEED IT MY TEST IS TOMORROW and I am just really stumped on this.
Answer:
Yes, they are equivalent
Step-by-step explanation:
15 months= 1.25 years
60/2.5= 24
30/1.25 = 24
Answer:
Step-by-step explanation:
Since 2.5 years equals 2.5(12)=30months you have
60cm/30mo and 30cm/15mo these are equivalent because (2/2)(30/15)=60/30
short song i made what yall think of it?
20=c/5
can you show your work thanks
Someone help me I need this one fast
c = 20 × 5
c = 100
and that's all
Answer:
Step-by-step explanation:
Please help me with those questions please
Answer:
7.5
35.2
1.5
20
Step-by-step explanation:
1. vertical angles are equal
(2x+17)=(4x+2)
15= 2x
x= 7.5
2. adjacent angles equal 180
(2m+8)+(3m-4)= 180
5m+4= 180
5m= 176
m= 35.2
3. (30s+5)=(20s+20)
10s= 15
s=1.5
4. 4p+5p=180
9p=180
p=20
sorry that took so long. I was babysitting lol
Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.
Answer:
1 2/3
Step-by-step explanation:
7 1/2x2/9
The required number of tiles will be 34 covering the length of the entryway.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.
We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.
According to the given question, the required solution would be as:
So the number of tiles covering the length of the entryway will be
⇒ 7 1/2 ÷ (2/9)
⇒ 15/2 ÷ (2/9)
⇒ 15/2 / (2/9)
Reciprocal the term in the denominator
⇒ (15/2) x (9/2)
Apply the multiplication operation,
⇒ 135/4
Apply the division operation,
⇒ 34
Thus, the required number of tiles will be 34 covering the length of the entryway.
Learn more about Multiplication operations here:
brainly.com/question/25834626
#SPJ5
sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10
A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?
$19,076
$44,865
$44,436
$18,018
$62,454
Please help me find the answer ASAP
Answer:C Because there the same sides
PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.
Answer:
a + (6 -2)I'm not completely sure, but I hope this helps.
NEEED HELP PLEASEEEEE
Write a rate that represents the situation:
One possible rate is ( ) week(s) for ( ) every day(s).
Answer:
10/10
Step-by-step explanation:
Ez..........................................................
Sally flipped a penny 25 times and landed on heads 16 out of the 25 times. If she plans to flip the coin 100 times,
how many times can she expect to land on heads?
Answer:
50 times
Step-by-step explanation:
Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%
The area of a rectangle is 192 in ^2. The ratio of the length to the width is 4:3. Find the length and the width.
The length of the rectangle is ___ in.
The width of the rectangle is___.
Answer:
Length = 16 in
Width = 12 in
Step-by-step explanation:
Given:
Area of a rectangle = 192 in²
Ratio(length to width) = 4:3
Find:
Length and the width
Computation:
Ratio(length to width) = 4:3
So,
Length = 4a
Width = 3a
Area of a rectangle = Length x Width
192 = 4a x 3a
192 = 12a²
a² = 16
a = 4
Length = 4a = 4 x 4 = 16 in
Width = 3a = 3 x 4 = 12 in
Help!! I have 55 seconds to do this
Answer:
the answer is A
Step-by-step explanation:
78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer
WILL GIVE BRAINLIEST
Answer:
They only intersect once. (Correct letter is B)
Step-by-step explanation:
Slope Intercept Form:
2x - 4y = 3
-2x -2x
________
-4y = -2x + 3
Switch the signs of all of the numerals since you cannot have a negative 'y' value.
4y = 2x - 3
---- ---------
4 4
y= 1/2x - 3/4
-----------------------------------------------------------------------------------------------------------------
7y - 5x = 8
+5x +5x
----------------
7y = 5x + 8
---- ---------
7 7
y= 5/7x + 1 1/7
-----------------------------------------------------------------------------------------------------------------
After graphing the lines, you then can see that the lines only ever intersect once.
The measure of angle 1 is 39º. What is the measure of the angle
adjacent to angle 1? Explain.
Answer:
[tex]180 - 39 = 141[/tex]
141° is the answer