Step-by-step explanation:
a) The slope formula is given by
m = (y2 - y1)/(x2 - x1)
Let P1(7, 5) and P2(21, 15)
m = (15 - 5)/(21 -7)
= 10/14
= 5/7
b) Let's see if the slope is only a third of the one found in part (a) or m = 5/21. Let P1(0, 0) and P2(21, 5).
m = (5 -0)/(21 - 0)
= 5/21
Indeed, the slope is only a third of part (a), as we predicted.
Answer:
the answers are 7/5 and (21,5)
Step-by-step explanation:
sorry this is late by 2 months
Simplify the expression below.
(x^-2)^-12
A.
x^-24
B.
x^-14
C.
x^14
D.
x^24
Answer:
D. x^24
Step-by-step explanation:
If it is in the parenthesis you multiply.
-2*-12= 24
Two negatives equals a positive.
Mia bicycles every day. Based on the graph, if Mia rides for 1.5 hours, how many miles does she bike?
A. 5
B. 10
C. 15
D. 20
It is C because if you pinpoint 1.5 on the x axis and look at the y axis right above it, go to the right and you will see 15 so C is the answer.
solve for angle..........
Answer:
57
Step-by-step explanation:
An angle formed by a tangent and secant is equal to half the difference of its intercepted arcs. ( major arc minus minor arc to be more specific. )
∠B is the angle formed by a tangent and secant
Arc CA is its intercepted arc ( minor arc to be more specific )
Arc DA is also its intercepted arc ( major arc to be more specific )
Hence, ∠B = [tex]\frac{1}{2}[/tex] ( Arc DA - Arc CA )
If arc CA = 51 and Arc DA = 165
Then ∠B =
[tex]\frac{1}{2} (165-51)\\165 - 51=114\\\frac{1}{2} (114)=57[/tex]
Hence, ∠B = 57
Which point is on the graph of the following function rule: y-7-5x
A)(3,22)
B) (-3, 22)
c) (1,-13)
D) (1,13)
Name the property used :fast please
a) -17 ×1 = -17
b) (-5) + 6 = 6 + (-5)
Answer:
a) identity property of multiplication
b) commutative property in addition
Question 3 (1 point) Find the area of the figure. Round to the nearest hundreth. 44 in A= in2 Blank 1:
Answer:
50 in
Step-by-step explanation:
77%
Calculate the area of this triangle.
14 cm
11 cmi
18 cm
Answer:
A = 99 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 18 and h = 11 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 11 = 9 × 11 = 99 cm²
H=(...-2,-10,1,2,...3what type of set is H
A : empty set
B: finite set
C: infinity set
D: universal set
Answer: Universal set
Step-by-step explanation:
A universal set is usually represented by U and it is set that has all the elements of a related sets.
For example, if there are two sets which are X and Y. Let's say X = {1,2,3} and Y = {1,a,b,c}, therefore, the universal set will be U = {1,2,3,a,b,c}.
In the above scenario, H(...-2,-10,1,2,...3) is a Universal set.
The scale factor from Dad's mug to Mom's mug is
(leave answer as a fraction)
HELP ASAP! THANKS!
Kade is gathering box tops for his school. Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired. He collected 441 box tops this year. How many boxtops will be expired this year if Kade can estimate the number of box tops that will expire this year using the ratio from last year? Round to the nearest whole number.
The number of box tops expired this year is 34.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, Last year he was able to collect 312 box tops. Out of 312 box tops, 24 were already expired.
So, the ratio is 312:24
39:3
13:1
He collected 441 box tops this year.
Here, the ratio is 441/13 =34
Therefore, the number of box tops expired this year is 34.
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Given: BD ≅ DE, CD ≅ DF
Prove: BC ≅ EF
answer:
statements
1. BD ≅ DE
2. CD ≅ DF
3. ∠BDC ≅ ∠EDF
4. ▲BDC = ▲EDF
5. BC ≅ EF
reasons
1. given
2. given
3. definition of vertical angles
4. SAS
5. CPCTC
step-by-step explanation:
vertical angles are equalSAS means side-angle-side — two triangles are congruent when they meet the "requirements" for SASCPCTC means corresponding parts of congruent triangles are congruent — when two triangles are congruent, their corresponding parts are also congruentWhat is the distance, in units, between the two points?
Answer:
Use the Distance Formula! It's super simple. Btw your answer is 2i√7
Step-by-step explanation:
If you look at the second image you can see all the work plus steps to solve it yourself next time!
Please mark brainliest!
The distance between the two points will be 10 units.
