Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
Pls, help me with this math question
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
one solution of x^2 - 64 = 0 is 8. what is the other solution
Answer:
- 8
Step-by-step explanation:
Given
x² - 64 = 0 ( add 64 to both sides )
x² = 64 ( take the square root of both sides )
x = ± [tex]\sqrt{64}[/tex] = ± 8
Solutions are x = 8 and x = - 8
Find the circumference of the circle to the nearest hundredth
11cm
Question: Find the circumference of the circle to the nearest hundredth
d = 11cm
Answer:
34.54 cm
Step-by-step explanation:
Applying,
P = πd...................... Equation 1
Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie
From the question
Given: d = 11 cm
Constant: π = 3.14
Substitute these values into equation 1
P = (3.14×11)
P = 34.54 cm
Laura lleno su pecera hasta la mitad 40 cm de altura 60 cm de ancho 20 cm dekargo cuanto espacio ocupa la pecera
Answer:
La pecera ocupa 48.000 centímetros cúbicos de espacio.
Step-by-step explanation:
Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:
40 x 60 x 20 = X
2400 x 20 = X
48000 = X
Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation:
PLEASE HELP I AM BEGGING YOU EXTRA POINTS AND BRAINLIEST I DONT UNDERSTAND NO WORK JUST ANSWER :)!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
1. x > -3
2. 8 > 0.5
3. x < -4
6. x < 2
7. Yes
8. No
9. Yes
10. Yes
1. p=packs of gum
inequality = 35 > 10+2p
Benny can buy 6 packs of gum.
The height h and the base area B of a cylinder are given. Find the volume of the cylinder. Write your answer in terms of it. h=2 units B=25pi symbol square units
here's the solution,
[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]
so,
=》
[tex]v = 25\pi \times 2[/tex]
=》
[tex]v = 50\pi[/tex]
if you solve for π then the value will be :
157but in terms of π the value will be :
50 πThe volume of the cylinder is 157 unit³.
What is volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Given: B= 25π, h= 2 units
Base area= 25π
πr²= 25π
r²=25
r=±5 units
Now, Volume of cylinder= πr²h
= 3.14* 5* 5* 2
= 157 unit³
Hence, the volume of cylinder is 157 unit³.
Learn more about volume of cylinder here:
https://brainly.com/question/16134180
#SPJ2
The circumference of a circular painting is 43.96 feet. What is the diameter of the painting? Use 3.14 for π and do not round your answer.
Answer:
14 feet
Step-by-step explanation:
c = πd
Plug in the givens
43.96 = 3.14d
Divide both sides by 3.14
14 = d
Answer:
Diameter = circumference ÷π
43. 96÷3. 14 =14 feet
Actividades.
Iniciamos la clase leyendo atentamente la
siguiente situación
Joaquin compró un tanque para agua que tiene
forma de prisma rectangular, cuyas dimensiones
son √5m, √6m y √ 10m
¿Cual es el volumen del tanque de agua?
. Ancho- √5m
Largo - √6m
Altura - √10m
Answer:
ancho de ese culotote
Step-by-step explanation:
Find the area of the given regular polygon
Round your answer to the nearest tenth, if necessary.
A. 221.7
B. 665.1
C. 280.6
D. 2660.4
Answer:
A.221.7Step-by-step explanation:
god bless
[tex]a[/tex]
Three boys were playing balls. Ben's ball bounced eight more times than Menard's . Menard's ball bounced half as many times as Diego's. Diego's ball bounced eight times. How many times did Ben's ball bounced?
Answer:
12 bounce
Step-by-step explanation:
Let :
Number of Menard's bounce = x
Ben's bounce = x + 8
Diego's bounce = 2x
If Diego's bounce = 8
Then ;
2x = 8
x = 8/2
x = 4
Ben's bounce = x + 8
Ben's bounce = 4 + 8 = 12
The fun guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The game bank charges an annual fee of $20 plus $2.50 per game. for how many game rentals will the cost be the same at both stores?
HELP ASAP!! WILL MARK U AS BRAINLIEST!!
