Given:
Two points are A(6,1) and B(9,4).
To find:
The equation of the line that passes through the given points.
Solution:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:
[tex]y-1=\dfrac{4-1}{9-6}(x-6)[/tex]
[tex]y-1=\dfrac{3}{3}(x-6)[/tex]
[tex]y-1=1(x-6)[/tex]
[tex]y-1=x-6[/tex]
Adding 1 on both sides, we get
[tex]y-1+1=x-6+1[/tex]
[tex]y=x-5[/tex]
Therefore, the equation of the line is [tex]y=x-5[/tex].
Which of the following is true about a linear function? (4 points) Select one: a. It may curve in some parts and be horizontal in others. b. It must cross the origin. c. It has a constant rate of change. d. It must contain only positive values.
Option c: It has a constant rate of change.
Someone tell me the answers for this question please
Answer:
a=2
b=10.5
c=4
d=17.5
Step-by-step explanation:
so 3.5 miles per hour and the columns are miles and then hours
so an equation can be 3.5 (mi/hr) * t (time) = distance
so for a): 3.5*t=7
t=2
b) 3.5*3=distance
distance is 10.5
c) 3.5*t=14
t=4
d) 3.5*5=d
d= 17.5
a tablet is on sale for 30% off. the regular price is $185. how much money will you save?
Answer:
185×30÷100=55.5
HERES YOUR answer
GRAM is a parallelogram with diagonals RM and GA. If RP = x+7 , PA = 2x+18 , and GP = 8x , find RM
Answer:
RM =20
Step-by-step explanation:
Find the diagram of the parallelogram attached
From the diagram, GP = PA
8x = 2x+18
8x - 2x = 18
6x = 18
x = 18/6
x = 3
Since RM = 2RP
RM = 2(x+7)
RM = 2(3+7)
RM = 2(10)
RM =20
Hence the length of RM is 20
A bank gives a woman personal loan of 120,000. she has to pay back 11,000 every month for a year. find the amount paid back to the bank as interest. pls h help
Multiply the amount she pays a month by number of months in a year:
11,000 x 12 = 132,000
Subtract the total amount she pays back by the loan amount:
132,000 - 120,000 = 12,000
The interest was $12,000
2. Solve for x and y, Show your work
Answer:
use similarity to solve this
so the shape of side x is similar to side
x/6=10/8
8x=10 multiply by 6
8x=60
divide 60 by 8 to get 7.5
so x=7=5
using Pythagorean theorem
side RP=RS squared + SP squared
side RS=7=5
7.5squared =56.25
4.0+8.0=12
12squared=144
56.25+144=200.25
square root of 200.25=14.15
14.15=y+10
y=14.15-10
y=4.15
URGENT
Suppose that a coin has been altered to come up heads 70% of the time. If
many samples of 60 coin flips are taken, which of the following is the number
of heads that would likely come up most frequently in a sample?
A. 54
B. 42
C. 36
D. 48
In a class, there are 87 students
in the class, and 38 are boys. What is
the probability that a girl is selected
randomly to represent the class in a
debate?
Answer:
49/87 = .56 = 56%
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Reflect A(-2,4), B(3,-5), C(2, 1) over the x-axis.
Answer:
When you reflect over the x axis, you change all the y values to their opposites (switch the sign)
Step-by-step explanation:
PLEASE HELP ASAP - ILL GIVE BRAINLEST
ITS 2 PAGES BUT 4 QUESTIONS
30 points
Answer:
Step-by-step explanation:
please help me with this!!!!!
Answer:
C. ΔJKL, in which m∠J = 15° and m∠L = 45°
Step-by-step explanation:
To solve, let's find the missing angle of the triangle:
180 - 120 - 15 = 45°
That means a solution should have at least 2 solutions from the solution set (15 , 45, 120)
C, is the correct choice.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
"C"
Step-by-step explanation:
Similar triangles have all the same corresponding angles, and the total must add to 180 degrees. So the original triangle has angle 1 = 15, 2 = 120, so 3 = 180 - (15 + 120) = 45.
