Answer:
A.
Explanation:
Just plug in the points to each equation.
A. x + 2y = 2
Plugging in (-6,4) (-6) + 2(4) = 2 ---> -6 + 8 = 2
Plugging in (2,0) (2) + 2(0) = 2 ---> 2 + 0 = 2
B. 2x + y = -16
Plugging in (-6.4) 2(-6) + (4) = -16 ---> -12 + 4 = -16 --> -8 [tex]\neq -16[/tex]
Because the first point didn't work there is no need to check the second one.
C. x + 2y = -8
Plugging in (-6,4) (-6) + 2(4) = -8 ---> -6 + 8 = -8 --> 2[tex]\neq -8[/tex]
Again, because the first point didn't work there is no need to chek the next.
D. 2x + y = 4
Plugging in (-6,4) 2(-6) + (4) = 4 ---> -12 + 4 = 4 --> -8[tex]\neq 4[/tex]
Even though the answer was A. you should still check each on of them because there can always be a mistake in your work.
Answer:
A
Step-by-step explanation:
To find the equation of a line, the first thing that must be determined is the lines gradient. This can be determined by using the formula:
m = (Δy) / (Δx)
m = (4-0) / (-6-2)
m = 4 / -8
m = -0.5
The gradient has been determined, now we determine the y-intercept by using a point it passes through (either point cant be used because the line will pass through bother coordinates given)
y = mx + c (Using the point (2,0))
0 = (-0.5)(2) + c
c = 1
Since we have the y-intercept, a formula can be created for the line, and rearranging it, we can then find the correct option.
y = mx + c
y = (-0.5)x + 1
2y = -x + 2
x + 2y = 2
Your class started at 12:12PM and ended at 12:50PM. What angle did the minute hand of a watch sweep through during the class?
A. 132
B. 228
C. 153
D. 168
The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy?
Juice bottles are J, replace j with 6 in the equation and solve for w:
3w + 4(6) = 39
3w + 24 =39
Subtract 24 from both sides:
3w = 15
Divide both sides by 3:
w = 15/3
w = 5
You can buy 5 water bottles.
Answer:
5
Step-by-step explanation:
The number of water bottles [tex]= w[/tex]
The number of juice bottles [tex]= j[/tex]
We have, [tex]3w + 4j = 39[/tex]
When we purchase 6 bottles of juice, [tex]j = 6[/tex]
So,
[tex]3w + 4j = 39[/tex]
[tex]3w + 4 \times 6 = 39[/tex]
[tex]3w + 24 = 39[/tex]
[tex]3w = 39 - 24[/tex]
[tex]3w = 15[/tex]
[tex]w = \frac{15}{3}[/tex]
[tex]w = 5[/tex]
Therefore, we can buy 5 bottles of water.
A house can be build using 15 panels,how many houses can be build using 1000 panels
Answer: 67
Step-by-step explanation:
I think this could be solved using division. 1000 / 15 is 66.66666, but I would round that to 67.
Two parallel lines are crossed by a transversal. Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom left angle is (5 x + 5) degrees. At the intersection of lines c and a, the bottom right angle is 115 degrees. What is the value of x? x = 12 x = 14 x = 22 x = 24
Answer:
C
Step-by-step explanation:just took test
Answer:
Step-by-step explanation:
d. 24
Need help with 3 and 4
Answer:
3. 9.2 mL; 4. 0.25 mL
Step-by-step explanation:
3. 12 mL syringe
The arrow points to the first division between 9 mL and 10 mL.
There are five divisions, so
5 divisions = 1.0 mL or
1 division = 0.2 mL
The reading is
9.0 mL + 0.2 mL = 9.2 mL
4. 0.5 mL syringe
The arrow points to the fifth division between 0.20 mL and 0.30 mL.
There are 10 divisions, so
10 divisions = 0.10 mL or
1 division = 0.01 mL
5 divisions = 0.05 mL
The reading is
0.20 mL + 0.05 mL = 0.25 mL
How many times greater is 0.000006 than 0.00000002
0.000006 is 300 times greater than 0.00000002.
Explanation:To find out how many times greater 0.000006 is than 0.00000002,
We need to divide 0.000006 by 0.00000002.
