Answer:
y=4x/3+17
Step-by-step explanation:
4/3=y-5/x+9
y=4x/3+17
The equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line that passes through the point (-9,5) and has a slope of
4/3.
The point slope form is given by -
(y - y₁) = m(x - x₁)
Now, we can write the equation as -
(y - 5) = (4/3)(x + 9)
Therefore, the equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
Pleaseeee help #10 Which table below describes a linear function?
7 points
y
o
o
o
O
A
1
1
1
2
4
16
4
8
9
81
9
18
у
y
0
0
0
B
1
3
D
1
2
W
4
9
4
4
9
20
9
Ο Α
OB
Ос
Oo
Answer:a
Step-by-step explanation:
what is the sign of -8+8
it is 0
there is no sign to -8 + 8
Answer:
Your answer would be 0
Step-by-step explanation:
if you were asking a question like, 8+8 your answer would be, 16. Correct me if I'm wrong. ☆
A horizontal line passing through the point (-15,12)
Answer:
this is your answer........
There is a photo. No explanation needed just answer thank you
The same data are graphed in each histogram, but with different intervals. Which histogram has the best interval to draw conclusions on the height of the shortest player? A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 4 players have a height of 60 to 69 inches and 12 players have a height of 70 to 79 inches. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 2 players have a height of 60 to 64, 2 have a height of 65 to 69, 7 have a height of 70 to 74, 5 have a height of 75 to 79. A bar graph titled Height of players has height in inches on the x-axis and players on the y-axis. 1 player has a height of 60 to 63, 2 have a height of 64 to 67, 3 have a height of 68 to 71, 7 have a height of 72 to 75, and 3 have a height of 76 to 79.
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
ФФФФ↓↓∴Ф⊄⊄∠㏒㏑↑↑↑↑⇒⇒⇒⇒Δ≅√√βΔФ∉∴∨↓∈ЛБХаЩЪ
Jasiah wants to buy a bicycle that costs $330. He has saved $50 so far and will save $40 each week until he has enough money to buy the bicycle
Answer:
$280
Step-by-step explanation:
There are 2 ways to do the question.
Method 1: $330-$50=$280
Method 2: 7 days equals to one week=$40.
$40×7=$280
Hope these helps you!
Answer this question to get marked as brainliest!!!!
Answer:
7
Step-by-step explanation:
The order of numbers is not important in ____________ of rational numbers.
Answer:
addition?
Step-by-step explanation:
I’m really confused on how to write the range of inequality because it’s been a while. Can someone please help??
Answer:
y ≤ 0
Step-by-step explanation:
The arrow says that the function keep going down
the biggest y is 0
so we can write
y ≤ 0
5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?
Answer:
The coordinate of the midpoint of AB is (1.5, 3).
Step-by-step explanation:
The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).
Can someone help me out my grads are bad
Answer:
5/10 + 1/10 = 6/10 or if you simplify it 3/5
Step-by-step explanation:
1/2 = 5/10
1/10 = 1/10
5/10 + 1/10 = 6/10
6/10 = 3/5
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
1/2 + 1/10 = 5/10+ 1/10 = 3/5
Step-by-step explanation:
Find the LCD of 2 and 10 (10)
Add the two together (6/10)
Reduce (3/5)
Have a good day :)
Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
answer to the nearest tenth if necessary.
43
8
H Η
G
K
J
31
F
Answer:
[tex]5.8[/tex]
Step-by-step explanation:
Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:
[tex]\frac{31}{43}=\frac{\text{KI}}{8}[/tex]
Solving, we get:
[tex]\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}[/tex]
If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *
9 meters cost P600
Step-by-step explanation:
3×3 = 9
p200×3 =P600
How can I solve for x?
Answer:
37 degrees
Step-by-step explanation:
The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees
Maya invests $3,500 into an ETF which earns 7% per year. In
30 years, how much will Maya's investment be worth if
interest is compounded semiannually (twice a year)? Round to
the nearest dollar.
HELP DUE IN 10 MINS!
Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.
A. (3,5)
B. (5,5)
C. (3,3)
D. (1,5)
E. (-1,5)
F. (3,7)
Answer:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.
Out of all options given, the desired answers are:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
solve 3x by 4 - 2x+5 by 3 = 5 by 2
Answer:
50
Step-by-step explanation:
The given equation is,
→ 3x/4 - (2x + 5)/3 = 5/2
→ 3x × 3 - 4(2x +5)/12 = 5/2
→ 9x - 8x -20/12 = 5/2
→ (x - 20)/12 = 5/2
→ x - 20 / 6 = 5
→ x - 20 = 30
→ x = 20 + 30
→ x = 50
• Hence the value of x is 50 .Answer:
x=50
Step-by-step explanation:
help please help help help
Answer:
area = 32
perimeter = 30
Step-by-step explanation:
Formulas:
Area of a parallelogram: A = bh
Perimeter of a parallelogram: P = 2 ( b + s )
Where h = height s = slant height and b = base length
Define:
b = 8
h = 4
s = 7
Plug in given values into formulas and calculate
A = (8)(4)
8 * 4 = 32
A = 32
P = 2 ( 8 + 7 )
8 + 7 = 15
2(15) = 30
P = 30
A ship is 7 ft from the dock. One sailor who is standing at the front of the boat 10 ft above dock level tosses rope to another sailor who is standing on the dock to tie the boat to the dock. How is the angle of elevation for the sailor standing on the dock related to the angle of depression for the sailor standing at the front of the boat?
Answer:
ım not speak english because i'm turkish
The angle of the depression is equal to the angle of elevation for the same place.
