Answer:
steps below
Step-by-step explanation:
From the graph: parabola pass (0,4) (3,4) (1,2)
equation: y = ax² + bx + c
(0,4): c = 4
(3,4): 9a + 3b + 4 = 4 9a+3b = 0 3a + b = 0 ... (1)
(1,2): a + b + 4 = 2 a+b = -2 ... (2)
(1)-(2): 2a = 2 a = 1
(2): b = -3
parabola equation: f(x) = x² - 3x +4
(a) f(3) = 3² - 3*3 + 4 = 4
(b) normal line: parallel to tangent line y = 3x -5 at (3,4)
slope of line N: -1/3 pass (3,4)
equation of N: (y-4)/(x-3) = -1/3 y-4 = -1/3 x + 1
line N: 1/3 x + y - 5 = 0
(c) picture attached
Can someone tell me the answer to this please
Answer:
132°
Step-by-step explanation:
Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°
24 + 24 + ∠PON = 180° - first, simplify this
48 + ∠PON = 180° - now, subtract 48 from both sides
∠PON = 132°
Hope this helps!
Simplify this expression s square root 5 (13+ square root 2)
Answer:
65 + 5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
5(13 + [tex]\sqrt{2}[/tex]) ← multiply each term in the parenthesis by 5
= 65 + 5[tex]\sqrt{2}[/tex]
Can someone plsss help me with the circled question tysm if u doo :((
Answer:
4×sqrt(5) inches
Step-by-step explanation:
Pythagorean theorem states that (for right triangles) if you square each shorter side and add those together, you will get the sum of the longest side (hypotenuse) squared.
This is commonly written as:
a^2 + b^2 = c^2, where c is the hypotenuse.
((For right triangles this will always be opposite the 90° angle.))
Since you know one of the shorter sides and the hypotenuse, rewrite the equation as such:
c^2 - b^2 = a^2, where a is the unknown length
This goes to:
sqrt(c^2 - b^2) = a
sqrt((12in)^2 - (8in)^2) = a
sqrt(144sqin - 64sqin) = sqrt(80sqin) = a
This simplifies to:
sqrt(16sqin)×sqrt(5sqin) = 4in×sqrt(5sqin) = a
I need help ASAP!!! (please look at the image and explain how you got the answer, please and thanks)
Answer:
114
Step-by-step explanation:
so lets call shelf 1 x
shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18
shelf 3 is 12 less than shelf 1 so x-12
shelf 4 is four more so x+4
Add them all together and it should be 5x+10= 2.5 m or 250 cm
Solve for x using cm
then plug into shelf 2 equation
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
A
- 10x - 10 = -10x + 10
B
10x - 10 = -10x - 10
C
- 10x - 10 = -10x - 10
D
10x – 10 = -10x + 10
Answer:
10
Step-by-step explanation:
that is the answer because its her choice
how to find the equation of a line that is parallel and passes through a point
Answer:
Step-by-step explanation:
Parallel line have the same slope. Put the reference line is y=mx+b format. m will be the slope. A parallel line must have the same m. Example:
y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0). Any line witrh the same slope will be parallel. So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap. Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:
y=2x+b
14=2*3+b
14=6+b
b=8
The parallel line to y=2x+5 is y=2x+8: It is parallel and goes through the point (3,14).
Help me please help help help help
Answer:
area of trapezium:
a+b divided by 2, times by the height.
so its 8+20=28.
28/2=14.
14*14=196.
area=196
Step-by-step explanation:
what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6
What is the slope of the line that passes through the points (-4,-2) and (-4,22)
Answer:
0
Step-by-step explanation:
( x1, y1 ) = ( - 4, - 2 )
Here,
x1 = - 4
y1 = - 2
( x2, y2 ) = ( - 4, 22 )
Here,
x2 = - 4
y2 = 22
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )
= ( 22 + 2 ) / ( - 4 + 4 )
= 24 / 0
= 0
A mass suspended from a spring is raised a distance of 5 cm above its resting position. The mass is released at time t=0 and allowed to oscillate. After one third of a second, it is observed that the mass returns to its highest position, which was 4.5 cm above its resting position. What is the rate of change of the position of the mass at t = 2.1 seconds?
Rates of change are the change of a quantity over another.
The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
The given parameters are:
[tex]\mathbf{A = |5|}[/tex] -- the amplitude
[tex]\mathbf{T = \frac 13}[/tex] --- the period
The position of the mass is modeled by:
[tex]\mathbf{y= Acos(wt)}[/tex]
Where:
[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]
So, we have:
[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]
[tex]\mathbf{w = 6\pi }[/tex]
[tex]\mathbf{y= Acos(wt)}[/tex] becomes
[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]
[tex]\mathbf{y = 5cos(6\pi t)}[/tex]
Differentiate
[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]
[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]
When t = 2.1, we have:
[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]
[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]
[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]
[tex]\mathbf{y' = -89.6296}[/tex]
Approximate
[tex]\mathbf{y' = -89.6}[/tex]
Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s
Read more about rates at:
https://brainly.com/question/15579510
if you purchesd a $49.00 gift and you use a 20% off coupon how much do you spend
Answer:
$39.20
Step-by-step explanation:
$49 * (1-.2) = $39.20
a) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)
Answer:
bobo ka ba
Step-by-step explanation:
name!https://youtu.be/vA3qDEMnB5k
the fastest recorded Hawaiian lava flow moved at an average speed of 6 miles per hour. The function y=6x describes the distance y the lava moved on average in x hours. graph the function. use the graph to estimate how many miles the lava moved after 4.5 hours
Answer:
The answer is 27 6 times 4.5 is 27 Welcome!!!
Step-by-step explanation:
Brainiest ????
u may not understand this but what is 10 g/cm³ a measure of
. is it Volume Mass or density
82% of the 200 animals in a dog or cat rescue centers are cats. What percentage are dogs?
A. 82%
b. 59%
C. 24.39%
D. 41%
At town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?
Answer:
25,160
Step-by-step explanation:
17,000 x 0.04 = 680
Town gains 680 people every year.
After 12 years, town will have 25,160 people.
This could also be wrong because it may be 4%+ the added people from the previous number. However, I think it is 25,160.
find the equation of perpendicular bisector of the lines with the given word (1,2) and (5,4)
Answer:
y = -2x + 4
Step-by-step explanation:
Slope: (4-2)/5-1) = 2/4 = 1/2
Slope of the perpendicular line: -2
y-intercept: 2 - (-2)(1) = 4
caroline wants to make cookies to bring to a party. she will need to double the recipe to have enough. how much of each ingrediant will she need. rewrite the recipe so that it will make 4 dozen cookies
recipes:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
MAKES 2 DOZEN COOKIES
Answer:
1 1/2 cups of peanut butter
1 cup of vegetable shortening
2 1/2 cups grimly packed light brown sugar
6 tablespoons of milk
5 1/2 teaspoon vanilla extract
2 large eggs
3 cups of flour
1 1/2 teaspoon of baking soda
1/2 teaspoon of salt
Step-by-step explanation:
You just double everything by 2
The ingredients needed to make 4 dozen cookies are written below;
3/2 cup of peanut butter
1 cup vegetable shortening
2½ cups girmly packed light brown sugar
6 tablespoons milk
5½ teaspoon vanilla extract
2 large egg
3 cups flour
3/2 teaspoon baking soda
1/2 teaspoon salt
How much of each ingrediant will she need?Recipe for 2 dozen cookies:
3/4 cup of peanut butter
1/2 cup vegetable shortening
1 1/4 cups girmly packed light brown sugar
3 tablespoons milk
2 3/4 teaspoon vanilla extract
1 large egg
1 1/2 cups flour
3/4 teaspoon baking soda
1/4 teaspoon salt
Recipe for 4 dozes of cookies: multiply the recipe for 2 dozen by 2
3/4 cup of peanut butter × 2
= 6/4 = 3/2
1/2 cup vegetable shortening × 2
= 2/2 = 1
1 1/4 cups girmly packed light brown sugar × 2
= 5/4 × 2
= 10/4 = 5/2 = 2½
3 tablespoons milk × 2
= 6
2 3/4 teaspoon vanilla extract × 2
= 11/4 × 2 = 22/4
= 11/2 = 5½
1 large egg × 2
= 2
1 1/2 cups flour × 2
= 3/2 × 2
= 6/2 = 3
3/4 teaspoon baking soda × 2
= 6/4 = 3/2
1/4 teaspoon salt × 2
= 2/4
= 1/2
Read more on recipe:
https://brainly.com/question/25936585
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A concert earned $3,745 in ticket sales. One ticket to the concert cost $35.
