Answer: ∠1 = 48°, ∠2 = 42°
Step-by-step explanation:
Because it's a rectangle, NP and MQ are parallel lines. ∠2 and (3x)° are alternate interior angles and are therefore equal. NM and PQ are also parallel lines. ∠1 is equal to (2x + 20)° because they're also alternate interior angles.∠M = 90° = ∠1 + (3x)° = (2x + 20)° + (3x)°
2x + 20 + 3x = 90
2x + 3x = 90 - 20
5x = 70
x = 14
Because ∠1 = (2x + 20)°,∠1 = 2x + 20 = 2(14) + 20 = 28 + 20 = 48°
Because ∠2 = (3x)°,∠2 = 3x = 3(14) = 42°
(I hope this is right :\)
2/3 Marks
67 / 138 Marks
If a = -3, find the value of
a) 2a
b) a ^2
c) 3a^2
Answer:
- 6, 9 and 27
Step-by-step explanation:
Substitute a = - 3 into the expressions and evaluate
(a)
2a = 2(- 3) = - 6
(b)
a² = (- 3)² = 9
(c)
3a² = 3(- 3)² = 3(9) = 27
Does the point (1, 3) satisfy the equation y = 5x? yes no
Answer:
Nope
Step-by-step explanation:
we can graph y = 5x as y = 5 units up and one unit to the right
but for right now let me be specific on what i mean
Specifically:
y = 5x is a Slope-Intercept equation, the original Slope-Intercept equation would be y = mx + b but in this case, we don't have b so we're focusing now on y = 5x, but what are we suppose to do with 5x??? well 5x represents the slope of the line so to graph a slope, use rise over run = rise/run. so only 5 is being used so 5 = rise/run = 5/1.
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Answer: (1, 3) doesn't satisfy the equation
Answer:
No, it does not satisfy the equation
Step-by-step explanation:
Hi there!
We are given the equation y=5x and we want to know if the point (1,3) will satisfy the equation
If we substitute the values of a point into the equation, and the result is a true statement (ex. 2=2), then the point satisfies the equation
If we substitute the values of a point into the equation and the result is a false statement (ex. 0=7), then the point doesn't satisfy the equation
The reason for this is because when we plug the value of a point into an equation, we're seeing if the equation will pass through that given point.
So let's substitute 1 as x and 3 as y into y=5x
3=5(1)
multiply
3=5
The result is a false statement; therefore, the point doesn't satisfy y=5x
Hope this helps!
pa answer naman po!!!
[tex]\bold{{Answer:}}[/tex]
Tropical Rain Forest
1.B
2.A
3.Di ko alam
Coral Reefs
1.C
2.E
3.I
Mangrove Swamps
1.D
2.H
3.G
pa tama nalang kung mali ah
tao lang nag kakamali rin hehe
[tex]\bold\blue{{Answer:}}[/tex]
Tropical Rain Forest
1.B
2.A
3.F
Coral Reefs
1.C
2.E
3.I
Mangrove Swamps
1.D
2.H
3.G
Taga Pilipinas ka din ba o hindi?
bring the fraction: b/7a^2c to a denominator of 35a^3c^3
Answer:
5abc^2/35a^3c^3
Step-by-step explanation:
To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c
=35a^3c^3/ 7a^2c
Recall that
a^x/a^y = a^x-y
Hence
35a^3c^3/ 7a^2c = 5a^3-2c^3-1
= 5ac^2
Now multiply the numerator and denominator by the result
b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)
Recall that
a^x * a^y = a^x+y
Hence
b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3
please answer this I need help asap
Answer:
(12, 48 )
Step-by-step explanation:
Given the 2 equations
y = 5x - 12 → (1)
y = 3x + 12 → (2)
Substitute y = 5x - 12 into (2)
5x - 12 = 3x + 12 ( subtract 3x from both sides )
2x - 12 = 12 ( add 12 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Substitute x = 12 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 3(12) + 12 = 36 + 12 = 48
solution is (12, 48 )
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 28.8°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{3.9}{8.1}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{3.9}{8.1}[/tex] ) ≈ 28.8° ( to the nearest tenth )
Which best describes the end behavior of y = 7x^2
Answer:
Step-by-step explanation:
This is an even function (because it has an exponent that is an even number), and even functions have the end behavior of both tails going in the same direction. Because this is a positive even function, both of the tails are going up.
THE NO.(II) I DIDN'T GET f(3)=-f(9)
instead i got f(3)=f(9)..NO LINK PLS
Answer:
[tex]f(3)=-f(9)[/tex]
Step-by-step explanation:
We know that f(6) = 0 from (i), so let's do x = 3.
