Answer:
5/2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (27-2)/(1 - -9)
= (27-2)/(1+9)
= 25/10
5/2
A quadratic relation in the form y = ax² + bx + c and has a y-intercept of (0, 1). The parabola also goes through the points (2, 9) and (-5, 16). Determine the parameters of this quadratic relation (the values of a, b, and c).
Answer:
value of
a = 1
b = 2
c =1
and equation is
y = x² + 2x + 1
Step-by-step explanation:
Given quadratic equation y = ax² + bx + c
It has y-intercept of (0, 1)
thus, point (0,1) will satisfy equation y = ax² + bx + c.
putting 1 in place of y and 0 in place of x in equation y = ax² + bx + c we have
1 = a*0² + b*0 + c
c = 1
Thus, equation until now is y = ax² + bx + 1
____________________________________________________
The parabola also goes through the points (2, 9) and (-5, 16)
point (2, 9) will satisfy equation y = ax² + bx + 1.
putting 9 in place of y and 0 in place of 2 in equation y = ax² + bx + 1 we have
9 = a*2² + b*2 + 1
9 = 4a+2b+1
=>4a+2b = 9-1 = 8
dividing both side by 2 we have
4a/2+2b/2 = 8/2
=> 2a + b = 4
b = 4-2a
____________________________________________________
The parabola also goes through the points (2, 9) and (-5, 16)
point (-5, 16) will satisfy equation y = ax² + bx + 1.
putting 9 in place of y and 0 in place of 2 in equation y = ax² + bx + 1 we have
16 = a*(-5)² + b*(-5) + 1
16 = 25a-5b+1
=>25a-5b = 16-1 = 15
dividing both side by 5 we have
25a/5-5b/5 = 15/5
=> 5a - b = 3
second equation is 5a - b = 3
substituting value of b as 4-2a from first equation we have
5a - (4-2a) = 3
=> 5a - 4+2a = 3
=> 7a = 3+4 = 7
=> a = 7/7 = 1
value of b is 4-2a
substituting value of a as 1 in 4 - 2a we have
b = 4 - 2*1 = 4-2 = 2
Thus,
value of
a = 1
b = 2
c =1
and equation is
y = x² + 2x + 1
area of a 158 degree sector
Find the length of arc QS
Answer:
QS ≈ 4.71 units
Step-by-step explanation:
The arc QS is calculated as
QS = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex] ( r is the radius )
= 2π × 3 × [tex]\frac{1}{4}[/tex]
= 6π × 0.25 ≈ 4.71 units ( to the nearest hundredth )
Please help, i actually don't know.
Answer:
the X axis
Step-by-step explanation: The independent variable belongs on the horizontal x-axis, and the dependent variable belongs on the vertical y-axis.
Answer:
The y-axis.
Step-by-step explanation:
In this case, the number of packs of pencils determines the number of pencils you have. Remember that the x-axis is the independent variable and y-axis is the dependent variable.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
find the area of the shape below
Answer:
108!
Step-by-step explanation:
The area of a trapezoid is
1/2 x h x (b1 + b2)
plug it in!
24 x 1/2 x 9
12 x 9
108
A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to keep flying around the tree. Then, all the birds took off, flew around the tree again and landed to sit, four to a branch. Now, no birds were left flying but one branch had no birds sitting on it. How many branches were on the tree and how many birds were in the flock?
Answer: 5 branches and 16 birds.
Step-by-step explanation:
If the number of birds is B, and the number of branches is N.
First we have the equation:
B = 3*N + 1
(3 birds per branch + 1 that was flying around)
for the second equation we have:
B = 4*(N - 1)
(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)
now we can write:
3*N + 1 = 4*(N - 1)
3*N + 1 = 4*N - 4
4 + 1 = 4*N - 3*N
5 = N
So we had 5 branches, now we can replace it in one of the equations and find the number of birds.
B = 3*N + 1 = 3*5 + 1 = 16
Answer:
deposition
Step-by-step explanation:
help me i need it ASAP
Answer:
m = 13
Step-by-step explanation:
To isolate the variable, you undo what is being done to it. Here, we have the variable being multiplied by 7, hence, we divide both sides by 7 and the result is the variable isolated and solved.
