Answer:
2/5
Step-by-step explanation:
First, we need to find the slope of line a. To do this, we subtract the two y values and then the two x values and divide these two differences.
10-5=5
6-8=-2
5/-2= -5/2
A perpendicular line's slope will always be equal to the negative reciprocal of the intersects. So, we just flip the numerator and denominator and then add a negative to our first slope to get the slope of line b.
-2/5
--2/5
2/5
Have a wonderful day! :D
Given that f(x) = 3x – 2
and g(x) = 2x,
evaluate f(g(-1))
254356547654566556688754678
5.
Which of the following triangles is similar to the triangle shown below?
The first triangle is similar with given triangle.
Similar triangle:Two triangles are said to be similar, when corresponding sides of both triangles are in equal proportion and corresponding angles are equal.
From first option, It is observed all the sides of triangle are in the proportion with given triangle dimensions.
Given triangles dimensions are [tex]3,4[/tex] and [tex]5.[/tex]
First option triangles has dimensions [tex]6,8[/tex] and [tex]10[/tex].
Since, [tex]\frac{3}{6} =\frac{4}{8} =\frac{5}{10}=\frac{1}{2}[/tex]
Therefore, first triangle is similar with given triangle.
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Hey i need this for an Exit ticket can i get some help?
Answer:
(-1,-1)
Step-by-step explanation:
Plug in to the equation.
y=2x+1
-1=2(-1)+1
-1=-2+1
-1=-1 :)
Answer:
See belowStep-by-step explanation:
Given:
Line y = 2x + 1There are two ways of finding if the points belong to the graph:
1. Graph the line and plot the points and confirm visually.
This is added for you, see attachedGreen line and green points are those given. It is visible all points are on the line apart from two of them: (0.5, 1) and (2, -1)The red points are additional ones2. Plug in the values into equation and confirm.
You have done couple of them and this can be continued to all listed points.Additional points are calculated same way.Which of the following is not a polynomial?
a. -9/8
b. x2 - 9
c. 9/x + x/8
d. x2 - 9+ 8x
What is the slope to this graph?
A worm squiggles 10 cm in 5 minutes. What was it average speed
Find the values of x and y . Then find the measures of the interior angles of the polygon.
Step-by-step explanation:
It is a cyclic quadrilateral.
The sum of interior angles of this polygon is equal to 180 degrees.
ATQ,
2x+26y=180
x+13y=90 ....(1)
3x+21y=180
x+7y=60 ....(2)
Subtract equation (1) from (2).
x+7y-(x+13y) = 60-90
x+7y-x-13y=-30
-6y=-30
y = 5
Put the value of y in equation (1
x+13(5) = 90
x+65=90
x = 90-65
x = 25
So,
∠DAB = 26y = 26(5) = 130°
∠ABC = 3x = 3(25) = 75°
∠BCD = 2x = 2(25) = 50°
∠ADC = 21y = 21(5) = 105°
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Property of a cyclic quadrilateral: Sum of the opposite angles of a cyclic quadrilateral is 180°.
From the picture attached,
ABCD is a cyclic quadrilateral. m∠A = 26y°, m∠B = 3x°, m∠C = 2x° and m∠D = 21y°By using the property of cyclic quadrilateral,
m∠A + m∠C = 180°
26y + 2x = 180
13y + x = 90 --------(1)
m∠B + m∠D = 180°
3x + 21y = 180
x + 7y = 60 --------(2)
Subtract equation (2) from (1),
(13y + x) - (x + 7y) = 90 - 60
6y = 30
y = 5
Substitute y = 5 in equation (1),
13(5) + x = 90
x = 90 - 65
x = 25
Substitute the values of 'x' and 'y' to get the measures of the angles,
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
Therefore, values of the variables will be,
x = 25, y = 5
m∠DAB = 26(y) = 180°
m∠ABC = 3x = 75°
m∠BCD = 2x = 50°
m∠ADC = 21y = 105°
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Pipe with an OD of 6.03 cm and an ID of 4.93 cm carries steam at 250◦C. The pipe is cov- ered with 2.5 cm of magnesia (85%) insulation followed by 2.5 cm of polystyrene insulation (k = 0.025 W/m · K). The temperature of the exterior surface of the polystyrene is 25◦C. The thermal resistance of the pipe wa
Bdhxhdjjd helpppll & I’ll give you a star +15 points
A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes are there when choosing a marble from the bag?
1. 4
2. 11
3. 14
4. 16
Answer:
the answer is.....wait for it.....
