Answer:
5x + 6y = -10
Step-by-step explanation:
(-2, 0) and (-8, 5)
m = (y₂ - y₁) / (x₂ - x₁)
m = (5 - 0) / (-8 -(-2)
m = 5 / (-8+2)
m = -5/6
y = mx + b
(-8, 5)
5 = -5/6(-8) + b
5 = 40/6 + b
b = 5 - 40/6
b = -5/3
y = mx + b
y = -5/6x - 5/3 *6
6y = -5x -5(2)
6y = -5x - 10
5x + 6y = -10
(-2, 8) (9, 10) (1,7) (3, 9) (10, 12)
Function
Not a Function
Answer: function
Step-by-step explanation: To determine whether the relation shown here
is a function, remember that a relation is a function if each x term
corresponds to exactly one y term.
In the data set show, each x term, -2, 9, 1, 3, and 10 appears only once.
This means that each x term corresponds to exactly one y term.
So yes, the relation is a function.
Please help it’s due in 19 min
Answer:
yellow
Step-by-step explanation:
ITS YELLOW IM GOOD AT THIS TRUST ITS YELLOW
In a bakery that sells cookies there are 4 oatmeal cookies for every 11 chocolate cookies.If there are 285 cookies altogether how many oatmeal cookies are there?
Answer:
There are 76 oatmeal raisen cookies altogether.
Step-by-step explanation:
4 + 11 = 15
285/15 = 19
19 * 4 = 76
Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
Manny rode his bike for 3 hours. How far did he travel?
Manny rode his bike for 1.5 hours. How far did he travel?
I will give 20 extra points for you <3
Answer:
1. 54
2.?
Step-by-step explanation:
:) Have a nice day
a2+ 12a− 7 − 3a2− 5a+ 8
you deposit $3000 into an account that pays 8% compounded quarterly. how much will you have in 10 years?
Answer:
$5400 USD
Step-by-step explanation:
Investment=3,000
Interest=8% = .08
Time=10 years
([3000 x .08 x 10] + 3,000
[240 x 10] + 3,000
2,400 + 3,000= 5,400
A triangle has side lengths of (5.3p+ 7.6) centimeters, (3.8p – 4.3) centimeters,
and (2.4q - 7.4) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?
Answer:
The perimeter of the triangle in centimetres is (9.1p + 2.4q - 4.1) centimetres
Step-by-step explanation:
Let a, b and c be the sides off a triangle. Its perimeter P = a + b + c.
Now, the triangle has side lengths (5.3p+ 7.6) centimetres, (3.8p – 4.3) centimetres, and (2.4q - 7.4) centimetres.
Let a = (5.3p+ 7.6) cm , b = (3.8p – 4.3) cm and c = (2.4q - 7.4) cm
So the perimeter of the triangle is P = a + b + c
substituting the values of a, b and c, we have
P = (5.3p + 7.6) cm + (3.8p – 4.3) cm + (2.4q - 7.4) cm
opening the brackets and collecting like terms, we have
P = (5.3p + 3.8p + 2.4q + 7.6 - 4.3 - 7.4) cm
P = (9.1p + 2.4q - 4.1) centimetres
So the perimeter of the triangle in centimetres is (9.1p + 2.4q - 4.1) centimetres
Figure A was translated 5 units left to create Figure B.
Figure B was reflected over the line y=1 to create Figure
C. Figure C was rotated 90 degrees clockwise around
the origin to create Figure D. Are Figure A and Figure D
congruent?
А A
Prove your answer using any tools and explain
reasoning in the box below:
10
Answer:
a
Step-by-step explanation:
Given the polynomial 21x^4+3y-6x^2+34 1. What polynomial must be subtracted from it to obtain 29x^2-7? 2. What polynomial must be added to it to obtain a first degree polynomial?
Answer:
[tex]21x^4+3y-35x^2+41[/tex] must be subtracted
As you can see, we added -x+2 to this polynomial to obtain a first degree polynomial. (Though really anything with an x would do. For example, 3x, 2221x, or -224x would all work)
Step-by-step explanation:
We have the following polynomial
[tex]21x^4+3y-6x^2+34[/tex]
And need to find a polynomial to subtract from it to get
[tex]29x^2-7[/tex]
This means that if we subtract these two polynomials, we will get our desired polynomial
[tex]21x^4+3y-6x^2+34-(29x^2-7)\\\\21x^4+3y-6x^2+34-29x^2+7\\\\21x^4+3y-35x^2+41[/tex]
Just to be sure, we can then check our work by finding the difference of the first polynomial and the one that we just found
[tex]21x^4+3y-6x^2+34-(21x^4+3y-35x^2+41)\\\\21x^4+3y-6x^2+34-21x^4-3y+35x^2-41\\\\-6x^2+34+35x^2-41\\\\29x^2-7[/tex]
As we got the desired result, we know that this answer is correct.
