Answer:
Vertex means the highest or lowest coordinate in a parabola (and also absolute value)
Here we see the lowest point is (-2,0), so the vertex is (-2,0)
A standard quadratic equation is written as a(x-h)^2+k
h and k are the vertex coordinate h is x and k is y
so by finding the vertex we found that h = -2 and k = 0
so you plug it in
a(x-(-2))^2+0=y
a(x+2)^2=y
when finding a, you take a random point in the graph and plug it in and solve it
lets take (-1,1)
so its a(-1+2)^2 = 1
a(1)^2 = 1
a=1
so the equation will be 1(x+2)^2 = y or (x+2)^2=y (don't need to write the 1)
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
Which of the following expressions represents the product below?
(4 i+ 3)(5 - 2i)
7 + 14i
15 +6i
-7 +26i
23 + 14i
Answer:
[tex](4 i+ 3)(5 - 2i)[/tex]
[tex]= - {8i}^{2} + 20i + 15 - 6i[/tex]
[tex]= - {8i}^{2} + 14i + 15 [/tex]
What triangles can you make out of a rhombus
Answer:
Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.
Hope it helps ya mate! please give me brainliest!.ت︎ ت︎
PLEASE HELP...
Find the area of the composite shape. Show your work for BRAINLIST and if it’s correct
10.38
i multiplied each number and the answers that i got i added them to get the area
Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
[tex]\small\purple\bull[/tex] Diameter of circle = 18 inTo Find :
[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]
[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]
[tex]\implies{\sf{Radius = 9 \: in}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]
Hence, the radius of circle is 9 in.
[tex]\rule{200}2[/tex]
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]
Hence, the area of circle is 254.34 in².
[tex]\rule{300}{1.5}[/tex]
PLEASE HELP I NEED THIS ASAP
(A)
Step-by-step explanation:
Multiply both sides by (x + 3)(x - 3)
4(x + 3) + 2 = (x- 3)
4x + 12 + 2 = x - 3
3x = - 17
or
x = -17/3
Solve each equation, explain how you figured it out. (No fake answers!!Proper ones pleaser!!)
A. 25 - 3x = 40
B. 2 (x - 10) = -4
Answer:
A. x= -5
B. x= 8
Step-by-step explanation:
A. 25 - 3x = 40
-3x = 40 - 25
-3x = 15
x= 15/-3
x= -5
B. 2 (x-10) = -4
x-10 = -4/2
x-10 = -2
x = 8
A. 25 - 3x = 40
-3x = 40 - 25
= 15
-x = 15/3
x = -5
Checking
25 - 3*-5 = 40
25 + 15 = 40
40 = 40
LHS = RHS
B. 2(x-10) = -4
2x - 20 = -4
2x = -4 +20
x = 16/2 = 8
Hope u understand
Please mark as the brainliest
Thank You
Find the surface area of the prism.
A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
If tan0 = 4/11, then what will tan(90- 0) be? Please show work
Answer:
11/4
Step-by-step explanation:
tan(90-x)=cot(x) by cofunction identity
tan(90-x) is therefore the reciprocal value of tan(x) since tan(x) is the reciprocal of cot(x) or vice versa.
tan(90-x)=11/4 since tan(x)=4/11
Answer:
11/4
Step-by-step explanation:
[tex]\tan(90-\theta) = \frac{\sin(90-\theta)}{\cos(90-\theta)} = \frac{\cos\theta}{\sin\theta}=\cot\theta = \frac{1}{\tan\theta} = \frac{11}{4}[/tex].
hii! please help asap. i’ll give brainliest
Answer:
4
Step-by-step explanation:
The numbers you have are 2, 2, 3, 4, 8, 8, 8
First, cross out 2 on the very left and 8 on the very right.
Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
solve the system of equations y=8x+5 y=6x+25
Answer:
(10,85)
Step-by-step explanation:
x=10
y=85
How many 1/4 pound packages of cheese can the deli make with 12 pounds of cheese
Answer:
48 1/4 packages
Step-by-step explanation:
joe has a bicycle with a front wheel that is 2 feet in diameter. how far does joe travel if his wheel turns exactly 100 complete revolutions in one directions?
314 feet
628 feet
1256 feet
6280 feet
Given:
The diameter of the wheel is 2 feet.
Number of revolution = 100
To find:
The total distance covered by the bicycle.
Solution:
The circumference of a circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius of the circle.