16
Step-by-step explanation:
A full glass of water can hold 1/6 of a bottle
How many glasses of water can be filled with 3 1/2 of water
Answer:
21
Step-by-step explanation:
Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.
Answer:
21.
Step-by-step explanation:
That would be 3 1/2 divided by 1/6.
= 7/2 / 1/6
= 7/2 * 6
= 42/2
= 21 glasses.
# 7. X/4=-2.5
# 8. -22=n/2
# 9. 1/3z=-5
# 10. -1/4x=5/2
Solve the equation for the value of the equation for the value of the variable show all work please please solve this problem for me please I am very late on it
Step-by-step explanation:
7. x/4=-2.5
x = -2.5/4= 5/8
8. -22=n/2
n = -22×2 =-44
9. 1/3z = -5
z = -5×3 =-15
10. -1/4x=5/2
-2=5×4x
-2=20x
x=-20x/2=-10
Please help.
3 more than 2 times a number is equal to that number plus 4. What is the number?
Answer:
number is 1
Step-by-step explanation:
let the number be n , then 2 times the number is 2n and 3 more than this is
2n + 3 , so
2n + 3 = n + 4 ( subtract n from both sides )
n + 3 = 4 ( subtract 3 from both sides )
n = 1
That is the number is 1
The required number is 1 which represents "3 more than 2 times a number is equal to that number plus 4"
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
Let the required number would be x.
According to the given question, translate the phrase into an algebraic equation:
3 + 2x = x + 4
Subtracting x from both sides gives:
3 + 2x - x = x + 4 - x
Simplifying the left side gives:
3 + x = 4
Subtracting 3 from both sides gives:
3 + x - 3 = 4 - 3
Simplifying the left side gives:
x = 1
Therefore, the required number would be 1.
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Find x
Tan(x) = 1 - (Sqroot2)
Answer:
16.32495 degrees
Step-by-step explanation:
1- sqrt/2 = (2-sqrt2)/2
x = arctan((2-sqrt2)/2) = 16.32495 degrees
express the following linear equation in the form of ax+by+c=0 and indicate the value of a,b and c. 2x+3y=-5
Answer:
2x+3y+5=0
a = 2 b = 3 c=5
Step-by-step explanation:
We are asked to express 2x+3y=-5 in the form ax+by+c=0
Add 5 to both sides
2x+3y+5=0
We can now find the values of a, b and c now that the equation is in standard form.
[tex]f(x)= \frac{X^2-x-12} {5x^2+4x}[/tex]
Find all x-intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of x-intercepts.
Answer:
(- 3, 0 ), (4, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0
[tex]\frac{x^2-x-12}{5x^2+ 4x}[/tex] = 0
The denominator cannot equal zero as this would make f(x) undefined.
Equate the numerator to zero and solve for x
x² - x - 12 = 0 ← in standard form
(x - 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
x- intercepts are (- 3, 0 ) and (4, 0 )
A 14-meter ladder leans against a building forming a 30° angle with the building. Exactly how
high is the ladder on the building in meters? Round to the nearest hundredth (2 digits after the
decimal).
Answer: 12.12 m
Step-by-step explanation:
Given
length of ladder L=14 m
the ladder makes an angle of [tex]\theta=30^{\circ}[/tex] with the building
With the help of a diagram, we can write
[tex]\cos \theta=\frac{\text{h}}{\text{L}}[/tex]
[tex]\cos 30^{\circ}=\frac{h}{14}[/tex]
[tex]h=14\cos 30^{\circ}[/tex]
[tex]h=12.12\ m[/tex]
WILL GIVE BRAINLIEST!! The yearly population of a city with a 3% yearly growth rate and an initial population of 30,000 can be modeled by the following function where x is time, in years, from 2015.
f(x) = 30,000(1.03)x
The mathematical domain of this function is all real numbers, and its range is all y-values greater than zero.
Which statements describe how the reasonable domain and range compare to the mathematical ones? Check all that apply.
The reasonable domain has a minimum value.
The reasonable domain does not include zero.
The reasonable range has a minimum value of 30,000.
The reasonable range includes zero.
The reasonable range has an implied, but unknown, maximum value.
1, 3, 5
The reasonable domain has a minimum value.
The reasonable range has a minimum value of 30,000.
The reasonable range has an implied, but unknown, maximum value.
Step-by-step explanation:
1. Years cannot be anything below 0.
2. The domain includes 0 because the answer can be the initial value.
3. 30,000 is the initial value and is the minimum solution.
4. The range has a minimal of 30,000.
5. Logically, we know city populations cant be numbers like a billion but we prove that mathematically.
Answer:
1. The reasonable domain has a minimum value.
3.The reasonable range has a minimum value of 30,000.
