Answer:
D) [tex](-2,-9)[/tex]
Step-by-step explanation:
Vertex Form of a Vertical Parabola:
[tex]y=a(x-h)^2+k[/tex]
Vertex -> [tex](h,k)[/tex]
Axis of Symmetry -> [tex]x=h[/tex]
Vertical Scale Factor -> [tex]a[/tex]
To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].
The coordinates of the vertex of the graph is (-2, -9).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
x² + 4x - 5
Given that axis of symmetry of the function is x = -2.
So the x coordinate of the vertex = -2.
y coordinates = f(-2) = 4 - 8 - 5 = -9
Hence the vertex is (-2, -9).
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What is the factorization of the trinomial below?
2x2 + 11x + 12
O A. (2x + 1)(x+12)
O B. (2x+3)(x + 4)
O C. (2x + 4)(x+3)
O D. (2x+6)(x + 2)
Answer:
O B. (2x+3)(x + 4)
Step-by-step explanation:
[tex]2x^{2} +11x+12[/tex]
[tex]2x^{2} +8x+3x+12[/tex]
[tex]2x(x+4)+3(x+4)[/tex]
[tex](2x+3)(x+4)[/tex]
WILL MARK BRAINLIEST!!!!!find the length of AC
Answer:
20
Step-by-step explanation:
a²+b²=c²
25²-15²=b²
625-225=b²
400=b²
√400=√b²
20=b
hey again can u help me with this
Answer:
option C
Step-by-step explanation:
We will take 2 coordinates from the graph and Find the equation of the line.
Let the coordinates be : ( 0, 1) and (1, 3)
step 1 : find slope
[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]
Step 2 : equation of the line :
[tex]( y - y_1) = m (x- x_1)[/tex]
[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]
Therefore, y = 2x + 1 represent the equation of the line.
Answer:
C
Step-by-step explanation:
You need to solve for y = mx + b
You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have
y = mx + 1 so far.
Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.
The clearest point I can see is (-2,-3) which means that
x = -2
y = - 3
Put that into the equation and solve for m.
-3 = m(-2) + 1 Subtract 1 from both sides
-3-1 = m(-2) Combine
-4 = -2 m Divide both sides by - 2
-4/-2 = m
m = 2
Answer
only a and c are real choices. That's because m = 2 in both cases.
The equation we got is y = 2x + 1 which is c
8. Find the area of the regular polygon.
Answer:
To find the area of a regular hexagon, or any regular polygon, we use the formula that says Area = one-half the product of the apothem and perimeter. As shown below, this means that we must find the perimeter (distance all the way around the hexagon) and the measure of the apothem using right triangles and trigonometry. Area of a Hexagon
Step-by-step explanation:
4 x − 3 x + 2 y (simplify)
[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
What is the area of the sector that is not shaded?
0 12 tt units
O 24 tt units?
0 120rt units
O 144rt units?
The area of the sector that is not shaded is 120π units²
Option C is the correct answer
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
The circle has 360°.
This can be written as,
Area = πr² x 360/360
Now,
The area of the not-shaded part has (360 - 60)°
So,
Area = πr² x 300/360
Now,
r = 12 units
Area = π x 12 x 12 x 300/360
Area = 120π units²
Thus,
The area of the sector that is not shaded is 120π units²
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What’s the answer please.
Answer:
[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]
Explanation :
is down below in the picture
Please give me brainiest!!
Someone please help me ASAP!!
Answer:
B' = (-6,6)
Step-by-step explanation:
The coordinates of B are (-2,2)
If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)
group the like terms separately? 3v^5-10v^2-12v^5+14v^2
assssssssssssssssssssssssssssssssss
Answer:
15, 9, 3n
Step-by-step explanation:
Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls
Answer:
What math game is this?
Oh and this guy is correct.
Step-by-step explanation:
what is this app and why are you reading this
Find the gradient of the line y= -4x + 5
Answer:
m = -4
Step-by-step explanation:
The given y= -4x + 5 exactly matches the format of the slope-intercept equation y = mx + b.
Thus, the gradient (slope) of the given line is -4.
need help ASAP thank you :)
Jackie bought an iphone for $200. Find the total
cost including a 7% sales tax,
Find 7% of 200
7% = 7/100
Divide 7 by 100
7/100
= 7 ÷ 100
= 0.07
Multiply 0.07 to 200
0.07 × 200
= 14
Add 14 to 200
200 + 14
= 214
Therefore, the total cost of the iphone including sales tax is $ 214
please help i dont understand this
Answer:
yeah me too
Step-by-step explanation:
Raffle tickets cost $6 for 5 tickets. What is the price of 1 ticket? How many tickets can you get for $90
Answer:
1 ticket is worth 1.2$
90$ gets you 75 tickets
Step-by-step explanation:
t=ticket(s)
6=5t
6/5=t
90/(1.2)=75
Answer:
1 ticket = $1.2
Step-by-step explanation:
They are selling lollipops for $0.50 and candy bars for $1.50
Lydia buys 6 lollipops and some candy bars.
If she spends $15.00 in total, how many candy bars, b, did Lydia buy?
pls solve them all pls
Answer:
Step-by-step explanation:
Hope this helps u !!
Write the equation of the line that passes through the points (-8,-1) and (−2,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3
if gon had 40 tubs of orange juice then killua gave gon 29348211239587316837637869437637689767609 more tubs of orange juice, how many tubs of orange juice would gon have?
Answer:
It would be 2.9348211e+40
Step-by-step explanation:
Use a calculator
Select the correct answer.
A triangle with vertices at A(0, 0), BIO, 4), and C16, 0) is dilated to yield a triangle with vertices at Ato, O), BIO, 10), and C[15, 0). The origin is the center of dilation. What is the
scale factor of the dilation?
OA 1.5
OB.
2
OC. 2.5
OD. 3
Answer:
c. 2.5
Step-by-step explanation:
4×2.5 => 10
6×2.5 => 15
so scale factor = 2.5
What is the simplified form of [tex]3\sqrt{135}[/tex]?
The answer is: [tex]9\sqrt{15}[/tex]
Semi easy-which boxplot represent the 5 number summary
Solve c =(a² + 3b)/4 for b.
Bruv take all my points I literally blow at math :'(
Answer:
[tex]b=\frac{4c-a^{2} }{3}[/tex]
Step-by-step explanation:
First: multiply both sides by 4. 4 times c is 4c and the other sides cancels out as you are doing the inverse operation of division
Then, you have [tex]4c=a^{2} +3b[/tex]
Subtract both sides by a squared
DO NOT TAKE THE SQUARE ROOT! This is because it is a squared plus 3b so you have to do the inverse of addition
From that you get [tex]4c-a^{2} =3b[/tex]
Finally, divide both sides by 3.
You get [tex]b=\frac{4c-a^{2} }{3}[/tex]
Which solution finds the value of x in the triangle below?
Answer: B
Step-by-step explanation:
i’ll give you what eva you like
Answer:
Number of additional inches= x
Number of additional topping= y
Total cost= 8+1.5(x)+0.75(y)
cost of pizza= 8+1.5x+0.75y-----------------------
hope it helps...
have a great day!!
Can someone help me? It's urgent and thank you!
Answer:
-6 and -1
Step-by-step explanation:
The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]
Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]
It's a quadratic equation
Thus, let us calculate the discriminant Δ
Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]
the discriminant is greater than 0, so the equation has two solutions
[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex] or [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]
the excluded values are -6 and -1
In the graph above, what's the distance between (0, 2) and (5, 2)? Question 16 options: A) 2 units B) 5 units C) –5 units D) 4 units
Answer:
B) 5 units
Step-by-step explanation:
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
What is the distance between two points?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The two pints are given below.
(0, 2) and (5, 2)
Then the distance between these points (0, 2) and (5, 2) will be given as,
D² = (5 - 0)² + (2 - 2)²
D² = 5²
D = 5 units
The distance between these points (0, 2) and (5, 2) will be 5 units. Then the correct option is B.
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if h(x) =5 for the function h(x) =2x+1 what is the value of x
Answer:
h (x) = 5
h (x) = 2x + 1
h (x) = 2 x 2 + 1 = 5
x = 2
Answer:
x = 2
Step-by-step explanation:
Its given that h(x) = 2x + 1
But its also given that h(x) = 5
[tex]=> h(x) = 2x + 1 = 5[/tex]
[tex]=> 2x + 1 = 5[/tex]
Solve the equation.
Substract 1 from both the sides.[tex]=> 2x + 1 - 1 = 5 - 1[/tex]
[tex]=> 2x = 4[/tex]
Divide both the sides by 2.[tex]=> \frac{2x}{2} = \frac{4}{2}[/tex]
[tex]=> x = 2[/tex]
Given ΔUTS with coordinates U(-4,-3), T(-2,1), S(0,-2), rotate the figure 90° Counterclockwise about the origin
Question 8 options:
U'(-2,1) T'(-4,-2) S'(0,0)
U'(4,3) T'(2,-1) S'(0,2)
U'(3,-4) T'(-1,-2) S'(2,0)
U'(-2,-2) T'(0,2) S'(2,-1)
Answer:
U'(3,-4) T'(-1,-2) S'(2,0)
Step-by-step explanation:
Firstly, we need the general rotation method
We have this as;
(x,y) to (-y,x)
So;
U (-4,-3) becomes U’ (3,-4)
T(-2,1) becomes T’(-1,-2)
S(0,-2) becomes S’ (2,0)
