Can someone tell me how to do this?
Answer:
For #21, x = 35, y = 85
Step-by-step explanation:
For these types of problems, you will simply use to facts. The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent. With that being said, let's work #21.
We can see that there are two lines, and we are given 2 values to find with 3 possible equations.
[1] ( 2x + 25 ) + y = 180
[2] y + ( 3x - 10 ) = 180
[3] 2x + 25 = 3x - 10
Using any of these equations, we can solve for the variables. Let's use the 1st and 3rd equations to find x and y.
2x + 25 = 3x - 10
2x + -2x + 25 + 10 = 3x + -2x + -10 + 10
35 = x
Now plug in the value of x to find y:
( 2x + 25 ) + y = 180
( 2(35) + 25 ) + y = 180
( 70 + 25 ) + y = 180
95 + y = 180
y = 85
We can check these values by plugging into the 2nd equation
x = 35 ; y = 85
y + ( 3x - 10 ) = 180
(85) + (3(35) - 10) = 180
85 + ( 105 - 10) = 180
85 + 95 = 180
180 = 180
Thus, we have validated our results and found the values of x and y.
Cheers.
the sum of a number x and 10
Answer:
x + 10
Step-by-step explanation:
x and 10 are not the same
The sum of the numbers x and 10 is ( x + 10 ).
What is summation?The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
The given numbers are x and 10. The sum of the given numbers x and 10 is calculated as:-
Sum = x + 10
Hence, the sum is ( x + 10 ).
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[Giving Brainliest] What is [tex]2x+1[/tex]
Answer:
2x+1
Step-by-step explanation:
There is no way to simplify or solve any further. It's not even an equation, it's an expression.
we have 4 1/2 cups of chocolate chips. a batch of our madison cookies requires 3/4 cup of chocolate chips. how many batches can we make?
Answer:
You can make 6 batches of cookies.
Step-by-step explanation:
3/4 + 3/4 = 1 1/2 (2)
1 1/2 + 1 1/2 = 3 (4)
3 + 1 1/2 = 4 1/2 (6)
Answer:
6 batches
Step-by-step explanation:
4 1/2 divided by 3/4
is 6
4 1/2 / 3/4 = 6
so you can make six
is how many batches
you can make.
(i checked my answer with a calculator)
Find a polynomial F(x) of degree 3 with real coefficients and the following zeros. 4,1-i help fast please?
Answer:
f(x) = x³ - 6x² + 10x - 8
Step-by-step explanation:
Complex zeros occur as conjugate pairs, thus
Given x = 1 - i is a zero then x = 1 + i is also a zero
Given the zeros are
x = 4, x = 1 - i, x = 1 + i then the corresponding factors are
(x - 4), (x - (1 - i) ), (x - (1 + i ) ), that is
(x + 4), ( x - 1 + i), (x - 1 - i)
f(x) is then the product of the factors, that is
f(x) = (x - 4)((x - 1) + i)((x - 1) - i ) ← distribute the complex factors
= (x - 4)((x - 1)² - i² ) → i² = - 1
= (x - 4)(x² - 2x + 1 + 1)
= (x - 4)(x² - 2x + 2) ← distribute
= x³ - 2x² + 2x - 4x² + 8x - 8 ← collect like term
f(x) = x³ - 6x² + 10x - 8
The required polynomial is f(x) = x³ - 6x² + 10x - 8 which has a degree is 3 with real coefficients.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers.
The required polynomial F(x) of degree 3 with real coefficients and the following zeros. 4, 1-i
This means i.e.
x = 4, x = 1 - i, and x = 1 + i
As per the fundamental of algebra, the corresponding factors are (x - 4), (x - (1 - i) ), (x - (1 + i ) ),
The factors are (x + 4), ( x - 1 + i), and (x - 1 - i)
If the above corresponding factors are multiplied then we can find f(x)
f(x) = (x - 4)((x - 1) + i)((x - 1) - i )
f(x) = (x - 4)((x - 1)² - i² ) → i² = - 1
f(x) = (x - 4)(x² - 2x + 1 + 1)
f(x) = (x - 4)(x² - 2x + 2)
f(x) = x³ - 2x² + 2x - 4x² + 8x - 8
f(x) = x³ - 6x² + 10x - 8
Thus, the required polynomial is f(x) = x³ - 6x² + 10x - 8.
Learn more about the polynomial here:
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4. Mr. Y invested $2,000 in two accounts. One pays 7%
annual interest; one 5%. At the end of 1 year, Mr. Y
earned $155 in interest. How much had Mr. Y invested
in the account paying 7%?
