Answers
Answer:
Step-by-step explanation:
Vertex of the given parabola = (1, -4)
Since, vertex form of a parabola is given by,
y = (x - h)² + k
Here (h, k) is the vertex
Now substitute the coordinates (1, -4) in the equation.
y = (x - 1)²- 4 [Vertex Form]
Further solve this equation,
y = x² - 2x + 1 - 4
y = x² - 2x - 3 [Standard form]
Further write this equation in the factored form,
y = x² - 3x + x - 3
y = x(x - 3) + 1(x - 3)
y = (x + 1)(x - 3) [Factored form]
Related Questions
What is the area of the polygon in square units?
Answers
Answer:
(d) 80 square units
Step-by-step explanation:
As with many composite area problems, this can be worked any of several ways. The attached shows trapezoid ABCE, from which triangle CDE can be removed to get the desired area.
The relevant formulas are ...
A = (1/2)(b1 +b2)h . . . . . . area of a trapezoid
A= (1/2)bh . . . . . . . . . . . . area of a triangle
__
Here, the trapezoid has bases 12 and 2, and height 12, so its area is ...
A = (1/2)(12 +2)(12) = 84 . . . . square units
The triangle has a base of 4 and a height of 2, so its area is ...
A = (1/2)(4)(2) = 4 . . . . square units
Then the area of the desired figure is ...
84 - 4 = 80 . . . . square units
The sum of two numbers is 68. Their difference is 15. Write a system of equations you could use to solve this problem.
Answers
Answer:
x+y=68
x-y=15
Step-by-step explanation:
A "sum" means that we will be using addition, while a "difference" indicates subtraction. Anytime we have two unknown numbers we generally use "x" and "y".
I would also appreciate anyone that can help w this :)
Answers
Answer:
Step-by-step explanation:
Each term is 4 more than the preceding term.
Common difference d = 4
nth term = a₁ + (n-1)d = -6 + (n-1)4
a₁₀ = -6 + 9⋅4 = 30
I’ll give Brainliest I need help please & thanks
Answers
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Filipe was playing with a triangle on a coordinate plane. The triangle's area is 24 square units. The largest circle he can fit in the triangle is centered at (0,0) and passes through the point (1.2,1.6) Approximately what percentage of the triangle does the circle cover?
Answers
Answer:
52.36%
Step-by-step explanation:
First, you need to find the radius of the circle. You can do this by using the Pythagorean theorem, which states a^2+b^2=c^2. In this case, a and b are equal to 1.2 and 1.6, and c is the radius of the circle. Plugging in we get 1.2^2+1.6^2=c^2 or 1.44+2.56=c^2 or 4=c^2. Finding the square root of both sides of the equation, we find that 2=c. Now that we have the radius, we can find the area of the circle. The area of a circle is expressed as πr^2, and plugging in 2 for r we get an area of 4π, or ~12.56637. Now all we do is divide 12,56637 by 24 and get what percentage of the area of the triangle the circle covers, which is roughly 0.5236, or 52.36%
Round 0.731 to the nearest hundredth.
Answers
Answer: 0.73
Step-by-step explanation:
Answer:0.73
Step-by-step explanation: none the answer is right
Can someone please help me !!
Answers
Answer:
(3a + 2)(a + 3)
Step-by-step explanation:
4. If the measures of angles A and B of triangle
ABC are each 2x + 5 and the measure of angle
C is 3x – 5, what is the measure of angle exterior
to angle A?
Answers
Answer:
5x
Step-by-step explanation:
. If the measures of angles A and B of triangle
ABC are each 2x + 5 and the measure of angle
C is 3x – 5, what is the measure of angle exterior
to angle A?
Using the theorem
The sum of interior angle of a triangle is equal to its exterior
Given the interior angles 2x+5 and 3x-5
Sum= 2x+5+3x-5
Sum = 2x+3x+5-5
Sum = 5x+0
Sum = 5x
Hence the measure of the exterior angle is 5x
A certain bacteria can double in 6 hours. How long will it
take the bacteria to increase from 20 to 140? (Hint: First find
the constant k)
Answers
Answer:
it can go to 160 on in 18 hours so the the answer could be 26 hours
Marks books has an area of 48 in.². The perimeter of the book is 52 inches. what are the dimensions of the book
Answers
Answer:
dimensions of the book are 2 in. by 24 in.
