FIND THE ERROR Fern is finding the slope of the line that passes through (-2, 8) and (4. 6). Determine in which step she made an error. Ex
Answers
Answer:
Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.
Step-by-step explanation:
Fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept
Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).
In order to find the slope of the line, the following formula is used -
m = (y₂ - y₁)/(x₂ - x₁)
So, the slope of the line passing through the given points can be calculated using the following steps -
m = (6 - 8)/{4 -(-2)} ..[1]
m = -2/6
m = -1/3
Fern made mistake in writing equation [1]. She should have written
{4 -(-2)} in the denominator in place of {-2 - 4}
Therefore, fern made a mistake in writing equation [1] where she wrote {-2 - 4} in the denominator in place of {4 -(-2)}.
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Related Questions
Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x
Answers
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
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A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?
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Answer:
[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
Step-by-step explanation:
Average speed = distance/time
Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour
Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
How to calculate partiail direvesein boundary integral.
Answers
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
Identify the domain of the function shown in the graph.
O A. x>-1
O B. {-1,1)
O C. -15x31
O D. xis all real numbers.
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
x is all real numbers
Option D is correct, domain of the function in the graph are x is all real numbers.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the domain of the given function.
What can go into a function is called the Domain.
What may possibly come out of a function is called the Codomain.
What actually comes out of a function is called the Range.
IAs we observe the x values through which the curve is passing, it is passing through all the points of x axis.
So the domain will be all the real d=numbers.
Hence, Option D is correct, domain of the function in the graph are x is all real numbers.
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What is the value of this expression?
1.5(−2.4+(−5.3))
−11.55
−4.35
4.35
11.55
Answers
Answer:
the answer is negative 11.55
Step-by-step explanation:
-2.4+-5.3=-7.7.
7.7(1.5)=-11.55
[tex] \sqrt{5} = 2.236 \: and \: \sqrt{10} = 3.162 \: find \: the \: value \: of \: \sqrt{10} + \sqrt{20} + \sqrt{40} - \sqrt{5} - \sqrt{80} [/tex]
Answers
Answer:
√10+√20+√40-√5-√80 = 2.778629
The functions
=
shown in the graph.
f(2)= - x + 2 and
g(x) = (1)* + 1 are
- x + 2 = (*)* + 1
Ex+2
;
-3 -2 -1
1 2 3
What are the solutions to
3
=
-1
-2
Select each correct answer.
0-1
ОО
1
02
3
Answers
Answer:
0 and 1
Step-by-step explanation:
f(x) = g(x) at the point the touch each other.
Here they touch each other when x = 0 (touching the y axis) and x = 1
(951² - 159²)÷(7539²-357²) x (258²-852²)
Answers
Answer:
(879,120)÷(56709072) ×(-659340)=-10221.274
Step-by-step explanation:
we use bedmas rules when it comes to long solving questions.
the four regions on the coordinate plane are called
Answers
Answer:
They are called quadrants
Hope it helps:)
Classify the polynomial: x5 + x3
Answers
Answer:
It is a 5th-degree polynomial
Step-by-step explanation:
Looking at the expression, we can see that x⁵ is the term with the highest degree, so we call the expression a 5th-degree polynomial.
Hey guys! Do you mind helping me with these two problems? Thank you!
Answers
Answer:
B
Step-by-step explanation:
All are whole numbers not real numbers not
9w = -54
what does w =
Answers
Answer:
w = -6
Step-by-step explanation:
[tex]9w=-54~(Given)\\\\\frac{9w}{9}=\frac{-54}{9}~(Divide~9~on~both~sides)\\\\w=-6~(Simplify)[/tex]
-4 -12
-2 -6
0 0
2 6
what is the slope?
what is the y-intercept?
proportional or not proportional?
Answers
Answer:
Slope(m)=3
Y-intercept= 0
y = 3x +0
Proportional
Step-by-step explanation:
m = -6--12/-2--4
m=6/2
m=3
-12 = 3(-4) + b
-12 = -12 + b
0=b
Answer:
slope, m = 3
y-intercept, b = 0
Proportional
Step-by-step explanation:
If we assume this is a straight line, we can calculate the slope between two of the given points. I'll pick (-2,-6) and 2,6).
Slope is the Rise (the change in y) over the Run (the corresponding change in x).
