Answer:
Required equation of line in point-slope form is:
[tex]y-5 = -\frac{3}{5}(x+5)[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]y = \frac{5}{3}x+2[/tex]
The slope-intercept form of line is:
[tex]y = mx+b[/tex]
Comparing both we get
m = 5/3
We have to find the equation of a line that is perpendicular to given line and passes though (-5,5)
The product of slopes of two perpendicular lines is -1
Let m1 be the slope of line perpendicular to given line then
[tex]m.m_1 = -1\\\frac{5}{3} . m_1 = -1\\m_1 =-\frac{3}{5}[/tex]
Point-slope form is given by:
[tex]y-y_1 =m_1(x-x_1)\\[/tex]
Putting m = -3/5 and (x1,y1) = (-5,5)
[tex]y-5 =-\frac{3}{5}(x-(-5))\\y-5 = -\frac{3}{5}(x+5)[/tex]
Hence,
Required equation of line in point-slope form is:
[tex]y-5 = -\frac{3}{5}(x+5)[/tex]
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Answer: the second column is 12, then 15, then 6
Step-by-step explanation:
that is some good chocolate milk
I really need help
Solve for x
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
1. Both are corresponding angles, hence they both are equal, so,
[tex]44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2[/tex]
Ans. C) 2
2. They both are in interior corressponding, hence their sum is equal to 180°, so,
[tex]10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7[/tex]
Ans. D) 7
3. They both are in interior corressponding, hence their sum is equal to 180°, so,
[tex]x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10[/tex]
Ans. A) -10
4. Both are corresponding angles, hence they both are equal, so,
[tex]12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6[/tex]
Ans. A) 6
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What is the solution to this equation
-4x + 2 = 26
Answer:
x=-6
Step-by-step explanation:
Move all terms that don't contain x to the right and solve using the elimination process.
A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed?
Step-by-step explanation:
Let the width be = w
The length will be = w+9
And height h = 3 inches ( side of square =3 in)
Volume = l x w x h
According to question
[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]
So, this equation indicates that the volume of the box is 80 in.
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?
Answer:
98
Step-by-step explanation:
49 + 49 = 98
For what value of x does 3^2x-9^3x-4
Answer:
jdjndbncjjsnnxjjxjnxjnsnnx.
Evaluate 1/6t+1/12 when t=1/2
Answer:
1/6
Step-by-step explanation:
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I need help
Y=2x+7
X=4
Y=
Answer:
Y=15
Step-by-step explanation:
2(4)+7
8+7
15
Answer:
Y=15
Step-by-step explanation:
Use the lesser than sign in the greater than sign to fill in the middle blanks , between the two numbers given? < , >
Answer:
-67>-76
|-24|<|-42|
|45|<|-54|
Step-by-step explanation:
The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.
Find the prime factorization of 32. Write in exponential form.
thank you !!!
Answer:
2 exponent is 5
Step-by-step explanation:
5
so 2
A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4 x 103 milliliters of sugar water.
This question is incomplete
Complete Question
A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?
A.1.7 x 10⁴ milliliters
B.3.58 x 10⁴ milliliters
C.3.74 x 10⁴ milliliters
D.3.9 x 10⁴ milliliters
Answer:
C. 3.74 x 10⁴ milliliters
Step-by-step explanation:
The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water
This equals to:
2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.
Hence:
2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water
= (2.8 × 10⁴) + (9.4 × 10³)
= 37400
= 3.74 x 10⁴ milliliters
Therefore, option C is correct
Express the following ratios in simplest form: 20:40
Answer:
1:2
Step-by-step explanation:
By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20
Answer:
1 : 2
Step-by-step explanation:
20 : 40
20/10 : 4/10
2 : 4
2/2 : 4/2
1 : 2
What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6?
Answer:
y - 1 = 1/6x + 1 <<< Point slope form
y = 1/6x + 2 <<< slope intercept form
Either one works unless the question specifies the form of the equation
Step-by-step explanation:
Point slope form: (y - y1) = m(x - x1)
Given: (-6,1) ; m = 1/6
(y - 1) = 1/6(x - (-6))
y - 1 = 1/6x + 1 <<< Point slope form
y = 1/6x + 2 <<< slope intercept form: y = mx + b
7TH GRADE MATH ASAP. Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he has 11 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 13 left over. How many chairs does Liam have?
Answer:
19 chairs
Step-by-step explanation:
you can make two equations
1. y = 8x + 11
2. y = 6x + 13
Y is the number of total chairs and x is the length
so 8x + 11 = 6x + 13
2x = 2
x = 1
so the length is one
To find the total number of chairs just plug in one as x
y = 8 + 11
y = 6 + 13
y = 19
so 19 chairs is the number of chairs Liam has.
If 3x + 6 = 213x plus 6 equals 21, what does x + 2x plus 2 equal?
Answer:
17
Step-by-step explanation:
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Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.
Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked How much farther did Molly walk than her brother and sister combined? 0.85 miles
Answer:
1.4
Step-by-step explanation:
in 1989 a postage stamp cost $.25. In 1999 a postage stamp cost $.33. Find the average rate of
change in postage in cents per year.
HELP ASAP
Answer:
0.33-0.25= 0.08
then 1999-1989= 10
lastly 0.008
Step-by-step explanation: so the average rate of
change in postage in cents per year. is 0.8 of a cent. or 0.008 of a dollar.
What is the sum of the rational expression below? 3x/x+2 + x/x+4
A. 4x^2 +14x/x^2 + 6x + 8
B. 4x/2x + 6
C. 3x^2/x^2 + 8
D. 4x^2 + 4x +8/x^2 + 6x +8
The sum of the rational expression is (4x²+14x)/ (x²+6x+8)
How to find the sum of the rational expression?
A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.
To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):
3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)
= [3x²+12x + x²+2x] / (x²+4x+2x+8)
= (4x²+14x)/ (x²+6x+8)
Learn more about rational expression on:
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Answer:
equilateral triangle, isosceles triangle, scalene triangle
(Left to Right)
Step-by-step explanation:
Answer:
1-equilateral triangle 2- isosceles triangle 3- scalene triangle
Step-by-step explanation:
Help me please
Make x the subject of the formula
X – 7r = bc
Answer:
x = bc + 7r
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define equation
x - 7r = bc
Step 2: Solve for x
Add 7r to both sides: x = bc + 7rHelp please...........bad
Answer: 0,5, and -4 is the zeros
Step-by-step explanation:
Problema 1: Para llegar a su colegio, Sergio Alejandro debe dar 560 pasos. ¿Cuántos minutos demorará en llegar, si da un par de pasos en la cuarta parte de medio minuto?
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!
Step-by-step explanation:
In a school, the number of boys is 9 more than thrice the
number of girls. If the total roll of class is 60. What is the
total roll of girls.
[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]
Let the number of girls = [tex] x [/tex]
Then, According to the question,
number of the boys = [tex] 9 + 3x [/tex]
Total students in class = 60, so
[tex]9 + 3x + x = 60 \\ = > 9 + 4x = 60 \\ = > 4x = 60 - 9 \\ = > 4x = 51 \\ = > x = 51 \div 4 \\ = > x = 12.75[/tex]
On rounding off
Then, number of girls = 13
Let the number of girls = x
Then, According to the question,
number of the boys = 9 + 3x9+3x
Total students in class = 60, so
\begin{gathered}9 + 3x + x = 60 \\ = > 9 + 4x = 60 \\ = > 4x = 60 - 9 \\ = > 4x = 51 \\ = > x = 51 \div 4 \\ = > x = 12.75\end{gathered}9+3x+x=60=>9+4x=60=>4x=60−9=>4x=51=>x=51÷4=>x=12.75
On rounding off
Then, number of girls = 13
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines decreased by factor of 4?
Answer:
88 hours
Step-by-step explanation:
Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, we are simply going to increase the work hours by a factor of 4
Increasing the work hours by a factor of 4 will yield 22 * 4 = 88 hours
So it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4
64°
70°
to
Find the value of x.
x=134°
Step-by-step explanation:
180-(64+70)=46
x=180-46
x=134°
Answer:
134*
Step-by-step explanation:
64 + 70 should equal x but to make sure:
180-64-70= 46 then 180 - 46= 134 so yes
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I don't understand algebra 2!!! at all idk why
break it down please help
Answer:
1/5... 1 on top 5 on bottom
Step-by-step explanation:
sub in the values:
[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]
now add:
[tex]\frac{12}{60}[/tex]
simplify:
1/5
Question: There are 60% of students currently taking AP Biology who have taken previous AP courses. Carver High School has 9 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation? (2 points)
Options:
A. Assign 0, 1, and 2 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
B. Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
C. Assign 0 and 1 as having taken previous AP courses and 2, 3, 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
D.Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
E. Assign 7, 8, and 9 as having taken previous AP courses and 0, 1, 2, 3, 4, 5, and 6 as not having taken previous AP courses.
Answer:
B: Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
Step-by-step explanation:
Got it right on the quiz
The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
How to design the simulation?The proportion of students taking AP biology is given as:
p = 60%
Express as fraction
p = 6/10
This means that for every 10 students, 6 of them are taking AP Biology.
To simulate this, we can make use of 10 numbers (say 0 to 9)
Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.
While the other number can be assigned to other students
Hence, the simulation of this probability is (b)
Read more about probability at:
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