[tex]f(3+3)=f(3)+f(9)[/tex]
[tex]0=f(3)+f(9)[/tex]
Therefore,
[tex]f(3)=-f(9)[/tex]
I hope it helps you!
If f(-x) = 0, what is x?
O only
-6 only
-2,1, or 3 only
-6,-2, 1, or 3 only
Answer:
3rd option
Step-by-step explanation:
f(x) = 0 are the points on the x- axis where the graph crosses, the zeros
The graph crosses the x- axis at - 2 , 1 and 3
Write an equation that represents the line.
Answer:
y = 7/5x + 7
Step-by-step explanation:
Apply the distributive property to create an equivalent expression.
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals
Answer:
[tex]4x-8+4y[/tex]
Step-by-step explanation:
We are given that an expression
[tex]4(x-2+y)[/tex]
We have to find an equivalent expression using distributive property .
Distributive property:
[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]
Using the property
[tex]4(x-2+y)=4(x-2)+4\cdot y[/tex]
[tex]4(x-2+y)=4x+4(-2)+4y[/tex]
[tex]4(x-2+y)=4x-8+4y[/tex]
Hence, the equivalent expression of the given expression is given by
[tex]4x-8+4y[/tex]
What’s the answer 3y+5<10
Answer:
y < 5/3
Step-by-step explanation:
3y + 5 < 10
Let's subtract 5.
3y < 5
Okay. We have something manageable. Let's divide by 3.
y < 5/3
That's our answer.
Question 1 of 10
Which function results after applying the sequence of transformations to
f(x) = x5?
• shift left 1 unit
• vertically compress by
3
• reflect over the y-axis
Answer: B) [tex]f\left(x\right)=\frac{1}{3}\left(-x-1\right)^{5}[/tex]
Step-by-step explanation:
When graphing x5 the parent function and plugging in the equation for B the only equation that fits the criteria of
*shifting left 1 unit
*vertically compressed by 1/3
*reflect over the y-axis
So the answer is B
The function after the transformation is f ( x ) = ( 1/3 ) ( -x + 1 )⁵
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x⁵
On reflecting over the y axis , we get
f ( x ) = ( -x )⁵
On vertically compressing by a factor of ( 1/3 ) , we get
f ( x ) = ( 1/3 ) ( -x )⁵
And , shifting 1 unit to the left , we get
f ( x ) = ( 1/3 ) ( -x + 1 )⁵
Hence , the transformed function is f ( x ) = ( 1/3 ) ( -x + 1 )⁵
To learn more about transformation of functions click :
https://brainly.com/question/26896273
#SPJ7
help pls!!
The functionſ is defined by f(x) = x(x + 3). If f(a) = 40 and a > 0, what is the value of a ?
A) 3
B) 5
C) 7
D) 8
Answer:
B) 5
Step-by-step explanation:
We are given the function:
[tex]f(x)=x(x+3)[/tex]
We are given that f(a) = 40 and a > 0 and we want to determine the value of a.
Substitute:
[tex]f(a)=40=a(a+3)[/tex]
Distribute:
[tex]a^2+3a=40[/tex]
Subtract 40 from both sides:
[tex]a^2+3a-40=0[/tex]
We can factor using 8 and -5. Hence:
[tex](a+8)(a-5)=0[/tex]
By the Zero Product Property:
[tex]a+8=0\text{ or } a-5=0[/tex]
Solve for each case:
[tex]\displaystyle a=-8\text{ or } a=5[/tex]
Since a > 0, we can eliminate the first solution. Hence:
[tex]a=5[/tex]
Our answer is B.
Jim is designing a seesaw for a children’s park. The seesaw should make an angle of 45 degrees with the ground, and the maximum height to which it should rise is 1 meter, as shown below: What is the maximum length of the seesaw? Choices: A) 1 meter B) 1.4 meters C) 2 meters D) 0.5 meters
Answer:
B) 1.4
Step-by-step explanation:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
The maximum length of the seesaw is 1.4 meters
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the length of the seesaw, hence using trigonometric ratio:
sin(45) = 1 / h
h = 1.4 meters
The maximum length of the seesaw is 1.4 meters
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
the segment shown below would form a triangle 9 4 11
A main purpose of doing an experiment over an observational study is to learn whether a certain _____ causes a certain response.
Answer:
condition
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.
Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).
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Quadrilateral A B C D is shown. The uppercase right angle, angle A, is 79 degrees.
What are the remaining angle measures if the figure is to be a parallelogram?
m∠B =
°
m∠C =
°
m∠D =
°
Answer:
m∠B =
✔ 101
°
m∠C =
✔ 79
°
m∠D =
✔ 101
°
Step-by-step explanation:
Answer:
The answer above is right!
The correct answers are:
First box: option C. 101
Second box: option B. 79
Third box: option C. 101
Step-by-step explanation:
Just got it right on edge - Hope it helps :)
Brainliest would be greatly appreciated :D
solve |5x+30|=10x ......