5.The reasonable range has an implied, but unknown, maximum value.
Step-by-step explanation:
Helppp timeee!!! Plsss
Answers:
Problem A: 26.34
Problem B: 90.537
Problem C: 309.02
Problem D: 170.084
What is the slope of y=5x-1
Answer:
The slope is 5
Step-by-step explanation:
Answer:
the slope of y= 5x-1 is m=5.
The side included by A and ARB is
what is y-2=-3 (x-7) in standard form
A.y-2=--3x+21
B.y=-3x+23
C.3x+y-23=0
D.3x+y=23
9514 1404 393
Answer:
D. 3x +y = 23
Step-by-step explanation:
If you know what "standard form" is, then you recognize that only one offered answer choice is actually in standard form. That is the correct choice.
3x + y = 23
_____
Standard form for a linear equation is ...
ax +by = c
where a, b, c are mutually prime integers and a ≥ 0. If a = 0, then b > 0. (The leading coefficient is positive.)
This equation shows how the total number of quizzes Angie has ever taken in high school depends on the number of weeks she has attended school this quarter.
q = w + 3
The variable w represents the number of weeks she has attended school this quarter, and the variable q represents the total number of quizzes she has ever taken in high school. How many weeks of school will Angie have to attend this quarter before she will have taken a total of 12 quizzes?
Answer:
9 weeks
Step-by-step explanation:
Knowing that the "q" is the total number of quizzes, you can set the equation equal to 12, and solve for w.
12 = w + 3 Subtract 3 both sides
9 = w
Can someone help me, I’m not good at math
Answer:
The answer will br 24.7
Step-by-step explanation:
Plus the breadth the height and the 7cm
Step-by-step explanation:
a = 7 cm
b = 10.4 cm
h = 6.7 cm
Area of trapezium = ?
we have the formula
Area of trapezium
= 1/2 * h ( a + b)
= 1 / 2 * 6.7 ( 7 + 10.4)
= 1/2 * 6.7 * 17.4
= 1/2 * 116.58
= 58.29 cm²
Hope it will help :)
Amanda is making cookies and only needs 3/5 of the 10 ounce bag of peanut butter
chips that she has in her pantry. How many ounces of the peanut butter chips does
Amanda need?
heese's
Peanut Butter CHIPS
1/5
1/5
1/5
Answer:
She needs 6 ounces of peanut butter chips.
hope this helped :-)
Step-by-step explanation:
10:5=2
1/5 = 2
1/5+1/5+1/5=
2+2+2=
2*3=6
From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?
Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
Mike, a Salvation Army bell ringer, has 20% as many quarters as nickels in his cup. If Mike has $6.00 in quarters and nickels, how many nickels does he have?
If If Mike has $6.00 in quarters and nickels, then the number of nickels Make have are 60.
Let's assume that the number of nickels in Mike's cup is "N." Since Mike has 20% as many quarters as nickels, the number of quarters can be expressed as 0.20N.
Now, we know that the total value of the quarters and nickels is $6.00. The value of each nickel is $0.05, and the value of each quarter is $0.25.
So, we can set up the equation:
0.05N + 0.25(0.20N) = 6.00
Now, let's solve for N:
0.05N + 0.05N = 6.00
0.10N = 6.00
N = 6.00 / 0.10
N = 60
So, Mike has 60 nickels in his cup.
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please help me with this and pls don't answer if you don't know it.
Answer:
See below.
Step-by-step explanation:
The 3 marked angles add up to 360 degrees.
5x + 12 + 10x - 37 + 9x + 1 = 360
24x - 24 = 360
24x = 384
x = 384/24 = 16
The large angle at C = 10(16) - 37
= 160 - 37 = 123 degrees.
So m <BCA = 180 - 123
= 57 degrees (adjacent angles add up to 180).
Plzz hellllllppppp mmeeeeeee
Answer:
Step-by-step explanation:
first do (x + 6)(x+6)
= (x^2 + 6x + 6x + 36)
multiply all by 2
2x^2 + 12x + 12x + 72
simplify and subtract 50
2x^2 + 24x + 72 - 50
2x^2 + 24x + 22
hope this helps <3
joan needs $60 for a class trip. She has $32. She can earn $4 an hour mowing lawns. How many hours must Joan to have the money she needs?
Joan has 32$. And makes 4$ every hour of mowing lawns.
60-32=28.
So what we will do to solve this problem is multiply 7 by 4.
7x4= 28.
32+28=60.
This means that Joan needs to work 7 hours in total to earn $28.