Answers
Answer:
Step-by-step explanation:
Slope of line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph attached,
Slope of the line passing through (-3, 0) and (0, 5) = [tex]\frac{5-0}{-3-0}[/tex]
= [tex]-\frac{5}{3}[/tex]
Line passing through a point (h, k) and slope 'm' will be,
y - h = m(x - k)
Since, line passing through (11, 0) is parallel to the line given in the graph,
Slope of the parallel line will be same as [tex]-\frac{5}{3}[/tex]
Equation of a line passing through (11, 0) and slope = [tex]-\frac{5}{3}[/tex]
y - 0 = [tex]-\frac{5}{3}(x-11)[/tex]
y = [tex]-\frac{5}{3}(x-11)[/tex]
Now satisfy this equation with the points given in the options,
Option (1)
For (1.67, -15.59),
-15.59 = [tex]-\frac{5}{3}(1.67-11)[/tex]
-15.59 = -15.55
False.
Therefore, given point doesn't lie on the line.
Option (2)
For (-0.33, -13.59)
-13.59 = [tex]-\frac{5}{3}(-0.33-11)[/tex]
-13.59 = -18.88
False
Option (3)
For (0.67, -18.59),
-18.59 = [tex]-\frac{5}{3}(0.67-11)[/tex]
-18.59 = 17.22
False
Option (4)
For (1.67, -15.59)
-15.59 = [tex]-\frac{5}{3}(1.67-11)[/tex]
-15.59 = -15.55
False.
Therefore, none of the points given in the options are lying on the line.
Related Questions
solve the inequality. -1/3w ≤ -5
Answers
Answer:
[tex] \frac{ - 1}{3} w \leqslant - 5[/tex]
[tex]w \leqslant - 5 \div \frac{ - 1}{3} [/tex]
[tex]w \leqslant - 5 \times - 3[/tex]
[tex]w \leqslant 15[/tex]
Could someone please help answer this, please no spam, thank you, will give brainliest (homework help)!
Answers
Answer:
Step-by-step explanation:
what is (m−3+4n)⋅(−8)=−8m+24−32n
Answers
Answer:
-8m+24-32n
Step-by-step explanation:
8×m,-3and 4n
PLEASE HELP IM STUCK ON THIS ONE
Answers
Answer:
1. 1/200
2. 15/2
3. 11/36
4. 8/5
Step-by-step explanation:
what is x/y+z=w to make x the subject of the formula
Answers
We can make x the subject of the equation by moving all the other terms to the opposite side of the equal sign while x is on the next.
x/y+z=w [multiply both sides by y+z]
x = w (y + z)
I will mark brainliest!!
Answers
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = x^2}}[/tex]
[tex]\huge\boxed{\mathsf{x^2 = \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\rm{ \ TAKE \ your \ SQUARE \ ROOT}}}[/tex]
[tex]\huge\boxed{\mathsf{x = \pm \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\ \rm{The \ symbol\ \boxed{\pm}\ means \ plus \ or \ minus, so \ that \ means}}}\\\large\boxed{\boxed{\rm{either \ the \ result \ will \ be \ \underline{\underline{positive}} \ or \ \underline{\underline{negative}}}}}}}\large\checkmark[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = -\sqrt{121}}}[/tex]
[tex]\huge\boxed{\sqrt{121} = \bf 11}[/tex]
[tex]\huge\boxed{\mathsf{-\sqrt{121} = \bf -11}}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{x = -11 or x = 11}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which of the following best describes the slope of the line below?
O A. Zero
B. Negative
C. Positive
D Undefined
Answers
Answer:
B
Step-by-step explanation:
going down on the right
Answer:
B
Step-by-step explanation:
Aline with zero slope is a horizontal line parallel to the x- axis
A line with undefined slope is a vertical line parallel to the y- axis
A line sloping upwards from left to right has a positive slope
A line sloping downwards from left to right has a negative slope.
The line shown slopes downwards from left to right and has a negative slope
HELPPPPPPPPPPPPPPPPppp
What is the constant of proportionality of this sentence? Sarah bought 3 pounds of grapes for $2.25. Ban bought 4 pounds of grapes for $3.00.
Answers
Answer:
75
Step-by-step explanation:
Each pound costs 75¢ so by each pound it increases by 75¢
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
7200
Step-by-step explanation:
The number was 72. you move the decimal 2 places to the right (left if it was negative) There are no numbers there. So you add 0's .
(Sorry if I did not explain good enough. I am not very good at explaining things.)
edin has £300 in his saving account.
his bank offers him a fixed 5% simple interest rate per annum, for a period of 3 years.
how much interest will he have earned after 3 years?
Answers
Answer:
$45
Step-by-step explanation:
300/100 = $3 = 1%
$3 x 5 = $15 = 5%
$15 x 3 years = $45
describe and find the slope of the line
Answers
I am cooking a recipe. It requires 7/2 of sugar. I only have a 1⁄4 cup to measure the sugar with. How many quarter cups would I need to measure the correct amount of
Answers
Answer:
14
Step-by-step explanation:
Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator
[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]
You now divide the fractions to find the amount of correct measurements needed.
[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.
This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]
You will need 14 correct measurements.