So, let's perform the calculation:
0.000006 ÷ 0.00000002 = 300
This means that 0.000006 is 300 times greater than 0.00000002.
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Martinez quilt is made of 6 red square and 18 blue squares. Which ratio compares the number of blue squares to the total number of squares
A) 1:3
B) 3:1
C)1:4
D) 3:4
Julie is thinking about the product-54. Which expressions could result in this product? Select all that apply.
If BD and AC are perpendicular , DBE = (2x - 1), and CBE = (5x - 42), find the value of x.
3(6+5y)=2(-5+4y) help huhu
Answer:
-4 = y
Step-by-step explanation:
3(6+5y)=2(-5+4y)
18 + 15y = -10 + 8y
+10 +10
28 + 15y = 8y
- 15y -15y
28 = - 7y
28/-7 = -4
-7y/-7 = y
Answer:
y = -4
Step-by-step explanation:
distribute both 3 and 2 through the parenthesis, move the variable to the left side and change its sign, move constant to the right side and change its sign, collect like terms, calculate the difference, divide both sides of the equation by 7, and your answer would be -4
What is the solution to
−4x+5y=−12
x−6y=22
Answer:
The solution to the system is S= (-2, -4).
Step-by-step explanation:
Given the system
−4x+5y=−12
x−6y=22
The first step is to solve x from the first equation for example, and substitute the expression in the second equation.
1) -4x + 5 y = -12 ⇒ -4x = -12 - 5y ⇒ x = (-12 - 5y)/-4 ⇒ x = 3 + (5/4)y
2) x - 6y = 22 ⇒ (3 + (5/4)y) - 6y = 22 ⇒ 3 + (5/4)y - 6y = 22
⇒ 3 - (19/4)y = 22 ⇒ (-19/4)y = 22- 3 ⇒ y = 19/(-19/4) ⇒ y =-4.
Finally, with the value obtained for "y", you have to return to the original equations and replace it to obtain the "x" value.
-4x + 5y = -12 ⇒ -4x + 5(-4) = -12 ⇒ -4x - 20 = -12 ⇒ -4x = -12 + 20
⇒ -4x = 8 ⇒ x = 8/-4 ⇒ x = -2.
Summarizing, the solution to this system is S = (-2, -4).
Solve −2x2 − 16x − 44 = 0.
The solution to the quadratic equation -2x² - 16x - 44 = 0 are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]
Given the quadratic equation in the question:
-2x² - 16x - 44 = 0
To solve the quadratic equation -2x² - 16x - 44 = 0, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a}[/tex]
From the equation:
a = -2, b = 16, c = -44
Plug these values into the above:
[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(-16)\±\sqrt{(-16)^2 - 4(-2)(-44)} }{2(-2)} \\\\x = \frac{16\±\sqrt{256 - 352} }{-4} \\\\x = \frac{16\±\sqrt{-96} }{-4} \\\\x = \frac{16\±4\sqrt{6}i }{-4} \\\\x = -4 \±4\sqrt{6}i\\\\x = -4 -4\sqrt{6}i \ or \ x = -4 +4\sqrt{6}i[/tex]
Therefore, the values of x are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]
Sam has a total score of 500 on a game, compared to the maximum possible score of 1200.
Write this proportion as a percentage, correct to the nearest integer.
Which function has the given graph?
Answer:
none of the above
Step-by-step explanation:
What is the greatest common factor of 19 and 18?
The greatest common factor of 19 and 18 is 1 since 19 is a prime number and has no other factors that divide 18.
Explanation:The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 19 and 18, we need to determine the factors of both numbers. Since 19 is a prime number, its only factors are 1 and itself (19).
The factors of 18 are 1, 2, 3, 6, 9, and 18. The common factors of 19 and 18 are therefore just 1, as 19 has no other factors. Hence, the greatest common factor of 19 and 18 is 1.
What is the vertex of angle 4 in this diagram?
What is 0.9 7/8 0.86 written from least to greatest
Answer: 0.86 0.875 0.9
Step-by-step explanation: 7/8 is 8.75 in decimal form, so above would be the answer from least to greatest.