Answer:
He invested approximately $2,215
Step-by-step explanation:
Mr Y invested $2000 in two accounts.
One pays 7%, and the other pays 5%.
At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.
Let the amount he invested be X, then
7% of X = 155
(7/100)X = 155
0.07X = 155
X = 155/0.07
= 2,215
He invested approximately $2,215
Violet was carrying around the steps to solve square root of 3x plus 1 = 4. On her way through the Math Factory, Violet dropped them and they mixed with other steps. Put the correct steps in order to solve square root of 3x plus 1 = 4.
Answer:
First, square both sides (d.) leaving 3x + 1 = 16
Second, subtract 1 from both sides (a.) leaving 3x = 15
Third, divide by 3 from both sides (e.) leaving x = 5
Answer: First D, then A, then E
Step-by-step explanation:
SOMEONE HELP PLEASE! 40 POINTS!!!! Answer these questions: 1. The relation {(-1, 4), (2, 7), (3, 7)} is a function. True False 2. The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3 x + 1. True False 3. What is the value of the 11th term in the sequence -3, -6, -12, -24, ...? -6,144 -118,098 -3,072 -354,294 4. All of the following statements describe the relation shown except _____. The diagram represents a function. The inputs are {-1, 0, 3, 4}. The outputs are {-2, -1, 1}. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}. 5. What is the function rule represented by the following table? x y 0 3 1 -1 2 -5 y = -2 x + 1 y = -3 x y = -2 x - 1 y = -4 x + 3
Answer:
1. True
2. False
3.-48
4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}
5. can you please put the points in parentheses becasue I cannot tell which pair is which. If you rephrase it I will comment the anwer
Step-by-step explanation:
Answer:
1. True
2. False
3.-48
4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}
Step-by-step explanation:
find the number whose 5 by 7 is 125
Answer:
175 is the correct answer
Step-by-step explanation:
175*5/7=125
A rental company charges $40 a day and 30 cents a mile for renting a truck. Michael rents a truck for 5 days, and his bill comes to $314. How many miles did he drive?
-3(2x - 7) + 4x = 15
solve for c
Answer:
x=3
Step-by-step explanation:
-6x+21+4x=15
-2x+21=15
-2x=15-21
-2x=-6/2
x=3
if f(x) = –2x – 5 and g(x) = -x + 7
find 9(f(-2))
Answer:
9(f(-2))= -9
Step-by-step explanation:
to find the answer you first have to find f(-2)
f(-2)=-2(-2)-5
which is: 4-5=-1
then you multiply your answer by 9, which equals -9
can i get brainliest, please? i only need 2 more
r is in the middle of pqs btw
Answer:
46
Step-by-step explanation:
5x = 3x - 2 + 34
5x = 3x + 32
2x = 32
x = 16
plug back in
3( 16 ) - 2
48 - 2
46
1A) When f(n) = 12, what is the value of n?
Answer:
Can't answer this
Step-by-step explanation:
For this question, I think you need to read more informations, find out the function
After you find out the function,
Replace f(x) as 12 and replace x with n
After that, try to solve it.
Good luck.
Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest tenth, what is the total length of Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest tenth, what is the total length of wood Mr.drew needs to make the sides of the sandbox
Answer:
26 ft.2
Step-by-step explanation
Divide 104 by 4 because the sandbox is a square. With a square all sides are equal length, so you just divide by the amount of sides.
Hope this helps. :)
What number is ten times greater than 10?
Answer:
100
Step-by-step explanation:
Multiply 10 by 10
+please help i dont know how to solve this
Answer:
thee answer is 3375ft
Step-by-step explanation:
Volume =length x width x height
V = 15ft x 15ft x 15ft
=3375 ft
can I please get brainly
4 square root of 18 simplified
Answer:
[tex]\sqrt{288}[/tex]
Step-by-step explanation:
What we have here is a radical: [tex]4\sqrt{18}[/tex].
Radicals can be made by dividing a number into a perfect square and a number, then taking the square root of the perfect square and putting it outside the square root symbol.