1. 7m = 91
2. (7m)/7 = 91/7
3. m = 13
Hope this helps! (Please consider giving brainliest)
What is the value of 3-(-2)?
Answer:
5
Step-by-step explanation:
3 - (-2)
Subtracting a negative is like adding
3+2
5
Which values of a and b make the equation true? (2xy)^4/4xy=4x^ay^b
Answer: a=3, b=3
Step-by-step explanation:
Let's rewrite this expression on the left side so that it matched the form on the right side.
[tex]\frac{(2xy)^4}{4xy}=\frac{16x^4y^4}{4xy}=4x^3y^3[/tex]
Now, you can see the left side matches the same form as the right side.
4x³y³=4xᵃyᵇ
Since they're the same equation, a=3 and b=3.
The cost per month is a good way to compare different modes of transportation. True False Please help and fast. I am in need of desperate help!!!!
Answer:
False
Step-by-step explanation:
Cost is not a complete ways to compare different modes. We also need to look at the time of each mode of transportation. Walking is very cheap (the cost of shoes and water) but would take a very long time. We would also have to look at the convenience factor. The bus may be cheap but it may not run when and where you need it.
It is, that would be true
Which of the following are not a perfect cube ? 6859 , 10648 , 1728
Answer:
6859 is not perfect cube.
Step-by-step explanation:
First we will find all factors under the cube root: 6859 has the cube factor of 361. Let's check this width ∛361*1=∛6859. As you can see the radicals are not in their simplest form. Now extract and take out the cube root ∛361 * ∛1. Cube of ∛361=19 which results into 19∛1 All radicals are now simplified.
hope it helps
1a. What is the 1st step?
1. 3V x + 2 = 12
Choose
Answer:
Subtract 2 from each side
Step-by-step explanation:
3x + 2 = 12
Subtract 2 from each side
3x+2-2 =12-2
3x = 10
Two drivers moving in opposite directions on an 18-mile circular racetrack cross each other at a certain point. If one of them has an average speed of 1.2 miles per minute and the other has an average speed of 1.8 miles per minute, how many minutes will it take for them to cross each other again?
Answer:
They both would cross each other again in the next 5 minutes
Step-by-step explanation:
The first thing to do here is to calculate the lowest common multiple of the average speed of both drivers.
That would be the lowest common multiple of 1.2 miles per minute and 1.8 miles per minute.
That would be 3.6 miles per minute.
Now to get the time at which they would cross each other again, we simply divide the total distance around the circular track by the lowest common multiple of their average speed.
That would be 18/3.6 = 5
This means they would cross each other again in the next 5 minutes
can someone work this out ?
Answer:
297cm^3π
Step-by-step explanation:
R is a radius of the base of a cone, and r of top surface radius.
V=(1/3)×π×depth×(r^2+r×R+R^2)
V=(1/3)×π×3cm×(3^2+3×4.5×4.5^2)
V=(1/3)×π×3cm×(9cm^2+3cm×4.5cm×20.25cm^2)
V=(1/3)×π×3cm×(12cm^2×24.75cm^2)
V=(1/3)×π×3cm×(297cm^4)
V=(1/3)×π×891cm^3
V=(891cm^3/3)π
V=297cm^3π
hope it help yuh
plz mark brianliest if its correct
Which pair of underfined terms is used to define a ray
Answer:
point and line
Step-by-step explanation:
LAST QUESTION with picture pls help
Answer:
2.57 cm
Step-by-step explanation:
sides of full frame with photo:
2x+16 and 2x+10
Area A= (2x+16)(2x+10)
Area of photo alone P= 16*10
As per question: A=2P
(2x+16)(2x+10)= 2*16*104(x+8)(x+5)=2*2*8*10x²+13x+40=80x²+13x-40=0solving this we get x= 2.57 cmthe value of sin^2 30° - cos^2 30° is
Answer:
-1/2
Step-by-step explanation:
Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.
With that being said:
sin^2 30 - cos^2 30
= (1/2)^2 - ((sqrt3)/2)^2
= 1/4 - 3/4
= -1/2
Answer:
-1/2
Step-by-step explanation:
If f(x) = {3x+53x−5if −5
Answer:
-385
Step-by-step explanation:
If -5 = x, then f(x) = -15-365-5 which is -385.
please van you work out 5/6 of 54
Answer:
45
Step-by-step explanation:
1/6 of 54= 9
9*5=45
H and J are both between G and K such that GH = JK and H is between G and J.