Help help me pleaseee and thanks
Answers
Answer:
10
Step-by-step explanation:
sqrt. 100 = 10
because base x height = area
base and height must be same length in a square
Ksjdjfnfkdkdklddkdkfjfnfnfnnffk
Answers
Answer: X = 20
Step-by-step explanation:
Answer: X = 20
Step-by-step explanation:
To get this
3 * 20 + 12 = 20
3*20=60
60+12=72
72
help plz ill give u BRAINEST
Answers
Answer:
First option, relation 1 and relation 4
Step-by-step explanation:
Because they both cross one of the two axes once, which from what I remember, makes it a function.
Hope this makes sense, and please correct me if I'm wrong :)
8 /13 convert the following rational number into decimal form
Answers
Answer: 0.615
Step-by-step explanation:
actually do the division.
you will need a calculator most of the time.
8/13 = 0.615
solve the inequality x/2-5>4
Answers
Answer:
x>18
Step-by-step explanation:
[tex]\frac{x}{2} -5>4\\\\\\\frac{x}{2} >9\\\\\\\\x>9(2)\\\\\\x>18[/tex]
whats your zodiac sign 100 points first to answer gets brainliest
Answers
Answer:
I'm a Cancer lol.
Step-by-step explanation:
Answer:
My zodiac sign is Scorpius (Scorpion) since my birthday is on the 12th of November
Step-by-step explanation:
Which of the following represents the function graphed? F(x)=1/2 x f(x)=x f(x)= x+2
Answers
F(x)=x
ab + Bbc, a=0. b = -6, and c = 5
Answers
Answer:
180
Step-by-step explanation:
0 x -6 + -6 x -6 x 5
0 + 180 = 180
Please help I have 20 minutes to turn this in
Answers
Answer:(-6,30)
Step-by-step explanation:
x=-6
y=30
Answer: (-6,30)
Step-by-step explanation:
-5x=-x+24
+x=+x
-4x=24
÷-4=÷-4
X=-6
Y=-5x
Y=-5(-6)
Y=30
(-6,30)
I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?
0.35
0.05
0.015
3.0
500
In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?
y = - 2/3x + 3
y = -3/2x - 1
y = 2/3x - 1
y = 3/2x + 2
y = 2/3x + 1
Answers
a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.
b. 2y = 3x + 1
y = 3x/2 + 1/2
Perpendicular = negative reciprocal of original function's slope.
3/2 -> -2/3x.
Only the first one fulfills the equation, thus:
-2/3x + 3.
(1) The slope of line b is 0.35. The correct option is A.
(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.
The slope of line b,
b = 0.2 + a
b = 0.2 + 0.15
b = 0.35
(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-
The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,
y = -2/3x + 3
To know more about an equation of the line follow
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A certain substance in an experiment was being stored at −1.7°F. It was then placed on a table where the temperature was raised by 3.1F
What was the new temperature of the substance?
the answers are
-4.8F
-1.4F
1.4F
4.8F
Answers
1.4F. When you add 3.1 to -1.7 you get 14F
Answer:
The answer is 1.4.
Step-by-step explanation:
(x^2 + 2x + 2)(x + 5) = 0
Answers
Is the answer
Evaluate (2-5i)(p+q)(i) when p= 2 and q=5i
Answers
Answer:
it's 25qr 78 5×4 and then 12÷5= 2r28
Pamela is 7 years younger than Jiri. The sum of their ages is 63. What is Jiri's age?
Answers
Answer: 35
Step-by-step explanation: (lol I read the question wrong). Basically subtract 7 from 63, then divide 56 by 2 to find Pamela’s age. Then add 28+7 because Jiri is 7 years older than Pamela
A number added to three is the same as twice the number. Find the number. Round your answer to the nearest integer, if necessary.
Answers
Step-by-step explanation:
let the number be x
x +3= 2x
collect the like terms
x-2x= -3
-x = -3
x=3
PLEASE MARK BRAINLIEST
Plz help ASAP <3
james draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper. what is the equation of the line?
A) y= 5/3 x + 3
B) y=5/3 x - 5
C) y=3/5 x - 5
D) y= 3/5 x + 3
Answers
Answer:
the answer is D
Step-by-step explanation:
yeah-ya..... right?
The equation of line will be;
⇒ y = - 3/5x + 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.
Now,
Since, James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.
Hence, The slope of the line = - 3/5
And, The y - intercept = 3
Thus, The equation of line will be;
⇒ y = - 3/5x + 3
Learn more about the equation of line visit:
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A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?
Answers
The cost can be optimized by using a Linear Programming given the linear constraint system
To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteriaReason:
Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)The boundary of the feasible region are;
(20, 70)
(20, 53.[tex]\overline 3[/tex])
(60, 0)
(60, 70)
The cost are ;
[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]
Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type IILearn more here:
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2c–8°, 3c–14°, and c+15°
solve for c
Answers
Answer:
Simplifying
c + -2 = 3c + 14
Reorder the terms:
-2 + c = 3c + 14
Reorder the terms:
-2 + c = 14 + 3c
Solving
-2 + c = 14 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
-2 + c + -3c = 14 + 3c + -3c
Combine like terms: c + -3c = -2c
-2 + -2c = 14 + 3c + -3c
Combine like terms: 3c + -3c = 0
-2 + -2c = 14 + 0
-2 + -2c = 14
Add '2' to each side of the equation.
-2 + 2 + -2c = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -2c = 14 + 2
-2c = 14 + 2
Combine like terms: 14 + 2 = 16
-2c = 16
Divide each side by '-2'.
c = -8
Simplifying
c = -8
Step-by-step explanation: