Consider the following equation
3x + 9y = 8y - 2
Step 2 of 2: Find the equation of the line which passes through the point (13,5) and is perpendicular to the given line. Express your answer in
slope-intercept form. Simplify your answer.
Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is
apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's
market? )
Express your answer in fraction and decimal form.
Solve on paper. Then check your work on Zearn. )
The farmer sold
kg or
kg of pears.
8
9
Enter ✓
0
3
5
Answer:
1.52
Step-by-step explanation:
The Johnson family is taking a road trip. They travled 456 miles in 8 hours. James said their rate is 57 miles per hour.
Do you agree with James? Explain
Answer:57
Step-by-step explanation:
I would do 456/8 to figure out how many miles they went every hour, 456/8 is 57 so James is correct.
If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?
Answer:
b
Step-by-step explanation:
(Angles in
The figure shows a parallelogram ABCD where BÂD = 64°
Elies on AB such that AÐE = 49°.
C С
D
49
Calculate
(i) ABC,
(ii) CỘE.
64
B
A
E
Answer:
m<ABC = 116°
m<CDE = 67°
Step-by-step explanation:
✔️m<ABC = 180 - m<BAD (adjacent angles of a parallelogram are supplementary)
m<ABC = 180 - 64° (Substitution)
m<ABC = 116°
✔️m<CDA = m<CDE + m<ADE (angle addition postulate)
m<CDA = m<CDE + 49°
m<CDA = m<ABC (opposite angles of a parallelogram are congruent)
m<CDE + 49° = 116° (substitution)
m<CDE = 116° - 49° (Substraction property of equality)
m<CDE = 67°
What is the difference between multiplication and exponents?
Answer: Base Number is defined as a number which is multiplied by itself, whereas the exponent represents the number of times the base number is multiplied.
The table shows the number of goals scored by Number of goals Frequency
each of 22 footballers.
0
4
A bar chart showing this information has
1
5
been started below.
2
8
3
5
8
7
6
a) Fill in the label for the
horizontal axis.
Frequency
COOL -
b) Draw the remaining bars.
2
1
c) Give the bar chart a title.
0
0
3
1
2
Numberof goals
An appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."
What is a bar graph?A bar chart is also known as bar graph and it can be defined as a type of chart that is used for the graphical representation of data (information), especially by using rectangular bars or vertical columns.
The appropriate label for the horizontal axis of this bar chart is "Number of goals" and its title should be "The number of goals scored by a team."
Read more on bar chart here: https://brainly.com/question/24741444
#SPJ1
Is a+b+0=0+a+b commutative property of addition?
Was I right in this question for trigonometry?
Answer:
First two parts are right, last part is 8.2
Step-by-step explanation:
First two parts are right.
Last part is wrong.
Sin(ANGLE)=opp/hyp
sin(20)=W/24
0.34202014332=W/24
W=8.20848343982 or 8.2
I have to show my work using the LCM strategy or fraction models.
Answer:
1/2 or 0.5 in decimal
Step-by-step explanation:
you would want to make the 3/10 eqale to 20/100 like it has to have the same denominatior which is 10x10 and 3x10. because 10x10 eqal to 100, and what you do to the bottom you have to do the same on the top. and then you add which becomes 30/100+20/100=50/100 and 50/100 =1/2 if you simplfiy.
Dewayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 hour
Answer:
6/8 of a chapter
Step-by-step explanation:
3/8 = 1/2 of an hour
1/2 + 1/2 = 1
Basic Fact ^^
So, we need to add 3/8 + 3/8 or 3/8 x 2
We get : 6/8
He didn't read a whole chapter but he did read 6/8 of a chapter.
Answer:
Step-by-step explanation:
There are 60 min in an hour - 1/5 of an hour=20mim
3/8 x 5 = 15/8 = 1 & 7/8 chapters
2m+(m-15)=90 solve for m
Answer:
m = 35
Step-by-step explanation:
2m + m -15 = 90
3m -15 = 90
+15 +15
3m = 105
/3 /3
m = 35
To check the work just insert 35 for m:
2(35) + 35 -15 = 90
70 + 35 -15 = 90
105 - 15 = 90
90 = 90
In which Quadrant does the point (21 , 15) Lie?
It lies in first quadrant as it is in the form (+,+).
10.(06.01 LC)
The following set of coordinates represents which figure?
(3,-5), (5,-2), (10,-4), (8, -7) (6 points)
Rectangle
O Rhombus
O Parallelogram
O Square
Answer:
It's a Rhombus
Step-by-step explanation:
2. A graphic designer is creating an advertisement for a tablet. She needs to enlarge the picture so that 2
Inches on the scale drawing will correspond to 5 Inches on the actual advertisement. If the dimensions
of the scale drawing are 3 Inches by 4 inches, what will be the length and width of the tablet on the
actual advertisement
PLEASE HELP ASAP!
Answer:
lol the answer is 49
Step-by-step explanation:
hope this helps <3
A typical Yorkshire terrier weighs 1/6 times as many pounds as a Dalmatian. A Dalmatian weighs 54 pounds. How much does the typical Yorkshire terrier weigh?
Answer:
9 pounds
Step-by-step explanation:
1/6 is 16.67%
So 16.67% of 54 is 9
The Yorkshire terrier weighed 9 pounds.
Jana scored 45 in her 50 item math test. what is the ratio of her correct to her incorrect answers
Answer:
9 : 1
Step-by-step explanation:
Let the correct answers be denoted by C.
Let the incorrect answers be denoted by I.
Given the following data;
Correct answers = 45 answers
Incorrect answers = 50 - 45 = 5 answers
Ratio of correct to incorrect answers;
C : I = 45 : 5
Dividing by 5, we have;
C : I = 9 : 1
Joseph buys 3/4lb of cheddar, 3/5lb of provolone, and 7/9lb of Gouda. Which type of cheese did he buy in the greatest amount
6.1 - 5.4 - ( 7.7)
help
Answer:
-7
Step-by-step explanation:
i used a calculator
A line with -2 and y intercept of 4
Answer:
The equation of the straight line y = -2x +4
Step-by-step explanation:
Explanation:-
Given that the slope of the line m=-2
Given that y-intercept c=4
The equation of the straight line
slope -intercept form y =mx +c
The equation of the straight line y = -2x +4
Solve for x. −3/4(x+2)=6
Answer:
x= -10
Step-by-step explanation:
Answer:
x=-10
Step-by-step explanation:
Simplify (3x - 5) - (4x + 6).
-X + 11
x + 11
-X-11
x- 11
Answer: The given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
Given : Expression (3x − 5) − (4x + 6).
We have to simplify the given expression.
Consider the given expression (3x − 5) − (4x + 6).
Remove Parentheses ,
we have,
(3x − 5) − (4x + 6) = 3x - 5 - 4x -6
Combining like terms, we have,
LIKE TERMS are terms having same variable with same degree.
here 3x and -4x are like term and -5 and -6 are like terms,
Simplify, we have,
= 3x - 4x - 5 - 6
= -x - 11
Thus, the given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
hope this helps have a nice day❤️❤️❤️❤️
Answer: The given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
Given : Expression (3x − 5) − (4x + 6).
We have to simplify the given expression.
Consider the given expression (3x − 5) − (4x + 6).
Remove Parentheses ,
we have,
(3x − 5) − (4x + 6) = 3x - 5 - 4x -6
Combining like terms, we have,
LIKE TERMS are terms having same variable with same degree.
here 3x and -4x are like term and -5 and -6 are like terms,
Simplify, we have,
= 3x - 4x - 5 - 6
= -x - 11
Thus, the given expression (3x − 5) − (4x + 6) = -x - 11.
Step-by-step explanation:
hope this helps have a nice day and god bless u ❤️❤️❤️❤️
Select the correct answer. Which number has a repeating decimal form? A. B. C. D.
Answer:
0.1727
Step-by-step explanation:
this is the correct answer because g00gle is a thing
Item 20 Two groups leave on different flights from the same airport. Group A flies 130 miles due west, then turns 24° toward north and flies 45 miles. Group B flies 130 miles due north, then turns 32° toward east and flies 45 miles. Which group is farther from the airport?
Answer:
Group A
Step-by-step explanation:
Since in total they moved the same amount of miles then the one with the least turnback (angle in this case) would be farther
This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
A. 9%
B. 35%
C. 45%
D. 55%
Find sin D and sin E. Write each answer as a fraction and as a decimal. Round to four decimals places.
Answer/Step-by-step explanation:
✔️Sin D = opp/hyp
Opp = 12
Hyp = 15
Sin D = 12/15 = 4/5 (as fraction )
Sin D = 0.8 (as decimal)
✔️Sin E = opp/hyp
Opp = 9
Hyp = 15
Sin E = 9/15 = 3/5 (as fraction)
Sin E = 0.6 (as decimal)
Can you help me on question 13?!
Answer: 45 pages per day.
180 divided by 4
Step-by-step explanation:
Solve for x and y: (x + yi) -(2-1) = 12 +7i
Answer:
These are the answers.
Step-by-step explanation:
A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?
Answer:
15
Step-by-step explanation:
50 times 30 over 100 you will get 15
Parallel lines j and k are cut by a transversal l. What is mT in the diagram below?
A. 30°
B. 60°
C. 110°
D. 120°
Answer:
A. 30°
Step-by-step explanation:
Answer:
30 degrees
Step-by-step explanation:
