The slope and the y-intercept of a line are -3/8 and 1/2 respectively. Write the equation of the line.
Using the Distance Formula
For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)
Answer:
Step-by-step explanation:
since I did 1 already , i'll do 2 - 6 .. fast
using the formula for distance = sq rt [ (x2 - x1 ) ^2 + (y2 - y1 ) ^2 ]
2) sq rt [ (6-1)^2 + (14-2)^2
sq rt [ 25 + 144]
sq rt [ 169]
13
3) sq rt [ (15 - 8)^2 + (35-11)^2 ]
sq rt [ 49 + 576 ]
sq rt [625]
25
4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]
sq rt [ 64 + 225]
sq rt [ 289]
17
5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]
sq rt[ (-1+2)^2 + (-4+3)^2]
sq rt [ 1 + 1 ]
[tex]\sqrt{2}[/tex]
6) sq rt [ 3-(-3)^2 + (5-5)^2]
sq rt [ (3+3)^2 + 0]
sq rt [ 9 ]
3
:) phew.... :P
I’ll give you 30 points for this .
The Lockheed Martin X-35 was a concept demonstrator aircraft (CDA) developed by Lockheed Martin for the Joint Strike Fighter program. The X-35 was declared winner over the competing Boeing X-32 and a developed, armed version went on to enter production in the early 21st century as the F-35 Lightning II.
Which equation can be used to represent the data in this table?
y=x−2
y = x + 2
y=12x
y = 2x please answer NOW IF YOU ARE IN K12 PLEASE HELP ME AND IF YOU NOW THE ANSWER I PROMISE I WILL GIVE BRANLIEST BUT PLEASE THIS ID FOR PEOPLE IN K12 OR IT DOESNT MATTER AT ALL IF YOU ARENT K12 AND YOU NOW THE ANSWER
ant Answer:
y=2x
Step-by-step explanation:
y=2x because you go up 2 and 1 to the right meaning, 2 x and 1 y
Select the correct answer.
On average, Adrian's salary is 1.05 times the previous year's salary.
If Adrian Initially has $52,000 and n denotes the number of years, which recursive equation gives Adrian's annual income, f(n), as a function
the year?
O A. f(1) = 52,000
f(n) = 1.05 · (n − 1), for n > 2
OB. f(1) = 52,000
= 1.05 + f(n - 1), for n > 2
OC (1)
= 1.05
f(n) = 52,000 . f(n − 1), for n > 2
OD.
f(1) = 1.05
f(x) = 52,000 + f(n - 1), for n > 2
Answer: Answer A on Edmentum
Step-by-step explanation:
The correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2
What is Percentage?Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
On average, his salary is 1.2 times the previous year's salary:
f(n)=1.2 X f(n-1)
30% of his income is budgeted for rent:
Rent: R = 30%f(n-1)
= 30 X f(n-1)/100
R = 0.30 X f(n-1)
In addition to his salary, Adrian's income increases by $2,300 each year as a result of gifts from family members:
Gifts: G=2,300
If Adrian initially has $52,000:
n=1, f(n)=f(1)=52,000
If n denotes the number of years, which recursive equation gives Adrian's annual income as a function of the year, f(n)?
f(1)=52,000
f(n)=1.2 X f(n-1)-R+G; for n ≥ 2
f(n)=1.2 X f(n-1)-0.30*f(n-1)+2,300; for n ≥ 2
Thus, the correct option is First option i.e. f(1) = 52,000; f(n) = 1.2 · f(n - 1) - 0.30 · f(n - 1) + 2,300; for n ≥ 2
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The half life of a radioactive kind of cadmium is 14 years. How much will be left after 28 years, if you start with 72 grams of it?
Answer:
18 grams
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
28 divided by 14 equals 2
72 multiplied by 0.05^2 equals 18
Whats up ReaperGodofDeath which one Black butler or Black clover
Answer: ??????????????
Step-by-step explanation:
Answer:
BLACK BUTLER cause we Reapers gotta stick together
Step-by-step explanation:
Select all the statements that are true about rhombus MNPQ.
Answer:
your answer will be option A and B
Step-by-step explanation:
hope it helps u
have a wonderful day/night
What is the only difference when solving inequalities?
Answer:
If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Step-by-step explanation:
Answer:
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Which number is divisible by 2, 3, and 5?
A. 2025
B 3100
C945
Db1230
Answer:
D: 1230
Step-by-step explanation:
1,230 is divisible by 2, 3 and 5
will mark brainiest pls just lmk
Answer:
If asking for the distance, the answer would be C.
This graph represents a linear function.
Select the equation represented by the graph.
A) y=x−2/3
B) y=−2/3x+1
C) y=−3/2x+1
D) y=x−3/2
Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and A F = 5 units.
What is the perimeter?
