Answers
Answer:
y= 2/3x +4
Step-by-step explanation:
choose 2 points to find slope
I chose points of intersection
(-6,0) (0,4)
m=y2-y1/x2-x1
[tex]m = \frac{4 - 0}{0 - ( - 6)} = \frac{2}{3} [/tex]
then use slope point form rule
y-y1=m(x-x1)
[tex]y - 4 = \frac{2}{3} (x - 0) \\ \\ y = \frac{2}{3} x + 4[/tex]
Answer:
y = [tex]\frac{2}{3}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line
m = [tex]\frac{4-0}{0-(-6)}[/tex] = [tex]\frac{4}{0+6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = [tex]\frac{2}{3}[/tex] x + 4 ← equation of line
Related Questions
Write the expression as either the sine, cosine, or tangent of a single angle. cos(pi/5) cos(pi/7)+sin(pi/5)sin (pi/7)
Answers
Answer:
cos(2π/35)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Sum/Difference Formula [cosine]: [tex]\displaystyle cos(x \pm y) = cos(x)cos(y) \mp sin(x)sin(y)[/tex]Step-by-step explanation:
Step 1: Define
Identify
cos(π/5)cos(π/7) + sin(π/5)sin(π/7)
Step 2: Simplify
Sum/Difference Formula [cosine]: cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)Subtract: cos(π/5 - π/7) = cos(2π/35)What is the area of ABC?
Answers
This value is approximate.
=========================================================
Work Shown:
area = 0.5*side1*side2*sin(included angle)
area = 0.5*AB*AC*sin(A)
area = 0.5*11*18*sin(55)
area = 81.0960523846101
area = 81.1 cm^2
The cm^2 refers to "square cm".
Notice that the angle must be between the two sides, hence the "included".
Find all solutions to the equation in the interval [0, 2pie]. Enter the solutions in increasing order. cos 2x = sin x
Answers
Answer:
cos2x=sinx
<=> 1-2sin^{2}x =sinx
solve and we have x=3pie/2, x=pie/6,x= 5pie/6
Step-by-step explanation:
Given two similar cylinders with a height ratio of 2:3 what is the ratio of their volumes?
Answers
Answer:
8 : 27
Step-by-step explanation:
The ratio of the volumes is the ratio of the scale factor cubed
2^3 : 3^3
8 : 27
Answer:
8 : 27
Step-by-step explanation:
Given 2 similar cylinders with height ratio = a : b , then
ratio of volumes = a³ : b³
Here height ratio = 2 : 3
ratio of volumes = 2³ : 3³ = 8 : 27
Solve for x. Round to the nearest tenth, if
necessary.
Answers
I hope this is help full to u
thank you
Answer:
x = 3.8
Step-by-step explanation:
take 53 degree as reference angle
using cos rule
cos 53 = adjacent/hypotenuse
0.60 = x /6.3
0.60*6.3 = x
3.78 = x
3.8 = x ( after converting the answer to nearest tenth)
What is the product?
(5r − 4)(r2 − 6r + 4)
5r3 − 34r2 + 44r − 16
5r3 − 4r2 + 14r − 16
5r3 − 6r − 16
5r3 + 10r − 16
Answers
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
The product of the expressions is 5r^3 - 34r^2 + 44r - 16
What is a product?The product of two expression is done by multiplying the expressions
The product expression is given as:
[tex](5r - 4)(r^2 - 6r + 4)[/tex]
Expand the expression
[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]
Collect like terms
[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]
Evaluate the like terms
[tex]5r^3 - 34r^2 + 44r - 16[/tex]
Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16
Read more about product at:
https://brainly.com/question/4344214
Choose the expression that represents a linear expression 6x+6. -6x^2+8x-9. 8x^3+9x^2-10x+11. 7x^4-8x^3+9x^2-10x+11
Answers
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
a linear expression is the form
[tex]y = mx + b[/tex]
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a ____________of the given expression.
Answers
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
=> Factor.
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.
[tex] \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}[/tex]
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a [tex]\boxed{\underline{\bf \: factor}}[/tex]of the given expression.
solve the missing side in the right triangle below
Answers
Answer: the root of 145 so b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
9^2 + 8^2 = c^2
81 + 64 = c^2
144 = c^2
[tex]\sqrt{144}[/tex] = c
Remember, C is always the hypotenuse, or the longest side. A and B can be either base.
