Answer:
Equation of line , 5x + 3y = 0
Step-by-step explanation:
The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Here points are given by (-3,0) and (-6,5)
Slope[tex]=\frac{5-0}{(-6)-(-3)}=\frac{-5}{3}[/tex]
The slope of parallel lines are same. So slope of required line [tex]=\frac{-5}{3}[/tex]
Equation of a line with slope m passing through origin is given by
y =mx
So equation of line, [tex]y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0[/tex]
Equation of line , 5x + 3y = 0
Answer: -5x -3y = 0
Step-by-step explanation:
took on edmentum/plato and got it right. enjoy :)
find value of m=30 and n=18. m-n÷3=8
What is a polynomial with a single root at x = -8 and a double root at x = -2?
The polynomial equation will be x³ +12x² +36x+32 =0
What are the roots of a polynomial Equation ?The roots of a polynomial equation is the value at which it will satisfy the quadratic equation , i.e. function (x) = 0 at the root .
It is given that x = -8 is a single root and
x = -2 is double root
x+8 = 0
(x+2 )(x+2)=0 (double root)
The polynomial equation will be
(x+8)(x+2 )(x+2 )=0
(x+8)( x² +4+4x) = 0
x³ +4x+4x²+8x²+32+32x = 0
x³ +12x² +36x+32 =0
Therefore the polynomial equation will be x³ +12x² +36x+32 =0
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If µ = 400 and s = 100 the probability of selecting at random a score less than or equal to 370 equals ____.
The probability of selecting at random a score less than or equal to 370 is approximately 0.3821.
To find the probability of selecting at random a score less than or equal to 370 from a normal distribution with a mean [tex](\( \mu \))[/tex] of 400 and a standard deviation [tex](\( s \))[/tex] of 100, we can use the z-score formula and the standard normal distribution table.
The z-score formula is given by:
[tex]\[ z = \frac{x - \mu}{s} \][/tex]
Where:
- x is the value of the random variable (370 in this case)
- [tex]\( \mu \)[/tex] is the mean (400)
- s is the standard deviation (100)
Substituting the given values into the formula:
[tex]\[ z = \frac{370 - 400}{100} = -0.3 \][/tex]
Now, we look up the probability corresponding to z = -0.3 in the standard normal distribution table. The probability of selecting a score less than or equal to 370 is the cumulative probability up to z = -0.3.
From the standard normal distribution table, the cumulative probability corresponding to z = -0.3 is approximately 0.3821.
Therefore, the probability of selecting at random a score less than or equal to 370 is approximately 0.3821.
how to turn negative mixed fraction into decimal
Find 10-3 write the substraction fact two ways
Marina walks from the police station at (-10, -4) to her friend Marissa’s house at (3, -8). She stops half way at a fast food restaurant to buy a soda. What are the coordinates where she stops?
What is (f * g * h)(x) Refer the the image below.
How do I find Primefactor of 150
Monday’s high temperature was 5 degrees warmer than Sunday high temperature.tuesdays high temperature was eight degrees colder than Monday high temperature. How does Sunday’s high temperature compare to tuesdays
Answer: It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.
Step-by-step explanation:
Let the temperature on Sunday be 'x'.
So, Temperature of Monday would be
[tex]x+5[/tex]
Temperature of Tuesday would be
[tex]x+5-8\\=x-3[/tex]
So, Comparing the Sunday's high temperature to Tuesday's temperature.
[tex]x-3[/tex]
It means the high temperature of Sunday is 3 degrees warmer than the high temperature of Tuesday.
What is the reflection image of R across the y-axis?
(3, 2)
(–2, 0)
(0, 2)
(–3, –2)
Answer: (3,2)
Step-by-step explanation:
From the given picture , it is given that the point R = (-3,2)
We know that the rule of reflection across y axis is :
[tex](x,y)\rightarrow\ (-x,y)[/tex] i.e.the polarity of x coorinate changes.
Therefore, the reflection image of R across the y-axis will be :-
[tex](-3,2)\rightarrow\ (3,2)[/tex]
Hence, the reflection image of R across the y-axis =(3,2)
what is 62 1/2% converted as a fraction
Which quantity is proportional to 15⁄3?
The answer is 5 because 15/3=5
How many binary digits does it take to represent the decimal number 2013?
It takes 11 binary digits to represent the decimal number 2013. Decimals are numbers that have two parts: a whole number part and a fractional part separated by a decimal point.
What is meant by decimal number?A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole. Decimals are numbers that have two parts: a whole number part and a fractional part separated by a decimal point. 12.5 is a decimal number, for example. (12)10 and (300)10 are two examples of decimal numbers. Thus, we can say that the Decimal Number System is the number system that uses the numbers 0 to 9 and has a base of 10, and each digit in this system has a power value of 10.Therefore, the correct option is C) 11
The complete question is:
How many binary digits does it take to represent the decimal number 2013?
a) 16
b) 8
c) 11
d) 2013
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A square sheet of art paper has an area of 625 square inches. What is the minimum side length of an easel that supports the whole sheet of paper?
area of a square = side^2
to find the length of a side using area find the square root of the area
sqrt(625) = 25
so the easel has to be at least 25 inches
Typographic errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but incorrect word. Spell-checking software will catch nonword errors but not word errors. Human proofreaders catch 70% of word errors. You ask a fellow student to proofread an essay in which you have deliberately made 10 word errors. What is the smallest number of misses m with P(X ≥ m) no larger than 0.05? You might consider m or more misses as evidence that a proofreader actually catches fewer than 70% of word errors.
The probability that a proofreader who catches 70% of the word errors misses exactly 7 out of 10 will be 0.3504.
How to calculate the probability?It should be noted that this is a binomial distribution.
From the information given, the human proofreaders catch 70% of word errors and a student was asked to proofread an essay in which you have deliberately made 10 word errors.
Here, n = 10
p = 0.3,
q = 1 - 0.3 = 0.7.
The probability will be:
= 1 - (10C0 × 0.3ⁿ × 0.7^10 + 10C1 × 0.3 × 0.7^9 + 10C2 × 0.3² × 0.7^8 + 10C3 × 0.3³ × 0.7^7)
= 1 - 0.6496
= 0.3504
In conclusion, the probability is 0.3504.
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What is the slope given the equation, y = 2x
a) 1
b) 12
c) 2
d) x'
Evaluate 11x -4 when x = -4
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
another way to write (3x1000)+(3x10)+(3x1/100)+(3x1/1000)
Expression after the simplification is 3030.033.
What is an expression?Expression in mathematics is the combination of variables with the use of operations and predetermined rules. It could appear as an equation, a set of numbers, etc.
Given, expression
(3x1000)+(3x10)+(3x1/100)+(3x1/1000)
Simplifying,
(3x1000)+(3x10)+(3x1/100)+(3x1/1000)
= 3000 + 30 + 3/100 + 3/1000
= 3030033 / 1000
or, = 3030.033
Hence, the value of the expression is 3030.033.
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Jared used one whole number 2/5 of soil for his garden. He is digging another garden that will need 1/5 as much soil as the original. How much will he use total.
56of the 90pets in the pet show are cats 4/5of the cats are calico cats. What fraction of the pets are calico cats?
Of all numbers whose difference is 4, find the two that have the minimum product.
The two numbers whose difference is 4 will be +2 and -2. The two have the minimum product is -4.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, there are two numbers whose difference is 4 and it must have a minimum product.
We have to apply arithmetic operation operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Suppose one number is x and the other x−4.
The minimum product is,
=x(x−4)
=x²−4x
Differentiate both sides to obtain minimum value,
=2x-4
2x=4
x=2
The other number is,
=x−4
=2-4
=-2
Thus, the two numbers whose difference is 4 will be +2 and -2. The two have the minimum product is -4.
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How did the forces of liberalism and nationalism affect events in the united states during the 1800s?
HECTOR PLANTED 185 FLOWERS IN 2 DAYS THERE WERE 5 VOLUNTEERS INCLUDING HECTOR WHO EACH PLANTED ABOUT THE SAME NUMBER OF FLOWERS ABOUT HOW MANY FLOWERS DID THEY PLANT
You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you place the bar from each edge of the door?
bar is 10 1/4" so center would be 10 1/4 / 2 = 5 1/8"
door is 26 1/3" so center would be 26 1/3 / 2 =13 1/6
13 1/6 - 5 1/8 = 8 1/24 inches from the edge
If you work 37.5 hours per week at $10.65 per hour, how much is your gross pay for a two-week period? (Round off your answer to the nearest cent.)
You received 1⁄3 pound of candy from your grandmother, 1⁄2 pound of candy from your sister, but your best friend ate 1⁄5 pound of candy. How much candy do you have left?
1/3 + 1/2 = 2/6 + 3/6 = 5/6
5/6 - 1/5 = 25/30 - 6/30 = 19/30 pounds left
a store buys a baseball cap for $5 and sells it for $20. what is the profit
Kevin has three fourths yard of string he uses one third for a school project how many yards of string did he use on the project
_______
hint the answer is not 1/3 or 33.33333333%
3/4 yard,
he used 1/3
3/4 * 1/3 = 3/12 = 1/4
he used 1/4 yard
The observations you made in the unit circle can help you determine the x‑ and y‑coordinates of special points on the circle without memorizing the circle. Analyze some of the patterns by completing the parts below.
a. Look at all the ordered pairs whose angles are of the form k pi/4, where k is an integer. What do you notice?
b.Now look at the ordered pairs whose angles are of the form k pi/6 or k pi/3. What do you notice about their coordinates?
c.How can you determine if the coordinates of a point are positive or negative?