Answer:
32
Step-by-step explanation:
Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
To understand how to derive the perimeter of [tex]\triangle AEC[/tex], recall the following related to centroid of a triangle in reference to the image in the attachment below:
Medians of a triangle (i.e. AE, CD, and FB) connects the vertices (i.e. A, B & C) of a triangle to the midpoints (i.e. F, D, & E) of the opposite sides of the triangle.Centroid (i.e. O) is a point of concurrency of the triangle.By implication, all sides the triangle (i.e. AC, AB, & BC) are divided into two equal segments (i.e. FA= CF, AD = BD, & CE = BE)
Also, note that:
Isosceles triangle have two equal sides (in triangle AEC given, EA = EC)We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles [tex]\triangle AEC[/tex]:
Thus:
G = centroid (given)
AB = 6 units (given)
FA = 5 units (given)
EA = EC (equal sides of isosceles triangle)
Therefore:EF = FA = 5 units
EA = EF + FA
SubstituteEA = 5 + 5
EA = 10 units
EC = EA (equal sides of isosceles)
EC = 10 units
AB = CB = 6 units
AC = AB + CB
SubstituteAC = 6 + 6
AC = 12 units
Perimeter of triangle AEC = AC + EA + EC
SubstitutePerimeter of triangle AEC = 12 + 10 + 10 = 32 units
Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
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3. The scatter plot shows the number of hits and home runs for 20 baseball players who had at least 10 hits last season. The table shows the values for 15 of those players. The model, represented by y = 0.1x – 1.5, is graphed with a scatter plot.
hits
home runs
predicted home runs
12
2
0.3
22
1
1.8
154
26
21.6
145
11
20.3
110
16
15
57
3
7.1
149
17
20.9
29
2
2.9
13
1
0.5
18
1
1.2
86
15
11.4
163
31
23
115
13
15.8
57
16
7.1
96
10
12.9
Use the graph and the table to answer the questions.
a. Player B was the player who most outperformed the prediction. How many hits did Player B have last season?
Answer: 12
Step-by-step explanation:
What is the unit rate for the Japanese bullet train?
558 x 3 = 1674 miles per hour
558 / 3 = 186 miles per hour
PLEEEEEEEEAAAAAAASSSSSEEEEEE HEEEEEEELP
Answer:
186 Miles per hour.
Step-by-step explanation:
558/3
WILL GIVE BRAINLIEST!! The data set {2,5,q,10,13,16} has mean x¯=9
Find the value of q
Answer:
#3. 8Step-by-step explanation:
Frequency of data
6Sum of data:
2 + 5 + q + 10 + 13 + 16 = 46 + qSum of data as per mean and frequencies:
9*6 = 54Compare the sums:
46 + q = 54q = 54 - 46q = 8Correct choice is #3. 8
Solve for x and round to the nearest tenth
Answer:
x = 6.0
Step-by-step explanation:
Given:
Line AB is the hypotenuse
50.1 degrees is an angle
90 degrees is a right angle
Line CB is x and is opposite to the 50.1 degree angle
Line AC is 5 and is adjacent to the 50.1 degree angle
We know we have angles of 50.1 degrees and 90 degrees
We could find the third angle by doing 180 = 50.1 + 90 + a; a = 39.9 degrees
Sin(angle) = Opp/Hyp, Cosine(angle) = Adj/Hyp, Tan(angle) = Opp/Adj
We know the adjacent length, degree of angle, and are looking for the opposite side; therefore, we can use tan(angle) = opp/adj
tan(50.1) = x/5
x = 5.9979
or
tan(angle) = opp/adj
tan(39.9) = 5/x
x = 5.9979
Round to the nearest tenth:
x = 6.0
in a circular garden the distance from the center of the circle to the edge is 15ft . If a gardner wants to plant roses in a 60 degrees sector of the circle , what is the area of the rose garden
Answer:
Approximately 117.81 ft²
Step-by-step explanation:
Find the area of the whole circle
A=πr²
A=π(15)²
A=706.86 ft²
Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).
360/60=6
Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.
706.86/6= 117.81 ft²
Mary had $70 to spend on 6 books. After buying them she had $16 left. How much did each book cost? Write an equation and show your work.
Answer:
9
Step-by-step explanation:
(70-16)/6=9
/ = division
Find the deference between
simple etablerst and compoun
interest on 24000 at 10% for
2 years.
Answer:
$5520
Step-by-step explanation:
Given data
Principal= $24000
Rate=10%
time= 2 years
Firstly, the compound interest is given as
A=P(1+r)^t
A=24000(1+0.1)^2
A=24000(1.1)^2
A=24000*1.21
A=$29040
The simple interest is given as
A=P(1+rt)
A=24000(1+0.1*2)
A=24000(1.2)^2
A=24000*1.44
A=$34560
Hence the difference is
=34560-29040
=$5520
Please PLEASE help me!!!