Answer: 0.86, 7/8, 0.9 is least to greatest
Step-by-step explanation:
BRAINLIEST + 30 POINTS! Please help ASAP!
(Please explain your work if you can, i'm confused by this module so it'd really help!)
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
Answer:
we know that
By alternate interior angles
m∠PRD=m∠APR -------> equation
m∠PRD=120°
so
m∠APR=120°
m∠APR=m∠APQ+m∠QPR ---------> equation
m∠APQ=62°
m∠QPR=x°
Substitute the values in the equation 120=62+x
x=120-62
x=53
therefore
the answer is
The measure of angle x is equal to 53 degrees
Because the lines are parallel the lower outside angle given as 155 is equal to the opposite angle, which is made up of X and 62.
To find X subtract 62 from 115:
X = 115 - 62
X = 53
14% of 81 is what number?
Answer:
11.34
hope it helps. :)
Write 7.66 x 10^6 km^2 in standard form
To convert 7.66 x 10^6 km^2 to standard form, shift the decimal point six places to the right to get 7,660,000 km^2.
Explanation:To write 7.66 x 106 km2 in standard form, you will need to move the decimal place to the right six times, because the exponent on the 10 indicates how many places to move the decimal point. Since the exponent is positive, the decimal moves to the right, and we add zeros where there are no more digits.
In practice, you take 7.66 and shift the decimal point six places to the right: 7,660,000. Hence, 7.66 x 106 km2 in standard form is 7,660,000 km2.
Average annual rainfall totals for cities in New York are listed below.
Rochester 0.97 meters
Ithaca 0.947 meters
Saratoga Springs 1.5 meters
New York City 1.268 meters
a. Put the rainfall measurements in order from least to greatest. Write the smallest total rainfall in word form and expanded form.
b. Round each of the rainfall totals to the nearest tenth.
c. Imagine New York City’s rainfall is the same every year. How much rain would fall in 100 years?
d. Write an equation using an exponent that would express the 100-year total rainfall. Explain how the digits have shifted position and why.
Answer:
a) Order: 0.947 < 0.97 < 1.268 < 1.5
b)Smallest total rainfall = 0.947 meters in Ithaca
c) 100 years total rainfall = [tex]126.8 \text{ meters} = 1.268\times 10^2[/tex]
Step-by-step explanation:
We are given the following data in the question:
City: Rochester Ithaca Sara-Toga New-York
Rainfall(meters): 0.97 0.947 1.5 1.268
a) Order:
0.947 < 0.97 < 1.268 < 1.5
Ithaca < Rochester < New-York < Sara-Toga
Smallest total rainfall = 0.947 meters in Ithaca
Expanded form: [tex]0.947 = 9\times \frac{1}{10} + 4\times\frac{1}{100} + 7\times \frac{1}{1000}[/tex]
Word form: seven thousandths and ninety four hundredths.
b) Round off to nearest tenths
Rochester - 1.0 meters
Ithaca - 0.9 meters
Sara-Toga - 1.5 meters
New-York - 1.3 meters
c) [tex]\text{Rainfall in 100 years} = \text{Annual rainfall}\times 100 = 1.268\times 100 = 126.8 \text{ meters}[/tex]
d) 100 years total rainfall = [tex]126.8\text{ meters} = 1.268\times 10^2 = 0.1268\times 10^3[/tex]
The points shifted because we have to multiply 1.268 by 100. This would again result in shifting the point towards right.
Final answer:
The rainfall totals ordered from least to greatest are Ithaca, Rochester, New York City, Saratoga Springs. Rounded to the nearest tenth, New York City would receive 126.8 meters of rain in 100 years, represented as 1.268 x 10^2 with the base ten exponent indicating multiplication by 100.
Explanation:
Ordering Rainfall Totals and Mathematical Operations
To answer the student's question regarding the average annual rainfall totals for cities in New York:
Ordering from least to greatest: Ithaca (0.947 meters), Rochester (0.97 meters), New York City (1.268 meters), Saratoga Springs (1.5 meters). The smallest total rainfall (Ithaca) in word form is nine hundred forty-seven thousandths and in expanded form is 0.9 + 0.04 + 0.007.
