Find the vertex of the parabola y = 2x2 + 10x + 8
Answer:
The vertex is -5/2 and -9/2
Step-by-step explanation:
I looked it up on math
way
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in the form (x, y);
a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.
The general form of a parabola is written in the form ax²+bx+c, which is a quadratic equation. While the vertex form of the parabola is written as y=a(x-h)² + k.
Given that the equation of the parabola is y = 2x² + 10x + 8. Now if we compare the general equation of the parabola with ax²+bx+c, the value of a, b, and c will be 2, 10, and 8, respectively.
Further, the vertex of the parabola can be written as,
h =−b/2a
h = -10 / 2(2)
h = -10/4
h = -2.5
k = -(b² - 4ac) / 4a
k = -[10² - 4(2)(8)] / 4(2)
k = (100 - 64) / 8
k = -36/8
k = -4.5
Hence, the vertex of the parabola y = 2x² + 10x + 8 is (-2.5, -4.5).
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can u pls help me i need help
Answer:
cbbbbb
Step-by-step explanation:
Do not really speak Spanish need help
A decorative clock for a hotel lobby has a radius of 7 feet. What is the approximate area, in square feet, of the clock?
What about a clock with a diameter of 12 feet?
Answer:
153.94
Step-by-step explanation:
which step comes first -b-2<8
Answer:
Step-by-step explanation:
Alright so the step that comes first is adding two to both sides.
Let me show you,
Step 1
-b-2<8 Add 2 to both sides
-b<10
Then you divide the sides by -1
-b<10
b>-10
Find the value of y
Answer:
y=3/2
Step-by-step explanation:
.......................
What is the value of x
A 19
B 22
C 67
D71
Answer:
Step-by-step explanation:
(2x+4)° + 42° = 180°
x = 67°
WRITE AN EXPRESSION WITH ATLEAST FIVE TERMS THAT SIMPLIFIES TO 9X+25
Answer: 19 + 11x - 7 - 2x + 13
Step-by-step explanation:
19 + 11x - 7 - 2x + 13
Bring like terms together
11x - 2x + 19 - 7 + 13
9x + 12 + 13
9x + 25
What is the lowest common denominator of the following two fractions?
3/4 and 1/5
Answer:
20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
A coupon discounts the total grocery bill by $3.50. How many dollars g is the bill after the discount if the bill before the discount is b dollars? Write an equation to represents the situation.
Answer:
g=b-3.50
Step-by-step explanation:
Find the volume of a triangular prism that has a triangular base of 14 and height of 17 with a prism height of 5.
What’s the area of this parallelogram
Answer:
360%
if not u question isnt correct
hope this might help you
Answer: Multiply the base by the height
for example A=B x H
Step-by-step explanation:
A geometric figure is dilated by a scale factor of 1.5 with the origin as the center of dilation. Which of the following sentences best describes this dilation?
The x- and y-coordinates of every point of the figure is multiplied by 1.5.
Not here.
The y-coordinate of every point of the figure is multiplied by 1.5.
The x-coordinate of every point of the figure is multiplied by 1.5.
Answer:
Step-by-step explanation:
The x and y points are multiplied by 1.5
See the graph
Notice that if you start with (4,6) and dilate by a scale of 1.5 then the final point is (6,9)
The slope of these two points (if they were on a line should be 1.5
x2 = 6
x1 = 4
y2 = 9
y1 = 6
m = (9 - 6)/(6 - 4)
m = 3 / 2
m = 1.5 which is what it should be.
The x-coordinate of every point of the figure is multiplied by 1.5.
The scale factor is 1.5, and the center of dilation is the origin (0, 0).
When the figure is dilated by a scale factor of 1.5 with the origin as the center, it means that each point's x-coordinate and y-coordinate are separately multiplied by 1.5.
The y-coordinate of every point of the figure is multiplied by 1.5 is not correct the reason is that in this specific dilation scenario, only the x-coordinate is multiplied by 1.5, while the y-coordinate remains the same. The origin as the center of dilation means that the points move away from or towards the origin, maintaining the same vertical distance.
Therefore, the correct description is "The x-coordinate of every point of the figure is multiplied by 1.5."
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y = 5x - 9
y - 5x = 4
(3,2)
no solution
an infinite number of solutions
Answer:
(3, 2)
2 = 5 x 3 - 9
= 15 - 9
= 6
2 is not = 6
y = 5x - 9
y - 5x = -9
y - 5x = 4
Use elimination
-15
ANSWER: So there are no solutions
factor 9x-12xy plss help thx
Find the volume of the cone. Use 3.14 for pi.
Answer:
V=37.68
Step-by-step explanation:
The formula for the volume of a cone is V=1/3πr^2h. First, plug the values in to the varibles to get V=1/3π3^2(4), since 3 is the radius and 4 is the height. Now simplify the equation.