A bicycle tire has a radius of 10 inches. To the nearest inch, how far does the tire travel when it makes 4 revolutions?
Answers
Answer: 251.2 inches.
Step-by-step explanation: You have to multiply 4*2*π*radius. So, simply multiply 4*2*3.14*10. It would come out as 251.2 inches.
Help me please
How many solutions does the equation
x -4 = 12 - 2x have? Explain.
- ? .
Answers
Answer: one solution.
Step-by-step explanation:
[tex]\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6[/tex]
This equation has one solution: x = 6.
(Find m∠IGH) m∠IGH=
Answers
Answer:
angle IGH = 50 degree
Step-by-step explanation:
triangle GHI is an isosceles triangle because it's two sides are equal.
if angle I is 50 degree then angle G is also 50 degree becasue in isosceles triangle the base angles are equal.
A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes.
Together they can fix 10 pairs of shoes in six hours. How long does it take the repairman to fix one pair
of shoes by himself?
Answers
Answer:
1/2 or 0.5 hours
Step-by-step explanation:
r = time for repairman to fix one pair of shoes.
a = time for assistant to fix one pair of shoes.
a = r×1.5
x×r + y×a = 6
x = number of pairs of shoes repaired by repairman.
y = number of pairs of shoes repaired by assistant.
x+y = 10
y = 10-x
x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)
y = 10 - y×1.5
y + y×1.5 = 10
2.5×y = 10
y = 4
=> x = 6
6×r + 4×r×1.5 = 6
6×r + 6×r = 6
12×r = 6
r = 6/12 = 1/2 or 0.5 hours
Determine whether the triangles are congruent. Explain your reasoning .
SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answers
Answer:
Ty
Step-by-step explanation:
please i have 15 minutes
Answers
Answer:
[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]
Step-by-step explanation:
[tex] 2^x = 7^{x + 1} [/tex]
Take the log of both sides.
[tex] \log 2^x = \log 7^{x + 1} [/tex]
Use properties of log.
[tex] x \log 2 = (x + 1) \log 7 [/tex]
[tex] x \log 2 = x \log 7 + \log 7 [/tex]
[tex] x \log 2 - x \log 7 = \log 7 [/tex]
[tex] x(\log 2 - \log 7) = \log 7 [/tex]
[tex] x = \dfrac{\log 7}{\log 2 - \log 7} [/tex]
[tex] x = \dfrac{\log 7}{-(\log 7 - \log 2)} [/tex]
[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]
The bus ride was 35 minutes long. If the ride ended at 12:05 a.m., what time did the ride begin?
Answers
Answer:
11:30 A.M.
Step-by-step explanation:
Answer:
11:30
Step-by-step explanation:
12.05- 35 min and its 11:30
hope that helps bby<3
Can someone help giving branliest to first correct answer
Answers
Issheishwsihwsuwh i dont know why 8 have to write 20 charcters
Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry
Answers
Answer:
(a) [tex]\frac{1}{7}[/tex]
(b) [tex]\frac{4}{7}[/tex]
(c) [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Probability (P) of an event is the likelihood that the event will occur. It is given by;
P = number of favourable outcomes ÷ total number of events in the sample space.
Given letters of cards:
A B C D E F G H J
∴ Total number of events in sample space is actually the number of cards which is 7
If a card is picked at random;
(a) the probability P(F), that it is labelled F is given by;
P(F) = number of favourable outcomes ÷ total number of events in the sample space.
The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.
∴ P(F) = 1 ÷ 7
=> P(F) = [tex]\frac{1}{7}[/tex]
(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;
P(N) = P(J) + P(A) + P(D) + P(E)
Where;
P(J) = Probability that it is labelled J
P(A) = Probability that it is labelled A
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(J) = [tex]\frac{1}{7}[/tex]
P(A) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(N) = [tex]\frac{4}{7}[/tex]
(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;
P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)
Where;
P(A) = Probability that it is labelled A
P(B) = Probability that it is labelled B
P(C) = Probability that it is labelled C
P(D) = Probability that it is labelled D
P(E) = Probability that it is labelled E
P(H) = Probability that it is labelled H
Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.