Rise for these two points: 6 - (-6) = 12
Run for the points is: 2-(-2) = 4
Rise/Run (Slope) = 12/3 = 4
The line becomes y=3x+b
b is the y-intercept. We can either solve for b by entering one of the points, but the y-intercept is the value of y when x=0. Behold: one of the points is (0,0), so we already have b. It is 0.
y=3x+0
y=3x is the equation.
slope, m = 3
y-intercept, b = 0
A non-proportional graph is a straight line that does not go through the origin. A proportional graph is one that does, so this is a proportional graph.
A certain book has 200 pages, and 47 of these pages have an illustration. If one of the book's pages
is selected at random, what is the probability of selecting a page with an illustration? (Express your
answer as a decimal or fraction, not as a percent.)
Answers
Answer: fraction:47/200 desimal:0.235
Step-by-step explanation:
In chemistry class, Bob recorded the volume of a liquid as 16.1 mL The acual volume was 15.5 mL. Use the formula to find percent error of Bobs measurement to the nearest tenth of a percent
Answers
Answer:
3.9% is the rounded version
Step-by-step explanation:
Answer:
37.0%
Step-by-step explanation:
thanks pi sa points uwu (^^)
godblesss
help me pls ASAP , ion understand :/
Answers
Answer:
-t+9.5<7
Step-by-step explanation:
-8.5 < 7
Which shows the prodcuts orderd from least to greatest
Answers
——————
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M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M
Answers
Answer: M = [tex]\frac{x-2y}{x+y}[/tex]
Step-by-step explanation:
[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]
M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)
M (x + y) = x + 2y - 4y
M (x + y) = x - 2y (Divide (x+y) from both sides)
M = [tex]\frac{x-2y}{x+y}[/tex]
In parallelogram NPQR if m&NPQ=125° find m&PQR.
Answers
Answer:
55
Step-by-step explanation:
(360 - 125 - 125) / 2 = 55
Opposite angles are the same in a parallelogram.
what is 3.46 divided by .03
Answers
Answer:
115.3
Step-by-step explanation:
Answer: 115.3333333333 or 115 1/3
Step-by-step explanation:
You take 3.46 and divide it by .03
and you get 115.3333333333 or 115 1/3
Hope this helps :)
cuantos segundos tiene una hora
Answers
Answer:
3600
Step-by-step explanation:
Answer:
3600
Step-by-step explanation:
verificando :)
write 65% as term fraction in its lowest a
Answers
Answer:
13/20
Step-by-step explanation:
65% = 65/100 = 13/20
Hoped this helped.
Answer:
13/20
Step-by-step explanation:
Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
Answers
Answer:
The answer is 12.6
Step-by-step explanation:
See the solution in the picture.
Find the 8th term of the G.P 9,3,1,
Answers
Answer:
a=9 , d=6 n=8
a+(n-1)d = an
9+(8-1)6 = an
9+7×6 = an
9+42 = an
51 = an
Draw a circle. Shade five sixths of it. What percent circle is not shaded?
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____x0.01 = 180.4932
what's the answer?
Answers
180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right
What is (n+9) - (2-2n)
Answers
Answer:
Simplifying
(n + 9) + -1(2 + -2n) = 0
Reorder the terms:
(9 + n) + -1(2 + -2n) = 0
Remove parenthesis around (9 + n)
9 + n + -1(2 + -2n) = 0
9 + n + (2 * -1 + -2n * -1) = 0
9 + n + (-2 + 2n) = 0
Reorder the terms:
9 + -2 + n + 2n = 0
Combine like terms: 9 + -2 = 7
7 + n + 2n = 0
Combine like terms: n + 2n = 3n
7 + 3n = 0
Solving
7 + 3n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 0 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 0 + -7
3n = 0 + -7
Combine like terms: 0 + -7 = -7
3n = -7
Divide each side by '3'.
n = -2.333333333
Simplifying
n = -2.333333333
Step-by-step explanation:
help algebra 2 100 pints if you answer right
Answers
Answer:
49x^4-70x^3+319x^2-420x+150, first option
Step-by-step explanation:
Just do (7x^3-5x^2+42x-30) times (7x-5)
and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.
All this would simplify to the first option.
49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150
= 49x^4 - 70x^3 + 319x^2 - 420x + 150
ANSwer: The first one.
Ken and Leah are trying to solve a science homework question. They need to find out how much a rock that weighs 4 pounds on Earth would weigh on Mars. They know they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars..
Answers
Answer:
1.52
Step-by-step explanation: your suppose to multiply them I just learned this 2 weeks ago hope this helps
What is the answer please?
Answers
Answer:
its f
Step-by-step explanation:
Answer:
H. [tex]x\leq -5[/tex]
Step-by-step explanation:
hope this helps!