Option C has the same angles.
Which of the sequences is an arithmetic sequence?
O A. 1, 8, 16, 24, 32, ...
B. -3, -10,-17, -24, -31, ...
C. 3, 6, 9, 15, 24,...
O D. 1,-2, 3, -4, 5, ...
Answer:
Answer B as the difference between the values is the same
Vance used the associative property to find the equivalent expression of (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9. His work is shown below.
(4.5 m + StartFraction 7 Over 8 EndFraction) minus 9
Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.
Answer:
C
Step-by-step explanation:
Answer:
C: Yes, the terms can be regrouped and still be equivalent.
Step-by-step explanation:
Most terms can be regrouped and still be equivalent.
Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answer:
she needs 200 more$
Step-by-step explanation:
A parabola can be represented by the equation x2 = –20y.
What are the coordinates of the focus of the parabola?
(–5,0)
(5,0)
(0,5)
(0,–5)
Answer:
[tex] {x}^{2} = - 20y \\ y = - \frac{1}{20} {x}^{2} \\ { \tt{y = 4a {x}^{2} }} \\ a = - \frac{1}{5} \\ \\ { \tt{focus = (0, \: - 5)}}[/tex]
The requried coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
The standard form of the equation of a parabola is (y - k) = (1 / 4p)(x - h)², where (h, k) is the vertex and p is the distance from the vertex to the focus. We can convert the given equation x² = -20y into this standard form by completing the square:
x² = -20y
x² / (-20) = y
x² / (-20) + 0 = y + 0
(x - 0)² = -20(y - 0)
Comparing this equation to the standard form, we can see that the vertex is at (h, k) = (0, 0), and that 4p = -20, so p = -5/2.
Since the focus is a distance of p below the vertex, the focus is at (h, k - p) = (0, -5/2), which is the same as (0, -2.5).
Therefore, the coordinates of the focus of the parabola x² = -20y are (0, -2.5), which corresponds to the option (0, -5).
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PLEASE HELP ME!
Diagram shows the distance time graph that represent Dendrick's journey Kl to vawang and David s journey from rawang to Kl. Both of them depart from the place at the same time
a) Calculate the length of time in minutes, David stop his car
b) If their journey starts at 9 am, what is the time david and dendrick
c) Calculate the speed in km h¯¹, of Dendrick when he meets David
Answer:
1) 45 minutes
2) they meet in 20 minutes
3) (12-6)/(20/60)=18kmh
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4."
Answer:
Step-by-step explanation:
if f(x)=x2+x and g(x)=x-3, find f(g(7))
f(g(7)) = 20
Hope it helps you...
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
the male weigh than the female
Step-by-step explanation:
[tex]\frac{19}{6}[/tex]=[tex]3\frac{1}{6}[/tex]
a and b share the cost in a ratio of 3:2 a pays £125 how much would b pay
Answer:
[tex]{ \bf{total \: ratio = 3 + 2 = 5}} \\ \\ = { \tt{ \frac{2}{5} \times 125}} \\ = £50[/tex]
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)
Answer:
Y = 2/3x-8/3
Step-by-step explanation:
y − 4 = 2/3 ( x − 3)
y − 4 = 2/3x -2
y = 2/3x +2
~~~~~~~~~~~~~~~~~
-2 = 2/3(1) + b
b = -2 2/3 = -8/3
please help giving brainly and points :)
Answer:
(-7, 8) across the x-axis: (-7, -8)
(-7, 8) across the y-axis: (7, 8)
Step-by-step explanation:
Which calculation shows the best method for estimating the result of 384 divided by three-sixteenths?