The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.
Putting [tex]\pi =3.14, r=1[/tex] in the above formula, we get
[tex]C=2(3.14)(1)[/tex]
[tex]C=6.28[/tex]
It means the distance covered by the wheel in one revolution is 6.28 feet.
Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:
[tex]6.28\times 100=628[/tex]
The total distance covered by the bicycle in 100 revolution is 628 feet.
Therefore, the correct option is B.
PLEASE HELP FOR FINALS!!!!!!
Let sd be the speed (in meters per second) of an object after t seconds of motion.
Explain the meaning of each statement.
3. s (0) = 9
b. s(9) =k
c. s(10) > (20)
Answer:
If I say to you that we are travelling along at a "constant" speed of 25 m/s... a. ... So every seem 28 mis covend. b. What does the "m/s" after the number 25 mean? ... The object's motion will change - au acceleration will occur. 9. A car is moving ... c. What do you think a graph of velocity versus time would look like? Sketch it.
Step-by-step explanation:
Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.
Answer:
Step-by-step explanation:
x-intercept: Set y = 0 and solve for x:
0 = mx + b, or mx = -b, or x = -b/m. x-intercept is then (-b/m, 0)
y-intercept: Set x = 0 and solve for y: y = m(0) + b, or y = b. y-intercept is then
(0, b).
Find h.
10 in.
h = [?] in.
5.
4 in.
PLEASE ILL DO ANYTHING
Answer:[tex]h=\sqrt{96}in.[/tex]
Step-by-step explanation:
.
What is the surface area and volume of this triangular prism?
Pply the converse of the pythagorean theorem to determine if it's a right triangle. Is the triangle a right triangle? No, 92+402=412. No, 9 squared + 40 squared not-equals 41 squared Yes, 92+402=412. Yes, 9 squared + 40 squared not-equals 41 squared
Answer:
Yes, 9^2+40^2=41^2
Step-by-step explanation:
From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides
From what we have , the side lengths are 9, 40 and 41
As we can see, 41 is the longest side length and that makes it the hypotenuse
The square of the two other sides is 40^2 + 9^2 = 1,681
Also, 41^2 = 1,681
As we can see, the sum of the squares equal the square of the hypotenuse
Since this follows the theorem, we can conclude that the triangle is a right triangle
Answer:
C, Yes, 92+402=412.
Step-by-step explanation:
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)
Step-by-step explanation:
I need help brainy pls!!!!!!!!
Answer:
its the first one
Step-by-step explanation:
im in 8th grade and im like a 11th grader bc im smart :)
01:4
What is the median of this set of data?
1, 2, 5, 6, 9
0
1
5
8
9
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation:
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation:
At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.
Answer: 6% decrease
Step-by-step explanation:
Answer:
6% decrease
Step-by-step explanation:
Given that,
Initial number of students = 1200
At the end of the year there were 1128 students
We need to find the percent of change in enrollment.
Change in enrollment = 1200 - 1128 = 72
The percentage of change is :
[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]
So, there is a decrease of 6% in number of students.
If sine > 0 and tane < 0 then:
Answer:
its A
Step-by-step explanation:
D
A
Which point is the
orthocenter of AABC?
F
E
B
A. Point D
B. Point E
C. Point F
Answer:
the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle
A rectangle measures 15 2 inches by 4 3 inches. What is its area?
Answer:
65.36
Step-by-step explanation:
15.2 x 4.3 = 65.36
A rectangular prism and its net are shown below.
(All lengths are in yards.)
Answer:
C=2 D=2
SA=
Step-by-step explanation:
Surface Area (SA)= 2(wl+hl+hw)
2(2×5+9×5+9×2)
=146 yards
In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.
Answer:
I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer
A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?
Answer:
60 feet from the center.
Step-by-step explanation:
As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:
c² = a² - b² (1)
Where:
c: Length from center to foci.
a: length of half the hall.
b: length of the ceiling.
Replacing the given data into (1) we have:
c² = (130/2)² - (25)²
c = √65² - 500
c = √3600
c = 60 feetHope this helps
A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
which number is irrational?
A) square root 12
B) square root 36
C) square foot 64
D) square root 144
on a venn diagram shade the region
a'n(bnc)
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c: [tex]b \cap c[/tex]. (green "football")
image2 shows the complement of a (outside a): [tex]a'[/tex] (yellow)
image3 shows the intersection of those sets: [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it") :-)