Answer:
Option A
Step-by-step explanation:
We need to solve out ,
[tex]\implies |5x + 30| = 10x [/tex]
We can write it as ,
[tex]\implies 5x + 30 = \pm 10x [/tex]
On simplyfing further,
[tex]\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x [/tex]
On solving the above equation , we will get ,
[tex]\implies \boxed{ x = 6,-2}[/tex]
Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .
Option A is correct .
please help me !! ! !
One hundred rats are being trained to run through a maze and are rewarded when they run through it correctly. Once a rat successfully runs the maze, it continues to run the maze correctly in all subsequent trials. The number of rats that run the maze incorrectly after t attempts is given approximately by Find the number of trials required such that only % of the rats are running the maze incorrectly. Round to the nearest trial.
Answer:
6 trials
Step-by-step explanation:
The number of rats that run the maze incorrectly after t trials ;
N(t) = 100e^-0.14t
Initial number of rats = 100
45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats
N(t) = 45
N(t) = 100e^-0.14t
45 = 100e^-0.14t
45/100 = e^-0.14t
0.45 = e^-0.14t
Take the In of both sides :
In(0.45) = In(e^-0.14t)
- 0.798507 = - 0.14t
Divide both sides by -0.14
- 0.798507 / - 0.14 = - 0.14t / - 0.14
5.7036 = t
To the nearest whole number :
Number of trials, t = 6 trials
Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. Which table represents this proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 12, 16. Column 2 is labeled Raisins (y) with entries 2, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 3, 6. Column 2 is labeled Raisins (y) with entries 8, 12, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 8, 12. Column 2 is labeled Raisins (y) with entries 2, 16, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 8, 12. Column 2 is labeled Raisins (y) with entries 3, 12, 18.
Answer:
Table 4 is the answer. Step-by-step explanation: Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. So, the ratio of peanuts to raisins is 2 : 3.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
GOT IT RIGHT edge 2021
answer asap --------------
Answer:
h(n) = - 5.3 [tex](-11)^{n-1}[/tex]
Step-by-step explanation:
This is a geometric sequence with explicit formula
h(n) = h(1) [tex](r)^{n-1}[/tex]
where h(1) is the first term and r the common ratio
Here h(1) = - 5.3 and r = - 11 , then
h(n) = - 5.3 [tex](-11)^{n-1}[/tex]
This equation has one solution.
3(x – 2) + 4x = 10(x + 1)
what is the solution?
-5
-2
-16/3
-16/7
Answer: -16/3
Step-by-step explanation:
[tex]3(x - 2) + 4x = 10(x + 1)\\3x - 2(3) + 4x = 10x +1(10)\\3x - 6 + 4x = 10x + 10\\7x - 6 = 10x + 10\\7x - 10x = 10 + 6\\-3x = 16\\x = \frac{16}{-3} =-\frac{16}{3}[/tex]
Answer:
-16/3
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Step 1 distribute the 3 to the x and -2
Outcome: 3x - 6 + 4x = 10(x + 1)
Step 2 distribute the 10 to the x and 1
Outcome: 3x - 6 + 4x = 10x + 10
Step 3 combine like terms
Outcome: 7x - 6 = 10x + 10
Step 4 add 6 to both sides
Outcome: 7x = 10x + 16
Step 5 subtract 10x from both sides
Outcome: -3x = 16
Step 6 divide both sides by -3
Outcome: x = -16/3
at what speed was jo walking for the first 30 minutes
Answer:
Bro a normal speed of a human is 3km/hr
And I don't know the speed of jo
Because u haven't written full question
Step-by-step explanation:
Please Mark me brainliest
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
prime factor of 8 and prime factor of 12
Answer:
2
Step-by-step explanation:
a prime factor is a factor that is a prime number
a prime number is a number that will have a fraction in the quotient if it's divided by any number other than itself
2 is the only prime factor shared between 8 and 12
Helppppp and explain tooo pls and thankyouuu
Answer:
--- ---
| -5 -2 |
| 4 12 |
--- ----
Step-by-step explanation:
A matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions . To add two matrices, just add the corresponding entries, and place this sum in the corresponding position in the matrix which results.
Help me please
I will mark you as brainliest
Answer:
In picture
Step-by-step explanation:
Brainliest please~
[tex](0,3)[/tex] and [tex](1,-2)[/tex]
Equation: (refer the image below)
Slope:
[tex]m=\frac{3+2}{0-1}[/tex]
[tex]m=-5[/tex]
Equation:
[tex]y=5x-b[/tex]
[tex]3=b[/tex]
Substitute (0,3)
Point: [tex](1,-2)[/tex]