Step-by-step explanation:
I assume the book is a rectangle
Let w = the width
l = the length
A = lw = 48 P = 2w + 2l = 52
w + l = 26
l = 26 - w
w(26-w) =48
26w - [tex]w^{2}[/tex] = 48
[tex]w^{2} - 26 w + 48 = 0[/tex]
(w-2)(w -24) = 0
w = 2 or w = 24
if w = 2, then l = 26 - 2 = 24
if w = 24, then l = 26 - 24 = 2
So, the dimensions of the book are 2 in. by 24 in.
HURRRRYYYYY
9d + 6e =
Answers
Answer:
9d+16.309691
Step-by-step explanation:
9d+(6)(2.718282)
=9d+16.309691
There should be evaluated numbers? If not this is your answer!!
Answer:
9d + 6e=9d + 6e
Step-by-step explanation:
what is the value of 8 to the 4th power
Answers
Answer:
8 x 8 x 8 x 8 = 4096
Step-by-step explanation:
Its an exponent which means you multiply 8 by itself 4 times to get 4096.
Question
Type the forest answer in the box
A pack of 12 sedas costs $5,04 What is the unit rate in dollars per soda/
The unit rate in dollars per soda is
Answers
A box has a volume of 20 cubic inches. If the base has dimensions of 2 inches by 4 inches, what is the height of the box?
Answers
Answer:
h = 2.5 in
Step-by-step explanation:
v = bwh
20 = 2x4xh
h = 2.5 in
solve for x
a) -11
b) -10
c) 11
d) 10
Answers
Explanation:
4(10) + 11 = 51
5(10) + 1 = 51
The two angles are adjacent so they have to be equal
Hope this helps :)
3 2/3+ 5 1/2 .....................???
Answers
Answer:
9 1/6
Step-by-step explanation:
t
Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3). Determine the point of intersection of the medians, and state the coordinates
Answers
Answer:
(-5, 3)
Step-by-step explanation:
Let O(x, y) be the centroid of the triangle.
The median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are three medians in a triangle; and the medians of a triangle intersect at a point called the centroid.
The centroid of a triangle is gotten from the average of the x coordinates and the y coordinates of all the three vertices.
For Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3) and centroid O(x, y). Hence:
[tex]x=\frac{3 + (-7)+(-11)}{3}=-5\\\\y=\frac{-3 + 9 + 3}{3} =3[/tex]
The centroid is at (-5, 3)
plss. pa answers ?
thanks po
Answers
Answer:
Graph 3Line starting at x = -2
Domain: x ≥ -2Range: y ≥ 0Graph 4Vertical line
Domain: x = 3Range: y = any real numberGraph 5Quadratic function with negative leading coefficient and max value of 3
Domain: x = any real numberRange: y ≤ 3Graph 6Curve with non-negative domain and min value of -2
Domain: x ≥ 0Range: y ≥ -2Graph 7Line with no restriction
Domain: x = any real numberRange: y = any real numberGraph 8Quadratic function with positive leading coefficient and min value of 4
Domain: x = any real numberRange: y ≥ 4Graph 9Parabola with restriction at x = -4
Domain: x = any real number except -4Range: y = any real numberGraph 10Square root function with star point (2, 0)
Domain: x ≥ 2Range: y ≥ 0The model below can be used to find the quotient of one over two divided by one over six. What is the quotient?
A number line from 0 to 1 that is divided into sixths is drawn. Each tick mark is labeled. A tick mark to show the fraction one over two is also shown and labeled. The space between 0 and the first tick mark is circled.
