Answer:
Step-by-step explanation:
If slope of two lines are equal, then they are parallel lines.
If product of the slope of two lines is (-1), then they are perpendicular lines.
C) y = x + 2
Slope m1 = 1
y = -x + 3
Slope m2 = -1
m1 * m2 = 1 * (-1) = -1
These are perpendicular lines.
D) y = 3x + 2
Slope = m1 = 3
y = 3x - 2
Slope = m2 = 3
Slopes are equal. So, they are parallel lines.
E)y= 3
This line is parallel to x -axis.
x = 4
This line is parallel to y-axis.
So, both lines are perpendicular to each other.
F) y = x + 8
slope m1 = 1
y = -x + 3
Slope = m2 = -1
M1 * m2 = 1 * (-1) = -1
So, These are perpendicular lines
Help me plz o don’t know what to write and how to plz help me
9514 1404 393
Explanation:
Anything is categorized by how it matches with the definition of the category.
A composite number is a product of primes. A prime number is divisible only by itself and 1.
If a number has more than one prime factor (even if that is just multiple instances of the same prime factor), it goes into the composite number category. If its only prime factor is itself, it goes into the prime number category.
how many permutation are there of the letters of the word "ENGLISH"
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5040120[tex]\huge\blue{ChaEunWoo2009}[/tex]
#CarryOnLearning
Which equation represents a line that is perpen-
dicular to y = 5x +2 and goes through the point
(-10, 3)?
Answer:
A
Step-by-step explanation:
If you substitute the values given in the question, i.e. (-10,3), the only equation that satisfies this solution is A.
Try substituting
x for (-10)
y for (3)
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4
(-3√3, 1)
(astroid)
Differentiate both sides of
[tex]x^{2/3} + y^{2/3} = 4[/tex]
implicite with respect to x :
[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for the derivative dy/dx :
[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]
Get the slope at the given point (-3√3, 1) :
[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]
Then the equation of the tangent line to the curve through (-3√3, 1) is
[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = -1/6x + 2
Step-by-step explanation:
Slope: (-6,3) and (6,1) = (1-3) / (6 - - 6)
= - 2/12 = -1/6
b = 3 - (-1/6)(-6)
b = 3 - 1
b = 2
Lydia is having a barbecue. Two containers of juice serve 10 people. How many containers of juice should she get to serve 40 people at the barbecue?
Answer:
4 containers
Step-by-step explanation:
4 containers of juice x 10 people= 40 people to serve
Evaluate [(21 + 6) − 32] ÷ 9 ⋅ 2. (1 point)
Answer:
-1.1
Step-by-step explanation:
Hope this helps! Let me know if it’s wrong. Pls give brainliest!
find the values of x,y if (x+y,x-y) = (5,3)
The values are :
x = 4y = 1solution is in attachment !
What is the quotient?
-2 1/8 divided by 1 1/4
Enter your answer as a mixed number, in simplified form.
Answer:
-1.7 or 1 7/10
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1
8
= 17
8
Unary minus: -17
8
Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1
4
= 5
4
Divide: -17
8
: 5
4
= -17
8
· 4
5
= -17 · 4
8 · 5
= -68
40
= -17
10
To divide one fraction by another, invert the second fraction, then multiply.
If f(n) = -3n + 10 what is the 5th term???
Write down the inequality for x that is shown on this line
O
+
1 2 HELP
+
3
0
4
+
+X
6 7 8
5
Answer:
[tex]x < 5[/tex]
The answer is
7: 8: 9 = .... : 12 : ....
plz help
Step-by-step explanation:
7:8:9=10.5:12:13.5.
hope this helps you.
Does this equation have exactly one solution
Answer:
[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]
Which of these u is a example
Answer:
the correct answer is C there ya go
Answer:
C. Typing 28 words in 2/3 of a min
Step-by-step explanation:
42 words : 60 secs = ? words : ? secs
42:60 16:40 / This could not be an answer because 1/3 of 42 is 14. And 16 exceeds 14. So this couldn't be a possible answer choice.
42:60 16:80 / This could not be an answer because 16 is less than 42 and the time given here is over 60 secs.
42:60 28:40 / This would be an answer because 1/3 of 42 is 14. SO if we multiplied 14 by 2 we would be 28.
42:60 28:80 / This could not be an answer because 28 is less than 42 and the time given here is over 60 secs.
Solve the equation:
3x + 2 = 6x - 7
Answer:
x=3
Step-by-step explanation:
1) Subtract 3x from both sides
2 = 6x - 7 - 3x
2) Simplify 6x - 7 - 3x to 3x - 7
2 = 3x - 7
3) Add 7 to both sides
2 + 7 = 3x
4) Simplify 2 + 7 to 9
9 = 3x
5) Divide both sides by 3
9/3 = x
6) Simplify 9/3 to 3
3 = x
7) Switch sides
x=3
A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.
Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25
How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
Answer:
16 pints
Step-by-step explanation:
it seems like there's a pattern. when you divide x by 16, you get the result of y.
64/16 = 4
144/16 = 9
400/16 = 25
so to find the answer would be x/16 = y.
sqrt ft is x, pints is y.
we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.