V=1/3π3^2(4)
V=1/3π9(4)
V=1/3π36
Multiply 36 by pi, which the equation wants you to use as 3.14.
V=1/3(113.04)
Now simplify to get V=37.68.
I hope this helps! Have a great day/night!
The diagram shows three angles at a point. 168 x 123. Work out the value of x
Answer:
SOMEONE ANSWER THIS PLSSSSSSSSS :D
Step-by-step explanation:
a sequence of numbers is 8, 15, 22, 29. explain why 96 will not be a term in this sequence?
Answer:
It want touch/Connect Either way the closest it can get was 99
8, 15, 22, 29, 36, 43, 50, 57, 64, 71, 78, 85, 92, 99.
Which ones are true?
Answer:
The last three answers.
Step-by-step explanation:
Keisha is saving money to buy a game. So far she has saved $24, which is three-fourths of the total cost of the game. How much does the game cost?
HELPPPPP
Answer:
32 dollars is the cost of the total game
Step-by-step explanation:
24 divided by 3 is 8
8 times 4 is 32
Expand and simplify 4(2x +7) – 3(x + 5)
Answer:
The answers is 5x + 13
It Equal to 5x + 13
Please guy help me I will mark you as brainliest if you give me a good answer !!
You are selling candy bars for
$2.50 each. The cost of those
candy bars was $1.25 plus a setup
fee of $200 for manufacturing.
1) what is the profit from selling 220 candy bars?
Answer: 75 dollars
Step-by-step explanation:
220 times 2.5 is 550 which means you make 550 dollars. However, it cost 4575 dollars to make the candy bars because 220 times 1.25 is 275 and 275+200 is 475. You have to subtract 475 from 550 to get your answer which is 75 dollars.
Answer:
$75
Step-by-step explanation:
multiply total bars by cost 275+ 200=475
multiply total bars by sale price =550
Given there's 5 red balls and 2 blue balls. What's the probability that after two picks we have a red ball and a blue ball
Answer:
the answer is 58 dear because there he couldn't figure out what he meant
In ΔSTU, t = 34 cm, u = 16 cm and ∠S=56°. Find the length of s, to the nearest centimeter.
Answer:
28
Step-by-step explanation:
a^2=b^2+c^2-2bc\cos A
a
2
=b
2
+c
2
−2bccosA
From reference sheet.
s^2 = 34^2+16^2-2(34)(16)\cos 56
s
2
=34
2
+16
2
−2(34)(16)cos56
Plug in values.
s^2 = 1156+256-2(34)(16)(0.559193)
s
2
=1156+256−2(34)(16)(0.559193)
Square and find cosine.
s^2 = 1156+256-608.40188
s
2
=1156+256−608.40188
Multiply.
s^2 = 803.59812
s
2
=803.59812
Add.
s=\sqrt{803.59812} \approx28.348 \approx28
s=
803.59812
≈28.348≈28
What is the equation of a line that goes THROUGH (-2, 3) and is PERPENDICULAR to the line
y = -3x+2
The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?
Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.
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Name the angle pair relationship for the pair of angles in the picture.
Answer:
Supplementary
Step-by-step explanation:
These angles are on the same line, they add up to 180
Work out the size of obtuse angle DOF, giving a reason for your answer.
Answer:
104
This is because angle at the center is twice the angle at the circumference
Step-by-step explanation:
104 is the size of obtuse angle DOF because the angle at the center is twice the angle at the circumference.
What is an obtuse angle?An obtuse angle is any angle greater than 90 °: Straight angle is a measurement angle equal to 180 °: Zero angles is a measurement angle equal to 0 °: Complementary angle is the angle at which the sum of the measurements is 90 °: Complementary angles are the following angles: The total dimensions are 180 °.
Now we know that angles below 180 degrees and above 90 degrees are obtuse. Examples of bluntness include 110 °, 135 °, 150 °, 179 °, 91 °. Therefore, all angles in the range of 90 ° to 180 ° are obtuse.
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Can someone please help me on this???
Answer:
8x-17+63+3x+2=180(sum of triangle )
Step-by-step explanation:
11x-48=180
11x=180+48
11x=228
X=228÷11
X=20.72
Answer:
x=12
Step-by-step explanation:
The angles of a triangle add up to 180
63+8x-17+3x+2=180
46+2+8x+3x=180
48+11x=180
11x=132
x=12
6 3/7 as a improper fraction
Answer:
45/7
Step-by-step explanation:
6 × 7 = 42 + 3 = 45
45/7
good luck i hope this helps :)
Answer: 45/7
Step-by-step explanation:
Multiply the denominator by the whole number
7*6
Add the answer from Step 1 to the numerator
42+3=45
Write answer from Step 2 over the denominator
45/7
In decimal form:
6.42