Answers
Answer: A. (-1,-10)
The x-coordinate of the vertex can be calculated using [tex]x=-\frac{b}{2a}[/tex].
According to the equation given a = 1, and b = 2.
[tex]x=-\frac{b}{2a} =-\frac{2}{2(1)}=-\frac{2}{2} =-1[/tex]
The y-coordinate of the vertex can be calculated by subbing in the x-value from the previous equation (x = -1) for x, and solving for y.
[tex]y=x^{2}+2x-9=(-1)^{2}+2(-1)-9=1-2-9=-10[/tex]
∴ the vertex is (-1,-10).
Related Questions
What is the sum of 3 times a number and 2
Answers
Answer:
3x+2
Step-by-step explanation:
I believe you asked for the equation
What is the factored from of y2+6y-16
Answers
Answer:
(y + 8)(y - 2)
Step-by-step explanation:
Given
y² + 6y - 16
Consider the factors of the constant term (- 16) which sum to give the coefficient of the y- term (+ 6)
The factors are + 8 and - 2, since
8 × - 2 = - 16 and 8 - 2 = 6, thus
y² + 6y - 16 = (y + 8)(y - 2)
Answer is (y-2)(y+8)
Five less than a number (n) is 28. Which equation shows this relationship?
5 < 28n
5- n = 28
n - 5 = 28
n - 28 = 5
Answers
Answer:
n - 5 = 28
Step-by-step explanation:
The number is n.
5 less than the number is n - 5.
5 less than the number is 28
n - 5 = 28
Please help as quick as possible
Answers
Answer:
4/81
Step-by-step explanation:
1/4, 1/6, 1/9, 2/27 series
1/6÷1/4= 1/6×4= 2/31/9÷1/6=1/9×6= 2/32/27÷1/9=2/27×9= 2/3So the common ratio is 2/3
2/27*2/3= 4/81 is the next termFind the missing angles in the figure below.
Answers
Answer: The answer is A. Just check the only answer with y=z.
Answer:
First option is right.
Step-by-step explanation:
w=78 (vertically opposite angles)
l=82 (vertically opposite angles)
M= 180-64=116 (linear pair)
sorry im not sure how to find y and z
681/4 i dont know this
Answers
The right answer is 170.25
please see the attached picture for full solution
hope it helps
Good luck on your assignment
pls i need the help.
Answers
Answer:
3. 16a+24b
Step-by-step explanation:
I know this because I grouped the eqatiobs together
Answer:
#3. 16a + 24b
Step-by-step explanation:
P= 2( length plus width).
Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6
Answers
Answer:
I think that the answer is C D E
There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960
Answers
Answer:
20,480
Step-by-step explanation:
5x2^12
Answer:
20480
Step-by-step explanation:
got it right on edge
Which equation describes the circle with center (5, -1) and
radius 4?
Answers
Answer:
[tex](x-5)^2+(y+1)^2=4^2[/tex]
Step-by-step explanation:
The equation is: [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
[tex](x-5)^2+(y+1)^2=4^2[/tex]
reduce to simplest form -1/3-(-3/5)
Answers
Answer:
4/15
Step-by-step explanation:
-1/3-(-3/5)
Subtracting a negative is like adding
-1/3 + 3/5
We need to get a common denominator of 15
-1/3 *5/5 + 3/5 *3/3
-5/15 + 9/15
4/15
Answer:
4/15
Step-by-step explanation:
-1/3 + 3/5 (2 negatives make a positive)
Taking the lowest common multiple, we get:
= (- 5 + 9)/15
= 4/15
Hope this helps!
find f(3) for f(x)=3^x+3
Answers
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 3^(3) + 3
f(3) = 27 + 3
f(3) = 30
HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?
a.15.5 m
b.17.5 m
c.19.5 m
d.21.5 m
Answers
Answer:
The horizontal distance the ball travels before returning to the ground is 19.5 m
Step-by-step explanation:
Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]
Where u is the initial velocity
g is gravity
We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.
So, u = 15 m/s
[tex]\theta = 30^{\circ}[/tex]
g = 10
So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]
Hence The horizontal distance the ball travels before returning to the ground is 19.5 m
Question: Meghan has created a diagram of her city with her house, school, store, and gym identified. A. How far is it from the gym to the store? B. Meghan also wants to walk to get some exercise, rather than going to the gym. She decides to walk along arc AB. How far will she walk? Round to 3 decimal places.
Answers
Answer:
a). Distance between the gym and store 9.25 m
b). Meghan will walk 5.637 m along the arc AB.
Step-by-step explanation:
a). Theorem of intersecting chords inside the circle,
When two chords intersect each other in a circle multiplication of their segments are equal.
3×7 = 4a
a = [tex]\frac{21}{4}[/tex]
a = 5.25 m
Distance between the gym and store = 4 + 5.25
= 9.25 m
b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]
[tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]
= [tex]\frac{646\pi }{360}[/tex]
= 5.6374 m
≈ 5.637 m
Therefore, Meghan will walk 5.637 m along the arc AB.
What is the FIRST step in solving this equation? 4x + 6 = 20 *
Answers
Answer:
Subtract 6 from each side
Step-by-step explanation:
4x + 6 = 20
Subtract 6 from each side
4x + 6 -6= 20 -6
4x = 14
Answer:
[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]
Step-by-step explanation:
[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Bonita drove 8 miles from her home to the library, and then drove back. Graph A shows her distance from home during the trip. Graph B will show her distance from the library during the trip. Complete each statement about Graph B.
Answers
Can u give me the options for the last 2
the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a system of equations to represent the solution let X represent the width of the frame and it lives represent the length of the frame interpret the solution
Answers
Answer:
16 is the width 32 is the length
Step-by-step explanation:
L = 2x
96 = 2L + 2x Substitute the first equation into the second equation for L
96 = 2(2x) + 2x Multiply
96 = 4x + 2x Add
96 = 6x Divide both sides by 6
16 = x
Plug this into the first equation to solve for the length
L = 2(16) Multiply
L = 32
write a reply to this letter informing the immediate steps that would be taken to solve the problem.
complain against improper garbage collection.
I would like to bring into your attention a problem that is faced by the residence of this area .we have noticed that there is no propose schedule of collection of garbage for the past few months .the original schedule day to collect garbage is on every Friday but this seems to miss this day most of times.
because of that we have faced a lot of problems on rainy days there is a bad odour in an around the area and there is a risk of spreading of diseases .
so please be kind enough to look into this matter as soon as possible .
*will give the brainliest!!
Answers
CAN YOU PLEASE INBOX ME ??
I need help on these two questions please.
Answers
Answer:
They are similar
Step-by-step explanation:
6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.
Answers
Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find the
length of each diagonal.
a.about 86.4 cm and 54.2 cm
c.about 91.7 cm and 54.2 cm
b. about 91.7 cm and 44.6 cm
d. about 86.4 cm and 44.6 cm
Answers
Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Which sequence shows a pattern where each term is 1.5 times the previous term?
–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …
Answers
Answer:
-200, -300, -450, -675
The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A = -200 , -300 , -450 , -675 ...
The common ratio of the GP = second term / first term
On simplifying , we get
r = -300 / -200
r = 3/2
r = 1.5
Therefore , each term is 1.5 times the previous term
Hence , the GP is solved
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ7
2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answers
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
What is the probability of picking an orange marble and flipping tails?
Answers
Answer:
D
Step-by-step explanation:
The probability of orange marble is [tex]\frac{1}{7}[/tex]
Probability of tails is [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}*\frac{1}{7}=\frac{1}{14}[/tex]
In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.
Answers
Answer:
C
Step-by-step explanation:
I think
Nicole bought 0.54 kilograms of apples and 0.87 kilograms of oranges. How much fruit did
she buy in all?
kilograms
Answers
Answer:
1.41
Step-by-step explanation:
You add 0.54 by 0.87
Scientists in Maine estimates the 3 out of every 11 bears are born during the month of April predict how many bears are born in April out of 165 births
Answer fast plsss
Answers
rewrite the expression with a rational exponent as a radical expression.
Answers
Third option is the correct answer.
Answer:
[tex] \sqrt{5} [/tex]
Step-by-step explanation:
[tex] \huge \bigg( {5}^{ \frac{3}{4} } \bigg) ^{ \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{3}{4} \times \frac{2}{3} } \\ \\ \huge = {5}^{ \frac{6}{12} } \\ \\ \huge = {5}^{ \frac{1}{2} } \\ \\ \huge = \sqrt{5} [/tex]
80 POINTS!!!!
The table shows how much Eric earns for pruning trees. Write an equation that relates t, the number of trees Eric prunes to p, the amount he earns. Solve your equation to find how much Eric earns if he prunes 7 trees.
Answers
Answer:
Equation: 15t
Solution: 105
Step-by-step explanation:
You multiply 15 and 7 to get your solution.
The rise is the
change in a line. The run is the
change in a line.
horizontal
vertical
Answers
Answer:
Horizontal
Step-by-step explanation:
Answer:
1- vertical
2-horizontal
Step-by-step explanation:
Read the defitions! Hope this helped!