6
3
7 over 8
6 over 7
Answers
Answer:
i like it is 1/2 can you make smaller hope this help
Step-by-step explanation:
Question 6
An environmental group volunteers to pick up trash along a road that is
Brady's claim correct?
milelong. The volunteers divide the road to 4 sections adams that each section of the roads
5
4
Yes How
Answers
Answer:
23
Step-by-step explanation:
is the answer to the problem
fleas have six legs are five fleas on the dog in 3 fleas on the cat how many legs are there altogether
Answers
Answer: 90
Step-by-step explanation:
Answer:
48 legs
Step-by-step explanation:
5 times 6 equals 30
3 times 6 equals 18
Tell whether the rates are equivalent. Justify your answer.
60 centimeters every 2.5 years
30 centimeters every 15 months10
Answers
Answer:
30 centimeters every 15 months is correct the other one isnt.
Step-by-step explanation:
The rates are equivalent, and we can justify this by converting the time units to make a valid comparison.
To determine if the rates are equivalent, we need to compare the ratios of centimeters to time between the two rates.
Rate 1: 60 centimeters every 2.5 years
Rate 2: 30 centimeters every 15 months
Let's convert both rates to a common time unit to make a valid comparison. We can convert years to months or months to years.
Converting Rate 1:
2.5 years * 12 months/year = 30 months
Rate 1 becomes 60 centimeters every 30 months.
Now, let's compare the rates:
Rate 1: 60 centimeters every 30 months
Rate 2: 30 centimeters every 15 months
The rates are equivalent because the ratios of centimeters to time are the same for both rates. In both cases, the ratio is 2 centimeters per month.
Therefore, the rates are equivalent, and we can justify this by converting the time units to make a valid comparison.
To know more about "rates." here
https://brainly.com/question/29451175
#SPJ2
Evaluate 18 + 2y, when y= 7
Answers
Answer:
32
Step-by-step explanation:
18 +2(7).
2 x 7 = 14
18 + 14 = 32.
steps for gcf of 40x, 60x
Answers
2. Find the factors of 60.
3. You should come up with a common factor which is a common number listed for both 40 and 60.
Answer:
20x
Step-by-step explanation:
1) Identify commonalities in the numbers at hand (x + 40 divisible by 1, 2, 4, 5, 8, 10, 20, 40 and 60 divisible by 1,2,3,4,5,6,10,12,15,20,30,60) overlap is x and 1,2,4,5,10,20) 20 is the highest factor and x is the only factor.
2) put them together GCF: 20x
4 3/8+ 2 7/12
Alguém sabe a resposta
Answers
Answer:
6 23/24
Step-by-step explanation:
First, find the least common factor of 8 and 12, the denominators.
8 16 24
12 24
24, is now the current denominnator,
8x 3 = 24
Now you go do it to the numerator, 3 x 3 = 9
9/24 + ?
Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14
4 9/24 + 2 14/24
Now add the front numbers to make 6, than add the numerators and keep the denominator.
6 23/24, since you can not simplify this fraction, this is the answer.
How do I find out the answer for this equation?
1/72 x 648
Answers
Answer:
The answer is 9
Step-by-step explanation:
Multiplying by 1/72 is the same as dividing by 72. When you multiply 648 by 1/72, think of it as multiplying
[tex]\frac{648}{1}[/tex] x [tex]\frac{1}{72}[/tex] which equals...[tex]\frac{648}{72}[/tex]. If you have a calculator, at that point, you can just divide 648 by 72. If not, you can use standard division.
Hope this helps!
In AVWX, v = 21 cm, w = 64 cm and X=23°. Find the length of x, to the nearest
centimeter.
Answers
Answer:45cm
Step-by-step explanation:delta
what's the answer ?
[tex] \frac{ \sqrt{225} }{ \sqrt{} 25} [/tex]
Answers
Answer:
Hello.....
15/5
Step-by-step explanation:
thanks
Answer:
3
Step-by-step explanation:
here's your solution
=>. first u have to find out the root of 225
which is 15
=> and also root of 15 which is 5
=> now,we have to divide 15 by 5
=> hence, answer is 3
hope it helps
A restaurant is working at 25 percent capacity and is allowed to have 150 people inside.
How many people will the restaurant be able to allow in when working at 100 percent?
Answers
Answer:
600 People
Step-by-step explanation:
25%= 150
25%x4=100%
150x4 = 600
can you please help?
Answers
Answer:
pretty sure its C
Step-by-step explanation: