Answer:
Option B.
Step-by-step explanation:
If equation of a line is y=mx+c, then m is the slope of line.
The given equation is
[tex]y=-\dfrac{2}{3}x+4[/tex]
Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].
We need to find the equation of line that is parallel to given equation and passes through (–2,–2).
We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]
[tex]3(y+2)=-2(x+2)[/tex]
[tex]3y+6=-2x-4[/tex]
[tex]3y=-2x-4-6[/tex]
[tex]3y=-2x-10[/tex]
Divide both sides by 3.
[tex]y=\dfrac{-2x-10}{3}[/tex]
[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]
Therefore, the correct option is B.
Answer:
B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction
Step-by-step explanation:
The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2
Answer:
The correct option is:
y - x = -4
Step-by-step explanation:
The graphed equation is:
y = x - 4
The equation which will have infinite number of solution should overlap the graphed equation at infinity points.
It is only possible when both the equations are exactly same.
Consider the line given:
y - x = -4
Rearrange the equation:
y = x - 4
Thus, it is the same as the first equation.
Verify for point (0,-4)
y - x = -4
-4 - 0 = -4
-4 = -4
Proved.
Verify for point (4,0)
y - x = -4
0 - 4 = -4
0 = -4+4
0 = 0
Proved
The correct option is (1). [tex]y-x= -4[/tex]
Given equation,
[tex]y = x - 4[/tex]
the line, [tex]y = x - 4[/tex] passes through the points (0, -4) and (4, 0).
Comparing with the general equation of a straight line,
[tex]y = mx + c[/tex] , where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.
The slope of the equation [tex]y = x - 4[/tex] is 1 and its The y-intercept is -4.
We know that,
Two equations will have an infinite number of solutions when they are on the same line, that is having the same slope and intercept.
Now we check for the slope and the intercept of the given options.
Option (1) [tex]y - x = -4[/tex]
[tex]y = x - 4[/tex]
Here the slope is 1 and y intercept is -4, which is the same as the given equation and both equations will have an infinite number of solutions.
Now option (2).
[tex]y - x = -2[/tex]
[tex]y=x-2[/tex]
The slope is 1 and y intercept is -2
The slope is the same as the given equation but the intercept is different giving no solution.
Hence the correct option is (1). [tex]y-x= -4[/tex]
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HELP ME PLZ I NEED HELP
Answer: Tossing two coins at once
Step-by-step explanation:
As during flipping two coins we have possibilities one is HH,HT,TH,TT
Answer:
Tossing two coins at once
Step-by-step explanation:
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time?
Answer:
Andy
Step-by-step explanation:
Let's say that x is Andy's speed, and d is the distance he traveled.
The time it takes Andy to reach his friend is d/x.
The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.
The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).
The total time is d/x + d/(10x) = 1.1 d/x.
It takes Ashley 1.1 times longer to reach the friend. Andy gets there first.
When simplified, 4x/7y + 3x/5y is written as?
Answer:
41x/35y
Step-by-step explanation:
combine like terms
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(6)+g(-8) plz help quickly
Answer:
The answer is 51
Step-by-step explanation:
f(x) = 5x + 4
g(x) = −2x + 1
To find f(6)+g(-8) first find f(6) and g(-8) and add them
For f(6) we have
f(6) = 5(6) + 4
= 30 + 4
= 34
For g(-8)
g(-8) = - 2(-8) + 1
= 16 + 1
= 17
So we have
f(6)+g(-8) is
34 + 17
= 51
Hope this helps you
Please help me I am bad at this stuff
Mike bought four new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only twenty-nine cards left.
How many cards did Mike start with ?
Answer:
58 Cards
Step-by-step explanation:
if 2x+1/4 = 12/20 what is the value of x?
Answer:
7/10 or 0.7
Step-by-step explanation:
Step 1: Cross-multiply.
2x+1 / 4 = 12 /20
(2x+1)*(20)=(12)*(4)
40x+20=48
Step 2: Subtract 20 from both sides.
40x+20−20=48−20
40x=28
Step 3: Divide both sides by 40.
40x /40 = 28 /40
x= 7 /10
Answer:
x= 7 /10
7/10 = 0.7
fill in the blank with <,>,or,= to make the statement true -1 1/2 _ -1/4
Answer:
<
Step-by-step explanation:
Since it is a negative value, whatever fraction is closer to 0 will be greater.
Find the smallest four digit number which Is divisible by 18 24 and 32
Answer:
The smallest four digit number divisible by 18, 24, and 32 is 1152.
Step-by-step explanation:
The LCM of the 3 numbers are 288
Then, the smallest four-digit number would equal 1152 (288*4)
Take L.C.M. of 18,24,32= 288
Resulting in 1152 :)
Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar.
Distinct four-letter sequences are formed by picking 4 letter tiles from a bag containing 11 different alphabet tiles. Note that the order in which the letters are picked matters.
The probability of getting a particular four-letter sequence is .
The probability of getting a particular four letter sequence is [tex]\frac{1}{7920}[/tex].
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]P(n, k) =\frac{n!}{(n-k)!}[/tex]
Where:
n – the total number of elements in a set
k – the number of selected elements arranged in a specific order
! – factorial
What is probability?Probability is the measure of the likelihood of an event to occur.
Formula for probabilityP(E) = number of favorable outcomes/ total number of outcomes
According to given question
We have
Total number of tiles = 11
And we have to form distinct four letter sequences by picking 4 letter tiles a bag containing 11 different alphabet.
⇒ n = 11 and k = 4
So, the total number of distinct four letter sequences formed by picking 4 tiles from a bag = [tex]11P_{4}[/tex]
⇒ total number of distinct four letters = [tex]\frac{11!}{(11-4)!} = 7920[/tex]
Since, we have to get only one particular sequence.
⇒ Total number of favorable outcomes = 1
And there are total number of four teller sequence = 7920
⇒ Total number of outcomes = 7920
Therefore, the probability of getting a particular four letter sequence = [tex]\frac{1}{7920}[/tex]
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PLEASE ANSWER ASAP!!!!!! WILL MARK BRAINLY
Answer:
i think u r correct
Step-by-step explanation:
good job
Answer:
B, C, and E ([tex]x\leq -7,[/tex] The graph has a closed circle, and -7 is part of the solution.)
Step-by-step explanation:
Let's first solve the inequality of [tex]15\geq 22+x[/tex].
[tex]15\geq x+22[/tex]
[tex](15)-22\geq( x+22)-22[/tex]
[tex]-7\geq x[/tex]
[tex]x\leq -7[/tex]
So the final equation comes out to be [tex]x\leq -7[/tex].
This graph has a closed circle as it is a greater than OR equal to.
And -7 is a part of this solution as it is the number x is being compared to.
Let me know if I got anything wrong.
Ice cream bars come in a container that cost $3.12 for 6. What is the unit rate for the ice cream bars
Answer:
$1.92
Step-by-step explanation:
The equation would be 6/3.12
that equals 1.92.
Martin competed in a speed skating race. The surface of the ice rink was at
-5°C for the race. The temperature outside was 5°C. How much warmer was
the temperature outside than the surface of the ice?
From -5 to 0 is 5 degrees and from 0 to 5 is 5 degrees.
5 + 5 = 10
It is 10 degrees warmer outside.
Answer:
-5 to 0 is 5 degrees and 0 to 5 is 5 degrees.
5 + 5 = 10
Step-by-step explanation:
have a nice day :)
Which of the following is a like radical to 3 square root 7x
Answer:
A: 4(\root(3)(7x))
Step-by-step explanation:
Just took the test answer above is wrong this one is right.
.swag.
Answer: A
Step-by-step explanation: tis A. edge 2023 :)
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!) help pls fast
Answer y=x
Step-by-step explanation:
y=x when x equal one y equals one
The algebraic equation to match each graph will be y = | x |.
What is an equation?
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given graph shows that for every value of y the value of x will always be positive. Then the algebraic equation will be written as below:-
y = | x |.
Therefore, the algebraic equation to match each graph will be y = | x |.
The graph of the equation is attached with the answer below.
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SOMEONE PLS HELP I WILL GIVE BRAINLIEST
factor x^(n+2)+x^(2)
pls explain too :>
Answer:
x² (x^n + 1)
Step-by-step explanation:
factor x^(n+2) + x²
= x^(n+2) + x²
= x^n • x² + x² (using law of indices)
= x²(x^n + 1)
If you're good at exact values of trigonometry please help meeeee
Find the exact value of x and hence find the exact area with full working out
Answer:
x = 6 + 16 sqrt(3) / 3 or equivalently 6 + 16/sqrt(3)
Step-by-step explanation:
Have enough data to solve only for x in the diagram.
The lengths that make up the base are respectively from left to right
x1 = 4 cot(60) = 4 (3/sqrt(3)) = 4sqrt(3) m
x2 = 6 m
x3 = 4 cot(30) = 4 ( sqrt(3) / 3 ) = 4/ sqrt(3) = (4/3)sqrt(3) m
Altogether
Base, x = 4sqrt(3)/3 + 6 + 2 sqrt(3)
= 6 + 16 sqrt(3) / 3 or equivalently 6 + 16/sqrt(3)
Answer:
Step-by-step explanation:
First triangle: angles are in the ratio = 30 : 60 : 90
So, the ratio of sides = a : a√3 : 2a
a√3 = 4 m
a * 1.732 = 4
a = 4/1.732
a = 2.31
Now, in the second triangle, angles are in the ratio = 30 : 60 : 90
So, the ratio of sides = b : b√3 : 2b
b = 4 m
b√3 = 4 * 1.732 = 6.928 m
x = a + 6 + b
x = 2.31 + 6 + 6.928
x = 15.23 m
a glacier that was 1,076 meters thick changed in thickness at an average rate of -22.7 meters per year for 7 years. Write an addition expression you can use to find the glacier's thickness after 7 years answer fast ASAP PLEASSEEEE running out of timeeeee
Answer:
1076-(22.7)7
Step-by-step explanation:
Determine whether quadrilateral DEFG is similar to quadrilateral QRST. If so, give the similarity statement. options: A) QRST ∼ GFED B) Impossible to determine. C) QRST ∼ DEFG D) The quadrilaterals are not similar.
Answer:
A) QRST ∼ GFED
Step-by-step explanation:
We have to compare the ratios of all the sides one by one. Once I divided each side length by the equivalent side length on all four sides of both quadrilateral, make sure they are all equal.
Answer:
A) QRST is similar to GFED
Step-by-step explanation:
quadrilateral GFED is 1.25 times larger than quadrilateral QRST not to be confused with QRST is similar to DEFG because then the sides would not correspond to each other
how to convert m into mm
Answer:
Multiply value in mm by 1000
Step-by-step explanation:
For example, 3m = (3 * 1000)mm
= 3000mm
Answer:
multiply by 1000
Step-by-step explanation:
1m = 1000mm
If i need convert meter en mikimeters
i multiply meter by 1000, example:
7 meters:
7 * 1000 = 7000 milimeters
another example:
4.75m = 4.75*1000 = 4750 milimeters
Can someone please help me with this question
Answer:
54
Step-by-step explanation:
ASAP!! can someone help answer these and include work, whoever answers most gets brainliest!! i underlined the questions
your work for the first one is perfect!!
the second one gives you the side lengths of x+2 and x-5. the formula for the area of a rectangle is l×w so you have to multiply (x+2)(x-5) and im sure you can figure that out but the answer to that is x^2-3x-10
you set up number 3 right, you just need to continue with the distribute property which would give you 4x^2-20x+25
number 4 is the same as the other ones and the answer is 36x^2-1
number 5 is just distributing the -z^3 into everything in the parenthesis giving you -5z^3-z^4+4z^5
I cant see all your work for number 6, but I can see that your term for c is 5, when it is actually -5. it looks like you didnt subtract it to make the quadratic equal to zero and to do that you would have to subtract 5.
tbh I cant read number 7
hope that helped :)
is x=-3 a function plz respond in one minute
Answer:
x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.