What is coordinate geometry?A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.
Given points are (1,3) and (5,6). The distance between the points will be calculated as below:-
D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]
Substituting the given values, we get:
D = √((3 - (-3))² + (-4 - 4)²)
D = √(6² + (-8)²)
D = √(36 + 64)
D = √(100)
D = 10
Therefore, the distance between the two points (-3, 4) and (3, -4) is 10 units.
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May and Ellie collected data for 75 graphs, recording whether the graphs were increasing or decreasing, and whether or not they crossed the x- axis. The table below shows their findings.
Determine the relative frequency for a graph that has no x- intercept, given that the graph is increasing. SHOW YOUR WORK!
Answer:
What are you gonna do is across the x
Step-by-step explanation:
Answer: 25/37 = 0.67
Hopefully that helps!!
A room 9.5 m long and 6 m wide is surrounded by a verandah 1.25 m wide. Calculate the cost of
cementing the floor of this verandah at 28 per sq. metre.
ans-₹1260
pls give me the explanation how will the ans come...pls fst
Answer:
Step-by-step explanation:
Area of room = 6×9.5=57m2
Area of room including verandah = 12×8.5=102m2
So area of verandah = 102−57=45m2
So cost of cementing the floor of this verandah = 45×80=3600rupees
You buy a gallon of milk that costs $3.50. The milk is discounted for 10% off. You also have to pay tax of 6.25% on the discounted price. What is the final cost?
Answer: ($3.50- 10% = 3.4)
( 3.4 + 6.25% = $3.46 or 3.4625 )
Step-by-step explanation:
The final cost of milk is $ 3.36875
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
price of galloon of milk = $3.50
Discount = 10%
tax = 6.25%
Now, price after discount
=3.5 x 0.10
= 0.35
and, after tax
=3.5 x 0. 0625
= 0.21875
Hence, final cost of milk = 3.5 -0.35 + 0.21875= $ 3.36875
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what type of function is shown in the table below?
Answer:
polynomial
the table shows x^2 = y
Answer:
I would say this is a polynomial function since there is no relation in the increasing y-values
Hope this helps!
The fish population is decreasing at a rate of 3% per year. In 2002 there were about 2100 fish. Find the fish population in 2010. Round to the nearest whole number
Answer:
Population of fish in 2010 = 1,646 fish (Approx.)
Step-by-step explanation:
Given:
Population of fish in 2002 = 2100 fish
Decrease rate = 3% per year
Find:
Population of fish in 2010
Computation:
Number of year = 2010 - 2002
Number of year = 8 year
A = P[1+r]ⁿ
Population of fish in 2010 = Population of fish in 2002[1+(-3%)]ⁿ
Population of fish in 2010 = 2100[1-0.03]⁸
Population of fish in 2010 = 2100[0.97]⁸
Population of fish in 2010 = 2100[0.7837]
Population of fish in 2010 = 1645.77
Population of fish in 2010 = 1,646 fish (Approx.)
An article costing Gh37000 was sold for Gh31450. What is the loss percent
Answer:
15%
Step-by-step explanation:
The first step is to find the loss
Cost price -selling price
37000-31450
= 5,550
The loss percent can be calculated as follows
= loss/cost price × 100
= 5550/37000 × 100
= 0.15×100
= 15%
Hence the loss percent is 15%
A circle with a center at (2,-3) passes through the point (-1,-8). Write the equation of the circle.
Answer: (x - 2)^2 + (y + 3)^2 = 34
Step-by-step explanation:
The basic equation for a circle is
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre of the circle
Using Pythagoras we can find r^2
r^2 = (2 - -1)^2 + (-3 - -8)^2
= 3^2 + 5^2
= 34
So the circle is (x - 2)^2 + (y - -3)^2 = 34
The Equation of Circle is (x -2)² + ( y + 3)² = 34.
What is Equation of Circle?The standard equation of a circle is given by: (x-h)² + (y-k)² = r². Where (h,k) is the coordinates of center of the circle and r is the radius.
We know the standard form of Equation of Circle
(x - a)² + (y - b)² = r²
where (a, b) is the Centre of the circle
Also, we have a circle with a center at (2,-3) passes through the point (-1,-8).
Using Pythagoras theorem
r² = (2 - -1)² + (-3 - -8)²
= 3² + 5²
= 34
Thus, the Equation of Circle is (x -2)² + ( y + 3)² = 34.
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5,880,000,000,000 miles is equivalent to 1 light year. What is this number represented in scientific notation?