256/16 = 16
therefore, your answer is 16 pints.
Answer:
Its for the person above me to get brainiest! really great answer!
Step-by-step explanation:
Yw! :D
Plz answer
only do 9 question , step by step
Plz help , I will mark as brainilist
Answer:
[tex]2x + 3x = 180 \\ because \: they \: are \: o n \: one \: line \\ 5x = 180 \\ x = 180 \div 5 = 36[/tex]
12. Which equation has no solution?
A. 12 =-41-6x - 3)
B. 24a - 22 =-4 (1-6a)
C-18 - 6k = 611 + 3)
D-511 - 5x) + 51-8x - 2) = -4x - 8x
Select the vector along wich a translation of the plane would map point A to its image T (A)
Answer:
a
Step-by-step explanation:
it is a thanks
Evaluate. (a−2b)3 when a=−2 and b=−12
Step-by-step explanation:
(a−2b)
3
\{ - 2 - (2 \times - 12) \}{−2−(2×−12)}
\{ - 2 - ( - 24)\}{−2−(−24)}
\{ - 2 + 24 \}{−2+24}
2222
the required value is 22
The simplified value of (a−2b)³ is 10648.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.
given:
(a−2b)³
and, a=−2 and b=−12
Now, substituting the values
(a−2b)³
= ((-2)−2(-12))³
= (-2 + 24)³
= 22³
= 10648
Hence, the simplified value is 10648.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
Use the hundredths grid to answer the question.
A 10 by 10 grid is shown. 3 columns and 6 squares are red. 2 columns and 7 squares are blue.
Which of the equations is shown by the shaded area of the model?
A.
0
.
29
+
0
.
37
=
0
.
63
B.
0
.
34
+
0
.
23
=
0
.
57
C.
0
.
36
+
0
.
27
=
0
.
63
D.
0
.
24
+
0
.
33
=
0
.
57
9514 1404 393
Answer:
C. 0.36 +0.27 = 0.63
Step-by-step explanation:
3 columns and 6 squares of a hundredths grid is a representation of ...
0.30 +0.06 = 0.36
2 columns and 7 square is a representation of ...
0.20 +0.07 = 0.27
The total shaded area is the sum of these:
0.36 +0.27 = 0.63
Bill is 30 years old. He has just started a new job, and he cycles to work. The
probability of having a serious accident on any given day is 10E−4
(and the days are independent of each other as far as cycling accidents are concerned). He works 250 days per year, and will work for 35 years before retiring to North Hatley–unless a cycling accident catches up with him first.
a) What is the probability that he gets through his career without a serious
cycling accident?
b) Thirty years pass. Bill continues to cycle, and has never had a serious
accident. However, the probability of accident on any given day remains 10E−4
Is the probability that he will get through his entire career without an accident the
same? If so, explain why. If not, calculate it and interpret.
Using the binomial distribution, we have that:
a) 0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
0.0001 probability of an accident on a given day, thus [tex]p = 0.0001[/tex]250 days, for 35 years, thus the number of days is [tex]n = 250(35) = 8750[/tex].Item a:
The probability is P(X = 0), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168[/tex]
0.4168 = 41.68% probability that he gets through his career without a serious cycling accident.
Item b:
The probability changes, as we consider now just five years.The number of days is now [tex]n = 250(5) = 1250[/tex].Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825[/tex]
Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.
A similar problem is given at https://brainly.com/question/24756209
someone help i’ll mark brainliest!!! Find the equation of the line through (7,1)
that has a slope of 1/2
Express your answer in General (Standard) Form.
Answer:
y=1/2x - 2.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can use the point-slope formula to write an equation for this line. The point-slope formula states :
where m is the slope and (x1 y1) is a point the line passes through .
We can substitute the slope and values from the point to give:
(y-1) = 8 (x-7)
We can also transform this equation to the slope-intercept form by solving for
y
. The slope-intercept form of a linear equation is: y=mx+b
where the m is the slope and b s the y-intercept value.
y-1= (8 times x) - ( 8 times 7)
y-1= 8x - 56
y-1 + 1= 8x- 56 + 1
y-0= 8x- 55
y= 8x - 55
Find the value of f(3)
Answer:
3f
Step-by-step explanation:
Use the commutative property to reorder the terms.
DONT ANSWER THIS QUESTION OR ELSE
Answer:
or else what?..... ......
What is the solution to the system -3×+4y+2z=-3 2×-4y-z=0 y=3x-13
Answer:
x=5, y=2, z=2
Step-by-step explanation:
y=3x-13
-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3
9x + 2z = 49 ... (1)
2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0
10x + z = 52 ... (2)
(2)*2-(1): 11x = 55 x = 5
y = 3x-13 = 15-13 = 2 y=2
z = (49-9x) / 2 = 2 z = 2
Is this correct now?
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
Kim bought a $2,310.25 snow thrower on an installment plan. The installment agreement
included a 15% down payment and 24 monthly payments of $125 each. What is the total
finance charge?
O d) $1,036.29
O c) $346.54
O a) $3,346.54
Ob) $3,000
Factor the trinomial
X^2+7x+10
Answer:
(x+2)(x+5)
Step-by-step explanation:
