GRADE 10 MATH QUESTIONThe city is trying to open a road that connects a cabin in the woods to a
roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on
the map and the parks are at point A (-2,10) and point B (5,-4). Find the
route that minimizes the cost and the number of trees that have to be cut
down (Hint: Find the shortest distance between the cabin and the roadside)
Answers
Answer:
the shortest route is from cabin site to B
Step-by-step explanation:
see my attachment
Answer:
answer is b
Step-by-step explanation:
Related Questions
The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct to four decimal places for the following values of x: (1) .5 (2) .9 (3) .99 (4) .999 (5) 1.5 (6) 1.1 (7) 1.01 (8) 1.001
Complete the square x2 + 4x +3=15 somebody help
What is the solution of this system of linear equations?A. (1, 0)B. (0,0)C. (0, 1)D. X=0Graph is attached , help quick please
In the equation x/35=7, what is the value of x?
Answers
Choose two out of three different colors of paints a color
Answer: 3x2/2 = 3 different colors
If the colors are a, b and c, the different combinations are:
ab = ba
ac = ca
bc= cb.
Permutation
Choose two out of three rectangular pieces of fabrics,each of different solid colors, to make flags with horizontal colors.
3x2 = 6.
If the colors are a, b, c the permutations are
ab
ba (they are different because the fabrics are in different positions)
ac
ca
bc
cb
Total: 6 different flags with two colors out of three available.
The first situation is a combination because the order in which you use the colors make no difference. The second one is permutation because the order makes a difference.
Plant 2 : P2 (x) = -0.02x^2 + 21x - 1700
Find polynomials representing the difference in profits between the companies. Find P1(x) - P2 (x) and P1 (x). Compare the two differences and draw conclusions. Show work and make a equation
Answers
P1(x) - P2(x) = -0.01x² + 4x + 200
This shows that P1(x) profit is less than P2(x).
P2(x) - P1x = 0.01x² - 4x - 200
This shows that P2(x) profit is more than P1(x).
What is a polynomial?
Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
Plant 1:
P1 (x) = -0.03x² + 25x - 1500
Plant 2:
P2 (x) = -0.02x² + 21x - 1700
P1(x) - P2(x):
= -0.03x² + 25x - 1500 - (-0.02x² + 21x - 1700)
= -0.03x² + 25x - 1500 + 0.02x² - 21x + 1700
= -0.01x² + 4x + 200
For any x value, we will get a negative value.
This means,
P1(x) profit is less than P2(x).
P2(x) - P1x:
= -0.02x² + 21x - 1700 - (-0.03x² + 25x - 1500)
= -0.02x² + 21x - 1700 + 0.03x² - 25x + 1500
= 0.01x² - 4x - 200
For any x value, we will get a positive value.
This means,
P2(x) profit is more than P1(x).
Thus,
P1(x) - P2(x) shows that P1(x) profit is less than P2(x).
P2(x) - P1x shows that P2(x) profit is more than P1(x).
Learn more about polynomials here:
#SPJ2
≈0.67pi in., ≈1.83pi in., ≈3.67pi in., or ≈1.33pi in.
Answers
The arc length of TV is ≈ 3.67π in.
What is Arc length?
Arc length is the distance between two points along a section of a curve.
Given:
∠SMV = 48 and MT= 5 in
As, ∠SMV and ∠VMT are forms linear pair. So,
∠VMT + ∠SMV = 180∘
∠VMT= 180 - ∠SMV
∠VMT = 180∘ − 48∘
∠VMT =132∘
Now, length of arc will be,
= /360 2πr
=132/360*2*π*5
=132/360*10π
=33/9π
≈ 3.67π in.
Hence, the arc length of TV is ≈ 3.67π in.
Learn more about Arc length here:
#SPJ2
Answer: ≈ 3.67π in.
Step-by-step explanation:
∠SMV and ∠VMT are supplementary. Therefore,
m∠VMT = 180∘ − m∠SMV
It is given that m∠SMV = 48∘. Substitute the given value and simplify.
m∠VMT = 180∘ − 48∘
=132∘ Arc length is the distance along an arc measured in linear units. The formula for Arc Length is L= 2πr (m∘/360∘).
The length of the radius is given as 5 in. Substitute the known values into the formula.
L= 2π (5) (132/360)
Simplify.
L= 33/9π
Round to the nearest tenth.
L ≈ 3.67π in.
Therefore, the arc length of TV is ≈ 3.67π in.
Answers
Answers
Answer: -47
Work Shown
f(x) = 3x-5
f(4) = 3*4-5
f(4) = 12-5
f(4) = 7
We can then replace f(4) with 7 to go from g[ f(4) ] to g(7)
g(x) = 2 - x^2
g(7) = 2 - 7^2
g(7) = 2 - 49
g(7) = -47
Answers
Answer:
38.4
Step-by-step explanation:
We have 8/2.5=3.2 What does this mean? Well, it means that (if the miles are porportional to the dogs) that means he will see 3.2 as many dogs. So, we have 12*3.2=38.4, or 38 if the homework is asking for a rounded number. Hope I helped!
Larry sees 12 dogs per 2.5 miles.
Your trying to find out how many dogs Larry sees in 8 miles.
So you want to find x.
To go from 2.5 to 8, you have to multiply by 3.2
So do the same thing to the denominator; 12 × 3.2=38.4
Since there are 38.4 dogs, you have to round down because 0.4 dogs is no dog.
Larry sees 38 dogs in 8 miles.
♡ Hope this helped! ♡
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