How many tickets were purchased for the concert?
Answer:
107 concert tickets were bought
Step-by-step explanation:
264 devided by 2= also i am sending more so look out
Answer:
132
Step-by-step explanation:
Profit and loss. Help plz
Answer:
351 minus 316 I think
Step-by-step explanation:
okay so you will do 351 minus 316 and ur answer is 35 so her profit is 35 dollars also known as 35$ I hope this helped!!
what is the answer for this question
Answer:
5
Step-by-step explanation:
Answer:
5 centimeters
Step-by-step explanation:
leaf is 11cm, catepillar is 6.... 11-6=5
Find the value of x that makes p||q
Answer:
20
Step-by-step explanation:
90-50=40... therefor X must equal 20
2 shops sell luxury chocolates.
Shop A : 200 g for £2.90
Shop B: 150 g for £2.15
Which shop offers the best value for money?
Answer:
shop b
Step-by-step explanation:
Please help
Mr. Fisher rode his bike from point A to B, then to C, What distance did he travel?
Answer: 7 m
Step-by-step explanation:
4 + 3 = 7
Answer:
7m
Step-by-step explanation:
Basically, from point A up to B is 4m and from B east to C is 3m.
Hope this helps!
Solve for x
33=x/2+15
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
Therefore, [tex]x = 36[/tex].
To check your answer, apply 36 to where [tex]x[/tex] is.
[tex]33=\frac{36}{2} +15[/tex]
⇒ [tex]33=18+15[/tex]
[tex]18+15=33[/tex] ☑
Answer:
[tex]\boxed{\sf x=36}[/tex]
Step-by-step explanation:
[tex]\sf 33=\cfrac{x}{2}+15[/tex]
[tex]\boxed {\sf Multiply\: both \:sides \:by \:2}[/tex]
[tex]\sf 66=x+30[/tex]
Swap sides so that all the variable terms are on the left hand side:
[tex]\sf x+30=66[/tex]
[tex]\boxed{\sf Subtract \:30\: from \:both \:sides}[/tex]
[tex]\sf x=66-30[/tex]
[tex]\boxed{\sf Subtract \: 30\: from \:66}[/tex]
[tex]\sf x=36[/tex]
_________________________
What is 42893+2432743
Answer:
42,893 + 2,432,743 = 2,475,636
, Hope this helps :)
Have a great day!!
Answer:
[tex]\sf 42893+2432743[/tex]
[tex]\sf =2475636[/tex]
Wolfman and Dracula we’re having a contest to see who can scare people the most for every three people Dracula scare Wolfman scared seven if Wolfman scared 24 more people how many people were scared and all
A snail glides 4 metres in 2 hours
what is the average speed of the snail in metres/hour?
how far will it glide in 6 hours?
what is the time taken by the snail to glides a distant of 1 metre?
Answer:
2 metres per 1 hour
12 metres per 6 hours
30 minutes to glide 1 metre.
Step-by-step explanation:
1. To find the average speed, simply divide the distance covered by the amount of time taken, like so:
4 metres / 2 hours = 2 metres per 1 hour
2. To find how many metres the snail will glide in 6 hours, multiply the 2 metres per 1 hour by 6, like so:
6(2 metres per 1 hour) = 12 metres per 6 hours
3. Because we know that 2 metres take 1 hour to glide over, if we divide 2 in half, we get 1, so we can also divide 1 hour in half to get 30 minutes. Therefore, it takes 30 minutes to glide 1 metre.
Hope this helps :)
Plsss help me with this question!!!