[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]
An aircraft factory manufactures airplane engines. The unit C(the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made , then the unit cost is given by the function C (x) = 0.9x^2-306x+34,590. What is the minimum unit cost?
Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 16 cm.
(1) How many equilateral triangles are there? _____
(2) What is the measure of each of the three angles in the equilateral triangle? _____
(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____
(4) What is the vocabulary word for the segment a? _____
(5) What is the length of the short side of one of the 30-60-90 triangles? _____
(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____
(8) What is the height of one of the the equilateral triangles? _____
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____
Answer:
(1) How many equilateral triangles are there? ___6__
(2) What is the measure of each of the three angles in the equilateral triangle? __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_
Step-by-step explanation:
In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles
What is Hexagone?In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles
The answers of all the fill in the blanks are given below:
(1) How many equilateral triangles are there ___6__
(2) What is the measure of each of the three angles in the equilateral triangle __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²
To know more about Hexagone follow
https://brainly.com/question/1615720
1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin
Answer:
Second is the correct answer but i think all are correct
If a recipe for a cake calls for 2 1/2 cups of flour and Mary wishes to make 3 cakes, how many cups of flour does she need A. 6 B. 6 1/2 C. 7 1/2 D. 9 E. 9 1/2
Answer:
option C 7½ is correct hope this answer helps you dear! take care
Solve: 2x^2 -x >15 Show your work.
Answer:
x>3
Step-by-step explanation:
Work:
2x^2-x>15
Subtract 15 on both sides:
2x&2-x-15>0
Factor the left side of equation to cancel out the ^2.
(2x+5)(x−3)>0
2x+5=0 or x−3>0
Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3
the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.
Answer:
You should be able to get your answer by
Step-by-step explanation:
For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.
Hope this helps
I NEED HELP PLSSSSSS
Answer:
130 is the answer I Think
Find the geometric mean between 18 and 7. Write your answer in radical form.
• 3 square root of 14
• 126
• 9 square root of 7
• 128
Answer: Choice A
Work Shown:
[tex]m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\[/tex]
1+×= ???? answer it
Answer:
1+x=x
Step-by-step explanation:
1 is only one letter
if I move up 8 and then move down 8 where am I located?
Answer:
you are back in your place.
Step-by-step explanation:
sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?
Answer:
12x-15 dollars
Step-by-step explanation:
She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.
w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls
brief statement Bosnian Crisis.
Answer:
The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.
Step-by-step explanation:
hope this helps
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer:
y=2x +5
Step-by-step explanation:
so 2 goes in the first blank and 5 goes in the second
Hope this helps!❆
Use synthetic division to find the result when 3x^4 – 16x^3 + 29x^2 - 17x - 2 is divided by x – 2
Answer:
2
Step-by-step explanation:
Please please help please help me please please help me
Answer:
y = -6/7x - 10/7
Step-by-step explanation:
(-4,2) and (3,-4)
Slope: - 6/7
Take any point: (-4,2)
y-intercept: 2 - (- 6/7)(-4) = -10/7
can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
Answer:
y = -4x + 28
Step-by-step explanation:
yeah-ya........ right?
Step-by-step explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)
3. Because it is so popular, a store owner increases the cost of a toy by $3.49. The new cost of the toy is $9.84.
(a) Write an equation that represents the situation. Use c to represent the original cost of the toy.
(b) Solve the equation using a related equation. Show your work.
(c) What does the solution of the equation represent? plz answer
a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35
Answer:
a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.
solve pls brainliest
We have: 103/20= 5,15 ; 5 2/9= 5,(2)
So the answer is:
103/20 < 5.169 < 5.19 < 5 1/2
ok done. Thank to me :>
can someone help me ?
Which of the following are true?
3^6 x 3^-3 = 27
3^3 x 3^-6 = 1/27
3^2 x 3^1 = 27
3^4 x 3^-1 = 1/27
Answer:
i think that all of them EXCEPT the last one are correct. Explained below
What is equivalent to 6 + 3 x 9 - 4
Answer:
29
Step-by-step explanation:
6 + 3 x 9 - 4
6 + 27 - 4
33 - 4
=29
I'll give brainiest whoever answers first
aight slide it here big boy
The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero. procedure gcd(a, b) if a > b then gcd(a, b) := gcd(b, a) else if a = 0 then gcd(a, b) := b else if a = 1 then gcd(a, b) := 1 else if a and b are even then gcd(a, b) := 2gcd(a/2, b/2) else if a is odd and b is even then gcd(a, b) := gcd(a, b/2) else gcd(a, b) := gcd(a, b − a) Use this algorithm to compute (a) gcd(124, 244) (b) gcd(4424, 2111).
Coding the given algorithm in python 3, the greatest common divisor of the values (124 and 244) and (4424 and 2111) are 4 and 1 respectively.
The program implementation goes thus :
def gcd(a, b):
#initialize a function named gcd which takes in two parameters
if a>b:
#checks if a is greater than b
return gcd (b, a)
#if true interchange the Parameters and Recall the function
elif a == 0:
return b
elif a == 1:
return 1
elif((a%2 == 0)and(b%2==0)):
#even numbers leave no remainder when divided by 2, checks if a and b are even
return 2 * gcd(a/2, b/2)
elif((a%2 !=0) and (b%2==0)):
#checks if a is odd and B is even
return gcd(a, b/2)
else :
return gcd(a, b-a)
A sample run if the program on the values given :
print(gcd(124, 244))
print()
#leaves a space after the first output
print(gcd(4424, 2111))
Learn more :brainly.com/question/25506437
Show this situation on a vertical number line
what is the situation to your question
Answer:
What is the situation?
Step-by-step explanation:
What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)
Answer:
Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.
Step-by-step explanation:
Even if both 1/4 is left, that doesn't mean you started with the same amount. Also, both 1/4 pieces are different shapes and sizes, making him wrong.
Hope this helped!! :)
A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.
Answer:
10,000th place
Step-by-step explanation:
Valentine's Day is coming up, so Sweet Dreams chocolate shop is ordering ribbon to decorate gift boxes. Small gift boxes use 20 inches of ribbon, while large ones use 30 inches. Sweet Dreams expects to sell 225 small boxes and 180 large boxes. If the ribbon they use is sold by the yard, how many yards of ribbon should they order?
Answer:
i think 9900
Step-by-step explanation:
225x20 = 4500
180x30 = 5400
5400+4500 = 9900
Amelia and her children went into a grocery store and she bought $10 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a total of 12 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Amelia bought.
Answer:
8 apples
4 bananas
Step-by-step explanation:
8 apples (8$)
4 bananas (4$)
12 total
10 $ total
hope it helps
How much is f(x) = 3(4)x
Answer:
f ( x ) = 12 x
Step-by-step explanation: 3x4=12 so that makes it f(x)=12x
How many eggs are 5dozens
Answer:
60
Step-by-step explanation:
1 dozen=12 eggs. 12 ×5=60
Answer:
60
Step-by-step explanation:
dozen=12
5x12=60