5.88×1010
5.88×1012
58.8×1011
5.88×10-12
Answer:
5.88 x 1012
Step-by-step explanation:
To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. If you start at the decimal of 5.88 and move it 12 spaces to the right, then you get 5,880,000,000,000 miles.
The number represented in scientific notation is 5.88×1013.
What is scientific notation?It is the way of writing a large number between 1 to 10 with a power of 10.
We have,
5,880,000,000,000 miles is equivalent to 1 light year.
We can convert this number to scientific notation by moving the decimal point 13 places to the left
(because there are 13 zeros in 5,880,000,000,000) and multiplying by 10 raised to the 13th power:
So,
= 5,880,000,000,000
= 5.88 × 10¹³
Therefore,
The number represented in scientific notation is 5.88×1013.
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12 workers
can do a piece of work in 20 days, how many worker should
be added to complete the work in 16 days? [Ans: 3]
If you help me to do this question I will make brainliest
what graph represents the solution of 3t + 1 ≤ 5?
i’m bad at geometry help
Answer:
sohcahtoa
Step-by-step explanation:
A conservationist is tracking the number of a rare type of tree in a forest as it recovers from a fire.
During the first 4 years after the fire, she records 2, 6, 18, and 54 trees. If this trend continues, which
expression can be used to find the number of trees after n years?
Answer:
The expression is [tex]T(n) = 2*(3)^n[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same.
The general rule of an geometric sequence is given by:
[tex]T(n) = T(0)(q)^n[/tex]
In which T(0) is the initial amount and q is the quotient.
During the first 4 years after the fire, she records 2, 6, 18, and 54 trees.
First term is 2, so [tex]T(0) = 2[/tex].
Quotient is [tex]q = \frac{54}{18} = \frac{18}{6} = \frac{6}{2} = 3[/tex]
So
[tex]T(n) = T(0)(q)^n[/tex]
[tex]T(n) = 2*(3)^n[/tex]
The expression is [tex]T(n) = 2*(3)^n[/tex]
Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:
(a) three times as much, (b) twice as much, (c) the same, (d) half as much, (e) a third as much
please explain your thought process
Answer:
The answer is b. But you asked for the thought process so...
Step-by-step explanation:
Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.
We know that
Speed = Distance/Time.
Or, Time = Distance/Speed.
So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.
And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.
= 100/x hr.
So we can clearly see that his new time compared with the old time was: twice as much.
Have a great day :)
A cone of day has a radius of 6 cm and a height of 20 cm. What is its volume?
Help ASAP !! ❤️
Answer:
[tex] \frac{1}{3} \times \pi \times {r }^{2} \times h \\ \frac{1}{3} \times 3.14 \times 36 \times 20 \\ \\ = 753.6 {cm}^{3} [/tex]
either you can write it in terms of π
Answer:
ok so this is the solution go to search and look up the question you posted and it will give you the answer
THIS IS WHAT I found HOPE THIS HELPED
Step-by-step explanation:
Solution
753.98224cm³- think this is the answer check your answer choices to see if you have this choice 753.98224cm³
if not let me know 753.98224cm³
Solve Jill's equation 30 + 6x = 20 + 8x What does the solution tell us about the T-shirt offers?
Answer:
Step-by-step explanation:
Answer:
X=5
Step-by-step explanation:
What is 23.826 correct to two decimal places
Answer:
23.83
Step-by-step explanation:
If the number next to it is above 5 then you round it up.
So the 2 becomes a 3 because the 6 to the right of it is above 5.
Hope this helps
Brainliest would be appreciated
Given that mDE = 49° and mFG = 12°, find mFE.
Answer:
mFE = 119°Explanation:
mGB = 90°
mGB = mBD
∴ mGD = 180°
⇒ mFE = 180 - (mDE + mFG)
mFE = 180 - (49 + 12)
mFE = 180 - 61
mFE = 119°
Answer:
119°
Step-by-step explanation:
[tex] In\: \odot A, [/tex] GD is diameter.
[tex] \therefore m\widehat{GFD} = 180\degree [/tex]
[tex] \because m\widehat {FG} +m\widehat {DE} = m\widehat {FE} \widehat{GFD} [/tex]
[tex] \therefore m\widehat {FG} +m\widehat {DE} + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 49\degree +12\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore 61\degree + m\widehat {FE} = 180\degree [/tex]
[tex] \therefore m\widehat {FE} = 180\degree - 61\degree [/tex]
[tex] \therefore m\widehat {FE} = 119\degree [/tex]
What type of function is shown in the graph?
A. Logistic growth
B. Exponential
C. Logarithmic
D. Rational