Step-by-step explanation:
What is the fractional form of?
Answer:
C.
Step-by-step explanation:
You can memorize the patterns of fractions of ninths.
0/9 = 0
1/9 = 0.1111111111111111111111
2/9 = 0.222222222222
3/9 = 0.3333333333333
4/9 = 0.4444444444444
5/9 = 0.5555555555556
6/9 = 0.6666666666667
7/9 = 0.777777777777778
8/9 = 0.88888888888889
9/9 = 1
Hope this helps!
Answer:
C. 8/9
Step-by-step explanation:
Well .8 repeating is not 8/10.
Though many would choose that.
If you do 8 ÷ 10 you get .8 not .8 repeating meaning 8/10 is not correct.
To get .8 repeating we would divide 8 by 9.
Because all natural numbers below 9 can be divided by 9 to create a .repeating itself.
For example 8 ÷ 9 = .8 repeating,
4÷9 = .4 repeating.
Thus,
C. is the correct answer.
Hope this helps :)
⚠️PLEASE HURRY!!⚠️
Which expression is equivalent to the area of square A, in square inches?
Answer:
10² + 24²
Step-by-step explanation:
The diagram illustrates Pythagoras' identity.
The square on the hypotenuse of a right triangle is equal t o the sum of the squares on the other 2 sides.
A is the square on the hypotenuse, thus
A² = 10² + 24²
Answer:
[tex] {10}^{2} + {24}^{2} [/tex]Step-by-step explanation:
Let side of the square be a
Now, let's find:
Hypotenuse ( h ) = a
Perpendicular ( p ) = 10
Base ( b ) = 24
Applying Pythagoras theorem in the right triangle formed by the square:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
plug the values
[tex] {a}^{2} = {10}^{2} + {24}^{2} [/tex]
Hope this helps..
Best regards!!
PLEASE HELP ME OUT! Check out the first two questions on my profile please! It will really help me out
NIJFNC JFVNJNFDVCMK DSN CHSFBNCODJ MKNVF
Step-by-step explanation:
HELPPPP PLEASEEE I DONT WANNA GOT TO GRANNYS HOUSE
Answer:
15
Step-by-step explanation:
f(5) = (5)^2 - 2(5) = 25 - 10 = 15
if (x + y) + (2(x + y) + 3) = 9, what is x + y??
A. 3-1
B. -3 + 1
c. -3-1
D 3 + 1
E. 9-31
Answer:
[tex]\boxed{\mathrm{Option \ A}}[/tex]
Step-by-step explanation:
=> [tex](x+y)+(2(x+y)+3)=9[/tex]
Solving the bracket
=> [tex]x+y+2x+2y+3 = 9[/tex]
=> [tex]3x+3y = 9-3[/tex]
=> [tex]3(x+y) = 6[/tex]
Dividing both sides by 3
=> [tex]x+y = 2[/tex]
A) 3 - 1 = 2 ← (Correct Answer)
B) -3+1 = -2
C) -3-1 = -4
D) 3+1 = 4
E) 9-31 = -22
Lincy is standing 20 feet from the circular wall of an above ground swimming pool and 49 feet from a point of tangency. Find the radius of the pool.
Answer:
the radius of the pool is 50.025 feet
Step-by-step explanation:
From the information given:
We can have a schematic view of a diagrammatic illustration in our mind where the distance of the pool to Lincy is (20 + r ) and the distance to the tangent is 49.
So; by using pythagoras theorem, since the radius meets the tangent at a right angle; we have:
[tex]r^2 + 49^2 = ( r + 20 )^2[/tex]
[tex]r^2 +2401 = r^2 + 40r + 400[/tex]
[tex]2401 = 40r + 400[/tex]
[tex]2401- 400 = 40r[/tex]
2001 = 40 r
r = 2001/40
r = 50.025 feet