Answer:
a Answers is A
b Answer is D
Step-by-step explanation:
he sayed that the X doubles in the first one so its ×2
and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares. What is the area of the shaded rectangle?
Answer:
Area of Rectangle = 28 cm²
Step-by-step explanation:
Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.
To find - What is the area of the shaded rectangle?
Solution -
The graph of the rectangle is as follows :
From the diagram, e can see that
Length of Rectangle = 7 units (cm)
Breadth of Rectangle = 4 units (cm)
We know that,
Area of Rectangle = Length × Breadth
= 7 × 4
= 28 cm²
⇒Area of Rectangle = 28 cm²
Convert the following equation into slope intercept form y-6=2(x+4)
Answer:
y = 2x +14
Step-by-step explanation:
We need to convert the given equation into slope intercept form ,
=> y - 6 = 2(x+4)
=> y -6= 2x + 8
=> y = 2x +8+6
=> y = 2x + 14
• Hence the required answer is y = 2x + 142x + 3y = -60
2x + 3y = 120
quations
Which statement describes the solution to this system of equations?
Answer:
No solution.
Step-by-step explanation:
Determine the y-intercept of the function f(x) = x^4 + 3x^3 -2x + 7. PLEASE HELP ASAP!!
Answer:
D
Step-by-step explanation:
all answers are x = 0. If we put 0 instead of X.
y=0^4+3×0^3-2×0+7
y=0+0+0+7
y=7
7 1/2 divided by 3/4 =
Help please ;-;
Answer:
10
Step-by-step explanation:
convert mixed number into improper fraction
15/2÷3/4
to divide by a fraction multiply by the reciprocal of that fraction
15/2×4/3
reduce the numbers with the greatest common factor 3
5/2×4
reduce the numbers with the greatest common factor 2
multiply the numbers
5×2=10
10 is your answer
The net of a solid figure is shown below:
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure?
A) 3 x 6 x 6 square inches
B) 6 x 3 x 3 x 3 square inches
C) 3 x 6 x 6 x 6 square inches
D) 6 x 3 x 3 square inches
Answer:
D, 6 x 3 x 3
Step-by-step explanation:
One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.
Shelly bought 53.6 gallons of orange juice and used 18.3 gallons of it to make popsicles how much orange juice dose shelly have left
can someone pls help
Answer:
C
Step-by-step explanation:
4(5)+10-12=18
help!!!!!! algebra 1
Answer:
f(8) = 195
Step-by-step explanation:
When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.
f(8) = 3 + 3(8)²
f(8) = 3 + 3(64)
f(8) = 3 + 192
f(8) = 195
Hope this helps!
Answer:
195
Step-by-step explanation:
plug 8 =x into the equation
Use elimination/linear combination to solve the following.
please help
Answer:
Step-by-step explanation:
3x + 4y = 17
5x - 4y = 7
you can thus cancel out 4y
Hence
8x = 24
Hence x = 3
Substituting’
3(3) + 4y = 17
9 + 4y = 17
Hence 17 - 9/4
= y = 2
Hope this helps
7/8 = m - 5/12 What is m?
Answer:
31/24 or 1.29
Step-by-step explanation:
First isolate m to one side of the equation
7/8+5/12=m
21/24 + 10/24=m
31/24=m or you can simplify to get 1.29
yo help me please if u can’t see please zoom in i need help asap
Answer:
96
Step-by-step explanation:
once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.
What is AC? ACB is right angle triangle. Side AB is 37 and BC is 35.
Answer:
The answer is 12
Step-by-step explanation:
If you would like you could use this tool https://www.omnicalculator.com/math/right-triangle-side-angle
Also 12, 35, 37 is a pythagorean triple further proving that tyheanswer is 12.
please help!!!!!!!!!
Answer:
that would be 1
Step-by-step explanation:
in this equation x=74 and 74/74 equals one
Tomorrow the last day of school how ya feel?
-franz:)
Answer:
Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.
Step-by-step explanation:
Anita's father is 5 ft. 9 in. tall, How many inches tall is anita's father
Answer:
He would be about 69 inches
Answer:
69 inches tall
Step-by-step explanation:
add 5ft = 60 inches + the other 9 inches which is
69 inches all together