Answer:
the answer to this is 2048
Step-by-step explanation:
Answer: B
Step-by-step explanation: Just round
Question 1: Which of these animals can travel at the greatest distance from sea level
Question 2: order the elevations of the animals from least to greatest
Answer:
Q1 : Ruppell's Giffrons
Q2 :
sperm whales
dolphins
missing birds
Ruppell's Giffrons
Step-by-step explanation:
I don't know if I can see the full picture, as it is clearly cut off.
my answers are based on what I can see :
Giffrons, migrating birds, dolphin and sperm whale.
here are the reasons for my 2 answers :
sea level = elevation of 0 ft. so, this is "point" 0.
Q1 now asks about what of the listed animals can move the farthest away from 0.
and distance is always positive. now matter the direction we are going. if we go from 0 to +5, the distance is 5. and if we go from 0 to -5, the distance is also 5.
so, we are looking for the animal with the largest absolute value of elevation it can reach.
and that are the Ruppell's Giffrons with 37000 ft. 37000 is much farther away from 0 than e.g -3000. and so on.
Q2 wants us to sort the animals based on their reachable elevations.
by the way, the correct words would be "lowest to highest". as this is how elevation works on scales.
and remember, negative values get actually larger in their absolute values, when we make them smaller.
-2 is smaller than -1.
therefore, the animal that can get the lowest of all here is the sperm whale.
then comes the dolphin.
then the migration birds.
and then the Ruppell's Giffrons.
The Brown Spider Monkey can travel at the greatest distance from sea level compared to the other mentioned animals. The order of elevations from least to greatest would be Blue Whale, Mountain Lion, Mountain Goat, and Brown Spider Monkey.
The animal that can travel at the greatest distance from sea level is the Brown Spider Monkey. It is found in the tropical rainforests of South America and can live at elevations of up to 9,000 feet (2,700 meters) above sea level. The other animals mentioned, Mountain Goat, Blue Whale, and Mountain Lion, are all restricted to lower elevations.
In terms of elevations from least to greatest, the order would be:
Blue Whale - Lives in the ocean at sea level
Mountain Lion - Found in various habitats including mountains and plains
Mountain Goat - Lives in mountainous regions
Brown Spider Monkey - Found in the tropical rainforests at high elevations
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what is the 1QR 14,11,8,1,23,20,17,5,19,10,12,22
Answer:
Step 1: Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Step-by-step explanation:
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
the annual premium for a Whole Life insurance police is $2,881.61. Option A.
How do we calculate the annual premium for a Whole Life insurance police?For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.
The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.
Annual premium = $162,253/ 1000 x 17.76
= $2,881.61
The above exercises is from the question provided in the picture;
You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.
Permanent Insurance
Age Whole Life 20-Payment Life 20-Year Endowment
M F M F M F
25 $16.38 $14.38 $28.40 $25.04 $37.02 $34.87
26 $16.91 $14.77 29.11 25.96 37.67 35.30
27 $17.27 15.23 29.97 26.83 38.23 35.96
28 17.76 15.66 30.68 27.54 38.96 36.44
a. $2,881.61
c. $6,321.38
b. $4,977.92
d. $6,438.20
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PLZZZZ I really need help!
Which function rule represents the best line of fit for the data in the plot?
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function rule that represents the best line of fit for the data in the plot is option C.
A) f(x)= x+8
Since the line has a positive slope this can not be the appropriate option.
B.) f(x) = -2x+14
Since the y-intercept of the equation is above all the data points, it would not be the best fit for the data in the plot.
D.) f(x) = 10
Since this is a straight horizontal line at y=1. This is not the appropriate option.
Hence, the correct option is C.
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It's a quartile question.
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
Al realizar el producto: (x – 3) (x + 6) se obtiene:
Seleccione una:
a. x 2 – 3 x – 18
b. x 2 – 18
c. x 2 + 3 x – 18
d. x 2 – 3 x + 18
[tex]\longrightarrow{\green{c. \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Write the equation of a line with the following slope and y-
intercept.
Slope= -3, y-intercept = 2
Y= -3x+2
Y= 2x-3
Y= -3x-2
Answer:
[tex]Y= -3x+2[/tex]
Step-by-step explanation:
Slope : [tex] - 3[/tex]
y-intercept = 2
Hope it is helpful...