Given: GH=x+10
HJ=8
JK=2x-4
Find GJ.
GJ=
Answer:
32
Step-by-step explanation:
So the order of the points is: GHJK
GH = x+10 =JK
HJ=8
JK=2x-4
JK = x+10=2x-4
x+10=2x-4
10+4=2x-x
x=14
GH= 14+10 =24
GJ = GH +HJ = 24+ 8=32
WILL GIVE BRAINLIEST IF CORRECT!!! Pic included
Answer:
D. both functions are increasing but g increases at a faster rate
Step-by-step explanation:
if you compare points of f(x) and g(x)
g(x) is:
(-1,-52)
( 0, -16)
(1, -4)
(2,0)
If you plot the points f(x) is above then equal and then below g(x)
the perimeter of a rectangle is 120 feet. the width of the rectangle.
ye i dont know anything and havent learn anything from online school so help
Answer:
D, a 25 percent discount means the item is at 75 % of what it used to be.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The answer is D. D is showing the actual discount, not the total price with the discount.
Hope this helps! (Please consider giving brainliest)
12
11
10
NA
9
3
8
4
7
5
6
In this figure,
AB | CD
mZ4 = 30° what is mZ8?
Hey there! :)
Answer:
m∠8 = 30°.
Step-by-step explanation:
Since AB || CD, m∠4 = m∠8 because they are corresponding angles. Therefore:
If m∠4 = 30°, m∠8 = 30°.
Answer:
30 = <8
Step-by-step explanation:
<4 and <8 are corresponding angles and corresponding angles are equal when the lines are parallel
<4 = <8
30 = <8
Pleaseeeeee helppppppp
Answer:
The series converges to -1.5.
Step-by-step explanation:
This is a geometric series, so it converges if the number in parenthesis is between -1 and 1.
-1 < -3/5 < 1, so the series converges by the geometric series test.
Now we can plug this into the calculator (on TI-84, it's Math->0 summation) to find that the sum is -1.5. You can use 100 or another big number as a placeholder for infinity.
can someon help me with this?
Answer:
5^-2 ^2
and 5^2 * 5^-6
Step-by-step explanation:
There are 4 (1/5)'s multiplied together so
(1/5) ^4 = 1^4 / 5^4 = 5^-4
and
we know that 5^-2 ^2 = 5^(2*-2) = 5^-4
and 5^2 * 5^-6 = 5^(2-6) = 5^4
Answer:
A and D
Step-by-step explanation:
[tex](5^{-2})^{2}=5^{-2*2}=5^{-4}=1/{5^{4}}\\\\5^2*5^{-6}=5^{-6+2}=5^{-4}=1/{5^{4}}[/tex]
9x2(^)+24x+20=4 trying to solve the quadratic equation by factoring
Answer:
Step-by-step explanation:
9x^2 + 24x + 16 = 0
(3x + 4)(3x+4)=0
3x + 4 = 0
3x = -4
x = -4/3
3x + 4 = 0
3x = -4
x = -4/3
Please answer CORRECTLY !!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!
Answer:
(x+6) (x+6)
Step-by-step explanation:
x^2 + 12x+36
What 2 numbers multiply to 36 and add to 12
6*6 = 36
6+6 =12
(x+6) (x+6)
Answer:
[tex](x + 6)(x + 6)[/tex]
Step-by-step explanation:
[tex]36 + 12x + {x}^{2} \\ {x}^{2} + 12x + 36 \\ {x}^{2} + 6x + 6x + 36 \\ x(x + 6) + 6(x + 6) \\ = (x + 6)(x + 6)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The present age of Joyal’s mother is three times the present age of joyal. After 5 years their ages will add up to 66. Find their present age
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Let's form some equations:
I'll refer to Joyal's age as 'x'
Therefore, his mother's age is '3x'
Here is the equation we create:
x + 5 + 3x + 5 = 66
Simplify this:
4x + 10 = 66
- 10 from both sides:
4x = 56
/4 on both sides
x = 14
3(14) = 42
So, currently Joyal is 14 and his mother is 42
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