Find AC
Answer:
AC=AB+BC
x=1+9/3
x =4
Ac = 3(4)+1 + 9
Ac = 12+1+9
Ac= 22
Your friend is looking at laptops for college, and is comparing the different
screen sizes. Use the diagram and formula below to find the height of the
laptop screen. Round your answer to the tenths place.
d = √w²+
d= 13.3in
h
w = 11.3
A. h = 7.0 inches
B. h = 12.9 inches
C. h = 10.7 inches
D. h = 9.9 inches
Given:
[tex]d = 13.3\ in[/tex]
[tex]w = 11.3\ in[/tex]
[tex]d=\sqrt{w^2+h^2}[/tex]
To find:
The value of h.
Solution:
We have,
[tex]d=\sqrt{w^2+h^2}[/tex]
Substituting [tex]d = 13.3, w = 11.3[/tex], we get
[tex]13.3=\sqrt{11.3^2+h^2}[/tex]
Taking square on both sides.
[tex]176.89=127.69+h^2[/tex]
[tex]176.89-127.69=h^2[/tex]
[tex]49.2=h^2[/tex]
Taking square root on both sides, we get
[tex]\pm 7.01427=h[/tex]
[tex]h\approx \pm 7[/tex]
Height cannot be negative so [tex]h=7\ in[/tex].
Therefore, the correct option is A.
Any help please maths :)
Answer:
D is the cubic function graph
Find the area of this figure
Area of triangle
a = 6 ft + 2 ft + 2ft = 10 ft
h = 12 ft
½ * 10 ft * 12 ft = 60 sq ft
Area of square :
a = 6 ft
6 ft * 6 ft = 36 sq ft
Area of this figure :
60 + 36 = 96 sq ft
Answer:
156 ft
Step-by-step explanation: (This does not seem to be in scale)
1. Split into one triangle and one square
2. Find triangle area
12 * 10 = 120 ft
3. Find square area
6 * 6 = 36 ft
4. Area = Atriangle + Asquare
120 + 36 = 156 ft
In an animal sanctuary, there are 48 deer and 64 monkeys. Find the ratio of deer to monkeys.
If the length of a rectangle is decreased by 6 cm and the width is increased by 3 cm, the result will be a square, the area of which will be 27 cm^2 smaller than the area of the rectangle. Find the area of the rectangle.
Answer:
252 centimeters squared is the answer.
The area of the rectangle is 252 cm².
What is a rectangle?A rectangle is a plane shape that has pair of opposite sides and angles equal
To calculate the area of a rectangle, we use the formula below.
Formula:
Area of a rectangle(A) = Length(L)×Width(W).............. Equation 1
⇒ Let the length of the rectangle be x and the width of the rectangle be y.
If the length is decreased by 6 cm
new length = (x-6) cmAnd if the width is increased by 3 cm
new width = (y+3) cmSince the new length and the new width form a square,
Note: In a square, all sides are equal
(x-6) = (y+3)x = y+9...................... Equation 2Also, The area of the new square formed is smaller than the area of the rectangle by 27 cm²
xy = (y+3)²+27............ Equation 3Substitute these values of x in equation 2 into equation 3
(y+9)(y) = (y+3)²+27y²+9y = y²+6y+9+27y²+9y = y²+6y+36Collect like terms
y²-y²+9y-6y = 363y = 36y = 36/3y = 12 cm.Substitute the value of y into equation 1 to get x
x = 12+9x = 21 cm.Area of a rectangle = Length×width = 12×21 = 252 cm²Hence, The area of the rectangle is 252 cm².
Learn more about rectangles here: https://brainly.com/question/24571594
A 15 ft tree casts a 9 foot shadow on the ground. What is the angle of elevation formed by the tree’s shadow and the sun? (Round to the nearest hundredth)
Answer:
59.04
Step-by-step explanation:
If you were to make a right triangle, 15 would be the altitude (height), and 9 would be the base. You need the angle of elevation which is going the angle of the hypotenuse going upwards. (Bottom Left/Right Corner.) From that angle you need to solve for arctan (Used for solving the measure of angle.) Simply plug into your calculator arctan(15/9) to get the answer.
HEY JUST LETTING EVERYONE KNOW DO NOT CLICK ON LINKS THEY ARE NOT AN ANSWER TO YOUR QUESTION STAY SAFE
Answer:thanks :)
Step-by-step explanation:
Answer:
Thx or the notice and free points
THIS IS TRUE NOT FAKE
WARNING!!!
Step-by-step explanation:
M=7 n=-2 p=4 i really don’t knwo
Answer:
-70
Step-by-step explanation:
m = 7
n = -2
p = 4
[tex]\frac{10mn}{3p-10} \\\\\frac{10(7)(-2)}{3(4)-10} \\\\\frac{70(-2)}{12-10} \\\\\frac{-140}{2} \\\\-70[/tex]
Answer:
-70
Step-by-step explanation:
First we have to substitute the variables for numbers:
10(7)(-2) / 3(4) - 10
Simplify:
-140 / 12 - 10
Now we solve it:
-140 / 2 = -70
Hope this helps :)
please help. 5 points!