P(A) = [tex]\frac{1}{7}[/tex]
P(B) = [tex]\frac{1}{7}[/tex]
P(C) = [tex]\frac{1}{7}[/tex]
P(D) = [tex]\frac{1}{7}[/tex]
P(E) = [tex]\frac{1}{7}[/tex]
P(H) = [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]
∴ P(S) = [tex]\frac{5}{7}[/tex]
In the diagram below, AJKL is an equilateral triangle and KM I JL.
к
3
2
Which statement must be true?
O A. JK = KM
B. AJKM is a 30-60-90 triangle.
O C. KM = 2 .JM
D. AJKM is a 45-45-90 triangle.
Answers
Answer : B
Step-by-step explanation:
Ape
The statement which is true is KM = 2 .JM, the correct option is C.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
AJKL is an equilateral triangle
Now,
Using these properties, we can eliminate some of the options.
Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.
Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.
Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.
Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:
KM^2 = AK^2 - AM^2
KM^2 = (AK/2)^2 - (AL/4)^2
KM^2 = (AK/4)^2 + (AL/4)^2
KM^2 = ((AK + AL)/4)^2
Since AK + AL = 2 * JL,
KM^2 = (JL/4)^2 * 4
KM^2 = (JL/4)^2 * 4
KM = JL/4 * 2
KM = JL/2
Therefore, the answer of the triangle will be KM = 2 * JM.
Learn more about a right triangle;
https://brainly.com/question/7116550
#SPJ7
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Answers
Answer:
??????
Step-by-step explanation:
Answer:
The radius of the circle is 2 units.
Step-by-step explanation:
The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.
A pyramid with a triangular base has a volume of 50cm³. If the base and the height of the triangular base are 5cm and 8cm respectively, find the height of the pyramid ?
Answers
Answer:
h = 7.5 cm
Step-by-step explanation:
Firstly, we find the area of the triangular base
Mathematically, we have the area of a triangle as;
A = 1/2 * b * h
A = 1/2 * 5 * 8 = 20 cm^2
Mathematically, we have the formula as;
V= 1/3 * A * h
A is base area and h is height
50 = 1/3 * 20 * h
20h = 3 * 50
20h = 150
h = 150/20
h = 7.5 cm
Please help I’ll give brainliest
Answers
Answer:
D. 12m^3n^5
Step-by-step explanation:
Answer:
12m³n⁵
Step-by-step explanation:
3 · 4 = 12
m² · m = m³
n³ · n² = n⁵
Therefore, 3m²n³ · 4mn² = 12m³m⁵
what is the common difference for this arthimitic sequence? -8, -13, -18, -23
a. 5
b. -5
c. -28
d. -21
Answers
EG is the angle bisector of
Answers
Answer:
the remaining angle will be 32
cz angle bisector cuts an angle in two equal parts hooe it may help u
A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answers
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
फरक परेछ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation,
Answers
Answer:
you nepali me nepali all are nepalese nepalese are only unintelligent
NO WRONG ANSWER PLEASE PO
[tex] |? \times \fracwarning [/tex]
ok no no no wrong wrong answer
Answers
Answer:2. okra
Step-by-step explanation:
Try it it is right
a and b share the cost in a ratio of 3:2 a pays £125 how much would b pay
Answers
Answer:
[tex]{ \bf{total \: ratio = 3 + 2 = 5}} \\ \\ = { \tt{ \frac{2}{5} \times 125}} \\ = £50[/tex]
Which sequence is geometric?
Answers
Answer:
4th option
Step-by-step explanation:
in geometric sequences the number is multiplied or divided by same number continuously
in the 4th option we can see that the number 1 is multiplied by 4 continuously so the correct answer would be that.
could anyone help me with this?
Answers
Answer:
93.4 cm²
Step-by-step explanation:
Area of the shaded region = area of the square - area of half of the circle
Area of the shaded region = s² + ½(πr²)
Where,
r = 6.2 cm
s = length of square = diameter of circle = 2*r = 2*6.2
s = 12.4 cm
Plug in the values
Area of the shaded region = 12.4² - ½(π × 6.2²)
= 153.76 - 60.381411
= 93.378589
≈ 93.4 cm² (nearest tenth)