The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
What is angle of elevation?The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
What is angle of depression?The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.
Given information-
The distance between the ship and dock is 7 ft.
The one sailor is standing 10 ft above the dock level.
The another sailor is standing on the dock.
The angle of depression and elevation is shown in the image.
Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,
[tex]\tan \theta=\dfrac{10}{7}[/tex]
Find the value of angle as,
[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]
Hence the angle of depression is 55 degree.
As the angle of the depression is equal to the angle of depression for the same place.
Thus the angle of elevation is 55 degrees.
Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
Learn more about the angle of depression here;
https://brainly.com/question/10217662
Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?
Answer:
785.5ft
Step-by-step explanation:
Given data
Diameter= 250ft
Radius= D/2= 250/2= 125ft
The total steel required can be found from the Circumference
C= 2πr
C= 2*3.142*125
C= 785.5ft
Hence the total steel required is 785.5ft
A bag contains 5 green marbles, 7 yellow marbles, 4 blue marbles, 6 pink marbles, and 3 purple marbles. If two marbles are chosen without replacement, find the probability of choosing a yellow marble, then another yellow marble. Give your answer as a fraction in simplest form.
Answer:
The probability of choosing a yellow marble then choosing another one without replacement is 1/30.
Step-by-step explanation:
First, get the total amount of marbles.
5 + 7 + 4 + 6 + 3 = 25 total marbles.
Now find the probability of finding a yellow marble.
P = 5 yellow marbles / 25 total marbles.
Now find the probability of finding a yellow marble after pulling one without replacement.
P = 4 yellow marbles / 24 total marbles.
To find the probability of both events happening, multiply the probabilities together.
(5/25) * (4/24)
Multiply the numerators and denominators.
20/600
Simplify.
1/30.
Find the value of x.
a) 80
b) 90
c) 45
d) 60
Answer:
b
Step-by-step explanation:
The tangent- tangent angle x is half the difference of its intercepted arcs.
Th sum of the arcs in a circle = 360°
major arc = 360° - 90° = 270° , then
x = [tex]\frac{1}{2}[/tex] (270 - 90)° = [tex]\frac{1}{2}[/tex] × 180° = 90° → b
There are 19 birds in a pond, all of which are ducks or geese. If the number of ducks in the pond is 1 more than twice the number of geese in the pond, how many geese are in the pond?
A. 6
B. 9
C. 10
D. 13
d I think d
Step-by-step explanation:
yayasjsjamaaak
need help on math please
The length of missing leg is √40 = 6..32
Answer:
This one should match according to the pythagoras theorem
Identity the slope and y intercept
Answer:
3,-2
Step-by-step explanation:
From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,
The line passes through (0,3) and (1.5,0) .Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.
Slope :-
→ m = 3 - 0 / 0 - 1.5
→ m = 3/-1.5
→ m = -2
• Hence the y Intercept is 3 and the slope is (-2) .Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?
Answer:
108$
Step-by-step explanation:
if dy/dx = ysec^2(x) and y= 5 when x = 0, then y=?
А. e^tanx +4
B. e^tanx +5
C. 5e^tanx
D. tanx + 5
E. tanx + 5e^x
Answer:
C. [tex]\displaystyle y = 5e^{tan(x)}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
FunctionsFunction Notation|Absolute Values|Anything to the 0th power is 1Algebra II
Logarithms and Natural logsEuler's number eCalculus
Derivatives
Derivative Notation
Trig Derivatives
Differential Equations
Separation of variablesGeneral and particular solutionsAntiderivatives - Integration
Integration Constant C
Trig Integration
Logarithmic Integration
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{dy}{dx} = ysec^2(x)[/tex]
x = 0, y = 5
Step 2: Rewrite Differential
Separation of variables
[Division Property of Equality] Isolate y terms together: [tex]\displaystyle \frac{1}{y}\frac{dy}{dx} = sec^2(x)[/tex][Multiplication Property of Equality] Isolate x terms together: [tex]\displaystyle \frac{1}{y}dy = sec^2(x)dx[/tex]Step 3: Find General Solution
[Equality Property] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {sec^2(x)} \, dx[/tex][1st Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|y| = \int {sec^2(x)} \, dx[/tex][2nd Integral] Integrate [Trig Integration]: [tex]\displaystyle ln|y| = tan(x) + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^{ln|y|} = e^{tan(x) + C}[/tex]Simplify: [tex]\displaystyle |y| = Ce^{tan(x)}[/tex]Rewrite: [tex]\displaystyle y = \pm Ce^{tan(x)}[/tex]Step 4: Find Particular Solution
Substitute in variables [Function]: [tex]\displaystyle |5| = Ce^{tan(0)}[/tex]Evaluate absolute value: [tex]\displaystyle 5 = Ce^{tan(0)}[/tex]Evaluate trig: [tex]\displaystyle 5 = Ce^0[/tex]Evaluate exponent: [tex]\displaystyle 5 = C(1)[/tex]Multiply: [tex]\displaystyle 5 = C[/tex]Rewrite: [tex]\displaystyle C =5[/tex]Substitute in C [General Solution]: [tex]\displaystyle y = 5e^{tan(x)}[/tex]∴ Our answer is C.
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differential Equations
Book: College Calculus 10e
Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !
Answer:
it's 823 problem solved
Please help!!! T^T
Sarah buys 2 gallons of milk. There are approximately 3.875 liters in a gallon. How many milliliters of milk did Sarah buy?
Hello, I hope this helps!
Answer:
3.875 * 2
= 7,570.82 ml
Sarah bought 7,570 ml of milk