This means that the number here will be [tex]18\cdot(4^2)[/tex]
[tex]4^2 = 16\\\\16\cdot18=288[/tex]
Hope this helped!
the ratio of picnic tables to garbage cans in a new national park should be 5:2. the park design shows plans for 30 picnic tables in a small campground and 110 picnic tables in a large camp ground how many garbage cans should there be in each campground
Answer:
Small campground = 12 garbage cans
Large campground = 44 garbage cans
Step-by-step explanation:
Picnic tables : garbage cans
= 5 : 2
Small campground = Picnic tables : garbage cans
= 30 : x
5 : 2 = 30 : x
5/2 = 30/x
Cross product
5 * x = 2 * 30
5x = 60
x = 60/5
= 12
5 : 2 = 30 : 12
large camp ground = Picnic tables : garbage cans
5 : 2 = 110 : x
5/2 = 110/x
Cross product
5 * x = 2 * 110
5x = 220
x = 220/5
= 44
5 : 2 = 110 : 44
Therefore, there are 12 garage cans in the small campground and 44 garbage cans in the large campground
2-3x-5+9x=? Thank you to whoever gets the answer
Answer:
6x - 3
Step-by-step explanation:
Step 1: Write out expression
2 - 3x - 5 + 9x
Step 2: Combine like terms (x)
2 - 5 + 6x
Step 3: Combine like terms (constants)
-3 + 6x
Step 4: Rewrite
6x - 3
Solve the following equation 4x+4 = -3+2x+15
x = 4
Step-by-step explanation:4x + 4 = -3 + 2x + 15
4x - 2x = 15 - 3 - 4
2x = 8
x = 8 : 2
x = 4
write the phrase below as an algebraic expression.
seven less than a number t
Answer:
t-7
Step-by-step explanation:
Express 18.348 in the form p/q where p and q are integers, q≠ 0
Answer:
[tex]\frac{18348}{1000}[/tex]
Step-by-step explanation:
The 8 in the decimal part 0.348 is in the thousandths position, thus
18.348
= 18 [tex]\frac{348}{1000}[/tex]
= [tex]\frac{18(1000)+348}{1000}[/tex]
= [tex]\frac{18348}{1000}[/tex]
Add: 7/8 + 5/6 .......
Answer:
1 17/24
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
41/24
Decimal Form:
1.7083
Mixed Number Form:
1 17/24
Answer:
1 13/16
Step-by-step explanation:
7/8 x 6/6 = 42/48
5/6 x 8/8 = 45/48
45/48 + 42/48 = 87/ 48
87/48 = 1 39/48
1 39/48 = 1 13 /16
Hopefully this helps you :)
pls mark brainlest ;)
7.75 divided by 0.25 and 0.00942 divide by 0.314 pls iwant the answers and with the EXPLANATION
Answer:
7,75 chia cho 0,25 và 0,00942 chia cho 0,314=10480.47926
Step-by-step explanation:
explanation is arithmetic
Write an expression that represents each statement.
The total cost of my cell-phone bill for the 1st month, if lam charged a standard
of $50 plus.50 cents for each channel that I have in my package.
If f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (f o g) (x)?
Answer:
Step-by-step explanation:
evaluate the expression. 5^2. what is the value of the expression?
Answer:
25
Step-by-step explanation:
Any numbers to the 2nd powered are always squared. Whenever you are given an exponent, the base is the number that you multiply, and the power is one more than how many times you multiply the base number together. In this case, you multiply five by itself once to get 25 as your answer.
solve the system of equations using matrices and a calculator.
3x - 4y + 5z = -10
2x - y -2z = 12
x + y - z =15
(x, y, z) = (59/8, 6, -13/8)
Answer:
x = 59 / 8
y = 6
z = -13 / 8
Step-by-step explanation:
For this problem, you simply need to set up the augmented matrix for you to enter into the calculator. Once entered into the calculator, you will be given the values for x, y, and z. Here is the augmented matrix:
3x - 4y + 5z = -10
2x - y - 2z = 12
x + y - z = 15
3 -4 5 | -10
2 -1 -2 | 12
1 1 -1 | 15
Input this augmented matrix into the calculator and you will get these values for x, y, and z:
x = 59 / 8
y = 6
z = -13 / 8
Cheers.
Part 1
Using technology or other resources, research the average distance that each planet is from the Sun
(in kilometers). Once you have found the distance, create a chart showing each planet's distance
from the Sun. The Sun itself will not receive a label since it is your starting point. For example,
Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be
labeled with a distance of 57,909,000. Use the chart below to record your answers:(Add rows if
necessary)
Answer:
Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:
Planet Distance from Sun (in Km) Distance in scientific notation
Mercury 57,909,000 5.7909 X10^7
Venus 108.212.290.56 1.0821229056 X10^8
Earth 149,604,618.24 1.4960461824 X10^8
Mars 227,936,640 2.2793664 X10^8
Jupiter 778,412,020 7.7841202 X10^8
Saturn 1,433,442,700.8 1.4334427008 X10^9
Uranus 2,870,972,200 2.8709722 X10^9
Pluto 5,906,380,000 5.90638 X10^9
Step-by-step explanation:
:)