Rounding to the nearest tenth: Rochester (1.0 meters), Ithaca (0.9 meters), New York City (1.3 meters), Saratoga Springs (1.5 meters).
Rainfall in 100 years: New York City's rainfall of 1.268 meters every year would result in 126.8 meters of rain in 100 years.
Equation with exponent: The equation to express the total 100-year rainfall for New York City is 1.268 meters x 100 years. Using an exponent, this is written as 1.268 x 102. The digits shift two places to the left because the base ten exponent indicates the value should be multiplied by 100.
The figures above are based on the provided data and standard mathematical operations such as ordering, rounding, and multiplication with exponents.
What is 8+w/4 when w =16
Answer:
12
Step-by-step explanation:
8 + w/4
w = 16
8 + 16/4
16/4 = 4
8 + 4
8 + 4 = 12
12
Hey!
------------------------------------------------
Steps To Solve:
~Substitute
= 8 + 16/4
~Solve using PEMDAS
= 8 + 4
= 12
------------------------------------------------
Answer:
[tex]\large\boxed{12}[/tex]
------------------------------------------------
Hope This Helped! Good Luck!
Marisela cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of ribbon did she cut? Express your answer as the sum of a whole number and the remaining fractional units. Draw a number line to represent the problem.
Answer:
[tex]2\frac{1}{2}[/tex] yards.
Step-by-step explanation:
Please find the attachment.
We have been given that Marisela cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long.
To find yards of ribbon cut by Marisela, we will multiply 4 by 5 eighths of a yard (5/8).
[tex]\text{Total ribbon cut by Marisela}=4\times \frac{5}{8}[/tex]
[tex]\text{Total ribbon cut by Marisela}=\frac{4\times 5}{8}[/tex]
[tex]\text{Total ribbon cut by Marisela}=\frac{20}{8}[/tex]
Express answer as the sum of whole number and the remaining fractional units:
[tex]\text{Total ribbon cut by Marisela}=\frac{16+4}{8}[/tex]
[tex]\text{Total ribbon cut by Marisela}=\frac{16}{8}+\frac{4}{8}[/tex]
[tex]\text{Total ribbon cut by Marisela}=2+\frac{4}{8}[/tex]
[tex]\text{Total ribbon cut by Marisela}=2\frac{4}{8}[/tex]
Therefore, Marisela cut [tex]2\frac{4}{8}[/tex] yards of ribbon.
Answer:
CUCUMBER
Step-by-step explanation:
factor x squared-6x+3x-18 by grouping
Answer:
(x - 6)(x + 3)
Step-by-step explanation:
Given
x² - 6x + 3x - 18 ( factor the first/second and third/fourth terms )
= x(x - 6) + 3(x - 6) ← factor out (x - 6) from each term
= (x - 6)(x + 3)
How much would $300 invested at 9% interest compounded continuously be worth after 3 years? Round your answer to the nearest cent.
$300*e^(0.09*3) = $392.99.
the answer is $392.99
Which expression is the simplest form of -(2x+y)+3(x-4y)?
Answer:
x-13y
Step-by-step explanation:
Combine like terms and when you do x is by itself and you have 13 y
making the answer x-13y
Terry,Sasha, and Harry each chose a number.Terrys number is 10x as much as Sasha’s. Sasha’s number is 0.4. What number did each person choose?
Find x, if f(x) = 12 and f(x) = 3x.
o 36
o 12
o 4
o 3
Answer:
4
Step-by-step explanation:
i just had that question
The required simplified value of the x is 4. Option C is correct.
Given that,
f(x) = 12 and f(x) = 3x to determine the value of the x,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
f(x) = 12
f(x) = 3x
Equating the above 2 equations,
12 = 3x
3x = 12
x = 12 / 3
x = 4
Thus, the required simplified value of the x is 4. Option C is correct.
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Evaluate M2/P2 for M = 10, N = -5, and P = -2?
A.-5
B.5
C.-25
D.25
Answer:
(10)^2/(-2)^2 = 100/4= 25
the answer is d
Is this equation an identity?
-5w − 8 = 1 − 2w
Answer:
-3w = 9
w = -3
yes, it is an identity