And now for the second part of the problem. What polynomial must be added to it to obtain a first degree polynomial?
Recall that a first degree polynomial is one that has the total sum of 1. For example the polynomial x+5 is a first degree polynomial, but x+y+5 has a degree of 2.
This means that our desired polynomial needs to only have some amount of x's and constants.
We can do the same thing as the first time and simply subtract our desired result from the first polynomial. For simplicity, let us use the simple polynomial x+2
[tex]21x^4+3y-6x^2+34-(x-2)\\\\21x^4+3y-6x^2+34-x+2\\\\21x^4+3y-6x^2-x+36[/tex]
As you can see, we added -x+2 to this polynomial to obtain a first degree polynomial. (Though really anything with an x would do. For example, 3x, 2221x, or -224x would all work)
Which of the following measures of central tendency are resistant to outliers? (May be more than one correct answer) Group of answer choices Median Mode Mean Range Inter-quartile Range (IQR) Standard Deviation
Answer
Median
Step-by-step explanation:
It should be noted that medians are resistant to outliers.
Outliers simply means the data records which are different from every other record. It escapes normality. The outlier affects mean, inter-quartile range, mode and the range.
It should be noted that the median isn't affected by outliers. The reason for this is that the median depends on the arrangement and the order of the data. For example, when one changes the lowest score in a given set of numbers, the order won't be affected.
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20=v−7 what does v equal?
Answer:
27
Step-by-step explanation:
20=v-7
v=20+7
v=27
Hence, v equals to 27
[tex]\huge\mathbb\purple{EXPLAIN}[/tex]
[tex]20 = v - 7[/tex]
[tex]v = 20 + 7 = 27[/tex]
If you add two negative integers, what will the sign on the sum be? Explain.
Answer:
Negative
Step-by-step explanation:
If both are negative, they can't grow when you add them. If I owe someone 3 dollars, then I owe them 3 more, I don't owe them 0, I owe them 6. The equation would be My amount of money-3-3
find the roots of the quadratic equation using factoring. 6m^2 - 23M + 10 = 0
m₁ = 10/3
m₂ = 1/2
Step-by-step explanation:6m² - 23m + 10 = 0
6m² - 2m - 20m + 10 = 0
3m(2m - 1) - 10(2m - 1) = 0
(3m - 10)(2m - 1) = 0
3m - 10 = 0 =>3m = 10 => m₁ = 10/3
2m - 1 = 0 => 2m = 1 => m₂ = 1/2
What are the roots of the equation? x² + 3x - 18 = 0
Answer:
[tex]x[/tex] = -6
[tex]x[/tex] = 3
Step-by-step explain
[tex]x^{2}[/tex] = 3[tex]x[/tex] - 18 =0
[tex]x^{2}[/tex] =6[tex]x[/tex] - 3[tex]x[/tex] - 18 = 0
[tex]x[/tex] x ([tex]x[/tex] + 6) -3[tex]x[/tex] - 18 = 0
[tex]x[/tex] x ([tex]x[/tex] + 6) - 3([tex]x[/tex] = 6)=0
([tex]x[/tex] = 6) x ([tex]x[/tex] 3) = 0
[tex]x[/tex] +6 = 0
[tex]x[/tex] - 3 = 0
[tex]x[/tex] = -6
[tex]x[/tex] = 3
please help ill give 10 points and a brainly to who ever who can answer this. thanks!!!
Answer:
Step-by-step explanation:
Express 0.1 as a fraction.
Step-by-step explanation:
Write 0.1 as
0.1
1
Multiply both numerator and denominator by 10 for every number after the decimal point
0.1 × 10
1 × 10
=
1
10
Reducing the fraction gives
1
10
In fraction form the number 0.1 can be written as 1/10.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p/q.
The given number is: 0.1
Since the given number is a decimal number,
And it has only in digit after decimal.
Therefore,
Divide and multiply by 10 with this number,
[tex]0.1 \times \dfrac{10}{10} = \dfrac{1}{10}[/tex]
Hence,
The fraction from of the number 0.1 is 1/10
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what is the decimal that is greater than 3/10 and less than 2/5
Answer:
0.31 - 0.39
Step-by-step explanation:
3/10 = 0.3
2/5 = 0.4
All the values between 0.3 and 0.4 excluding 0.3 and 0.4 (can't be 0.3 or 0.4)
The decimal number that is greater than 3/10 and less than 2/5 will be;
⇒ 0.35
What is Decimal number?A decimal number is a number that consists of a whole and a fractional part.
Given that;
A decimal number is greater than 3/10 and less than 2/5.
Now,
Let a decimal number = x
So, We get;
⇒ 3/10 < x < 2/5
Since, We have;
⇒ 3/10 = 0.3
⇒ 2/5 = 0.4
Thus, The decimal number that is greater than 3/10 and less than 2/5 is 0.35.
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Triangle ABC has vertices A(4,8) B(-3,2) and C(-1,6). Triangle ABC is dilated so that the new vertices are A'(12,24) B'(-9,6) and C'(-3,18). What is the scale factor?
A number decreased by twelve is twice the opposite of ten. Find the number.
Answer:
-8
Step-by-step explanation:
Let n = the number.
A number decreased by twelve is twice the opposite of ten.
n - 12 = 2 * (-10)
n - 12 = -20
n = -8
find the arrival time if the plane took off at 8:35am and flew for 2 hr. 55 min. include am or pm in your answer
whats the answer 5(x-y+2)
whats the answer 5(x-y+2)
Answer :
5x - 5y + 10
Step-by-step explanation:
5(x - y + 2)
5(x) + 5( - y) + 5(2)
5x - 5y + 10
[tex]\boxed{\boxed{\bold{THANKS}}} [/tex]
What is the relationship between the 8’s in 8,809
Answer:
Their place values
Step-by-step explanation:
On eight is in thousands while the other is in hundreds
Answer:
"8" on the left is ten times the value of the "8" on the right
Step-by-step explanation:
I am going to assume that the comma " , " denotes divisions of "thousands" and not the European system where the comma represents a decimal point.
(refer to attached for definitions of place values)
we can see that for the number 8,809 :
1) the 8 on the left is in the thousands place and hence represents 8000.
2) the 8 on the right is in the hundreds place and hence represents 800.
in order to find the relative order of difference between the two digits, we simply we divide the value of the two digits:
8000 ÷ 800 = 10
Hence the "8" on the left is ten times the value of the "8" on the right
Tim has a bag of 36 orange-flavored sweets and Peter has a bag of 44 grape-flavored sweets. They have to divide up the sweets into small trays with equal number of sweets; each tray containing either orange-flavored or grape-flavored sweets only. If there is no remainder, find the largest possible number of sweets in each tray.
Answer:
Largest possible number of sweets in each tray[tex]=4[/tex]
Step-by-step explanation:
Given:
Number of orange-flavored sweets = 36
Number of grape-flavored sweets = 44
To find: largest possible number of sweets in each tray
Solution:
HCF(highest common factor) of two or more numbers refers to the greatest number which can divide the given numbers
To find largest possible number of sweets in each tray, find the HCF(highest common factor) of 36 and 44.
[tex]36=2^{2}\times 3^{2}\\44=2^{2}\times 11[/tex]
So,
[tex]HCF(36,44)=2^{2}=4[/tex]
So,
Largest possible number of sweets in each tray[tex]=4[/tex]
The largest possible number of sweets in each tray is 4.
In order to determine the largest possible sweets in each tray, the highest common factor of the number of sweets have to determined. The highest common factor is the highest factor that is common to two or more numbers.
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Factors of 44 = 1, 2, 4, 11, 22, 44.
Common factors = 1, 2, 4
Highest common factor - 4
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PLZ HELP 235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?
Answer:
number of girls = 90
Number of boys = 125
Number of adults = 20
Step-by-step explanation:
Total people at the summer camp= 235
Let
number of girls=x
Number of boys = x + 35
Number of adults = x - 70
Total people at the summer camp= number of girls + Number of boys + Number of adults
235 = x + (x+35) + (x - 70)
235 = x + x + 35 + x - 70
235 = 3x - 35
Add 35 to both sides
235 + 35 = 3x
270 = 3x
Divide both sides by 3
x= 270/3
= 90
x = 90
number of girls= x = 90
Number of boys = x + 35
= 90 + 35
= 125
Number of adults = x - 70
= 90 - 70
= 20
Total = 90 + 125 + 20
= 235
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
The formula A = 1/2 S^2 expresses the area of an isosceles right
triangle in terms of the length, s, of a leg of the triangle.
Which equation expresses the length of a leg of an isosceles right
triangle in terms of the area?
Answer:
[tex]s = \sqrt{2a} [/tex]
Step-by-step explanation:
A = 0.5S^2
2A = S^2
Therefore,
[tex]s = \sqrt{2a} [/tex]
To express the length in terms of the area, is an illustration of change of subject of formula.
The equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]
Given that:
[tex]A = \frac 12S^2[/tex]
First, multiply both sides by 2
[tex]2 \times A = \frac 12S^2 \times 2[/tex]
[tex]2 \times A = S^2[/tex]
[tex]2A = S^2[/tex]
Take positive square roots of both sides
[tex]\sqrt{2A} = \sqrt{S^2[/tex]
[tex]\sqrt{2A} = S[/tex]
Rewrite the equation as:
[tex]S =\sqrt{2A}[/tex]
Hence, the equation that express S in terms of the area is: [tex]S =\sqrt{2A}[/tex]
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I need help asap please! <3
Please Help Brainliest to whoever can give a clear explanation for this problem!
In triangle ABC, [tex] \angle A = 90 [/tex], AC = 1, and AB = 5. Point D lies on ray AC such that [tex]\angle DBC = 2\angle CBA[/tex]. Compute AD.
See the attached sketch. Let [tex]\beta[/tex] denote angle ABC and [tex]\beta'[/tex] denote angle CBD. Then [tex]\beta'=2\beta[/tex].
From the sketch, we see that
[tex]\tan\beta=\dfrac15[/tex]
[tex]\tan(\beta+\beta')=\tan(3\beta)=\dfrac{AD}5[/tex]
Write [tex]\tan(3\beta)[/tex] in terms of [tex]\tan\beta[/tex]. Recall the angle sum identity for tangent:
[tex]\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}[/tex]
This gives us
[tex]\tan(3\beta)=\dfrac{\tan\beta+\frac{2\tan\beta}{1-\tan^2\beta}}{1-\tan\beta\cdot\frac{2\tan\beta}{1-\tan^2\beta}}=\dfrac{\tan\beta(\tan^2\beta-3)}{3\tan^2\beta-1}[/tex]
and plugging in [tex]\tan\beta=\frac15[/tex] leaves us with
[tex]\tan(3\beta)=\dfrac{37}{55}[/tex]
and so AD = 5 * 37/55 = 37/11.
Write an equation in slope-intercept form of the line with slope 3 that contains the point (1, 2).
Answer:
Step-by-step explanation:
y - 2 = 3(x - 1)
y - 2 = 3x - 3
y = 3x - 1
Name one pair of rays that are not opposite rays.
Answer:
ED and EC
Step-by-step explanation:
If the two rays which extend in the opposite direction having same endpoint is said to be opposite rays.
From the picture attached,
Rays having same endpoint E but not in the opposite directions are ED and EC.
This pair of rays meet at point E having different directions.
Similarly EA and EB is the other pair of rays having same end point (at E) but not in opposite directions.
suppose the equation for line A is given by 2x-5y=15, if line A and B are parallel and the point (-10,3) lies on line B, then write the equation in slope intercept for line b.
Answer:
y=2/5x + 7
Step-by-step explanation:
First, you have to rewrite 2x-5y=15 to slop intercept form.
To do that you have to first subtract 2x from both side to cancel it out.
2x- 2x-5y= 15 -2x.
-5y= -2x+15
Next, you divide 5 on both side to leave the y by itself.
y= -2x/-5 + 15/-5
Simplify
y= 2/5x + (-3) 2/5 is our slope
Now that we found the slope, we need to the y-intercept of line b
y=2/5x + b
To find the y-intercept, we substitue x and y with the coordinates (-10,3)
3= 2/5(-10) +b
Now we just solve for b
3= -4 +b
3-(-4) = b
7=b
Now we have identified that 7 is the y intercept
The full equation is y= 2/5x +7
I hope this helped :)