Answer:
x = -9, 1
Step-by-step explanation:
x (x + 8 )= 9
x^2 + 8x = 9
x^2 + 8x - 9 = 0
(x + 9)(x - 1) = 0
x = -9, 1
Hope this helps!
Answer:
x = 3 and x = 0
Step-by-step explanation:
A way to solve is simplifying the given equation:
X^2 + 8x = 9
So
x = 3 and x = 0
3^2 + 8(0) = 9
9 + 0 = 9
9 = 9
find the value of y
a. 118
b. 65
c. 130
d. 32.5
Answer:
Option (B).
Step-by-step explanation:
Since "measure of an angle formed between the tangent and a chord measure the half of the intercepted arc."
Therefore, x = 2 × (65)°
x = 130°
Since, measure of the inscribed angle is half of the measure of the intercepted arc.
Therefore, x = 2y
y = [tex]\frac{x}{2}[/tex]
y = [tex]\frac{130}{2}[/tex]
y = 65°
Therefore, Option (B). 65° will be the correct option.
Please answer answer question
Answer:
The correct answer is
Step-by-step explanation:
11 square centimeters.
Hope this helps....
Have a nice day!!!!
Find the slope and Y-Intercept of the line. 6X plus 2Y equals -88
Answer:
That’s ez pz
Step-by-step explanation:
Answer:
The slope is -3 and the y intercept is -44
Step-by-step explanation:
6X+ 2Y= -88
The slope intercept form of a line is y= mx+b where m is the slope and b is the y intercept
Solve for y
6X-6x+ 2Y= -88-6x
2y = -6x-88
Divide by 2
y = -3x -44
The slope is -3 and the y intercept is -44
AB = 3.2 cm
BC= 8.4 cm
The area of triangle ABC is 10 cm²
Calculate the perimeter of triangle ABC.
Give your answer correct to three significant figures.
Answer:
Therefore, perimeter of the given triangle is 18.300 cm.
Step-by-step explanation:
Area of the triangle ABC = [tex]\frac{1}{2}(\text{AB})(\text{BC})(\text{SinB})[/tex]
10 = [tex]\frac{1}{2}(3.2)(8.4)(\text{SinB})[/tex]
Sin(B) = [tex]\frac{10}{3.2\times 4.2}[/tex]
B = [tex]\text{Sin}^{-1}(0.74405)[/tex]
B = 48.08°
By applying Cosine rule in the given triangle,
(AC)² = (AB)² + (BC)²-2(AB)(BC)CosB
(AC)² = (3.2)² + (8.4)² - 2(3.2)(8.4)Cos(48.08)°
(AC)² = 10.24 + 70.56 - 35.9166
(AC)² = 44.88
AC = [tex]\sqrt{44.8833}[/tex]
AC = 6.6995 cm
Perimeter of the ΔABC = m(AB) + m(BC) + m(AC)
= 3.200 + 8.400 + 6.6995
= 18.2995
≈ 18.300 cm
Therefore, perimeter of the given triangle is 18.300 cm
Find the value of z. A. 141 B. 110 C. 80 D. 100
Answer:
B. 110
Step-by-step explanation:
z is supplemental to 70°, so the add up to 180°
z+70°=180°
z=180°-70°
z=110°
Option B is correct. The required value of z is 110 degrees
Supplementary angles are angles summing up to 180 degrees. According to the circle geometry, we can see that z and 70 degrees lie on the same line, this shows that both angles are supplementary.
Since supplementary angles sum up to 180degrees, hence;
[tex]z + 70 = 180\\[/tex]
Subtract 70 from both sides
[tex]z+70-70=180-70\\z=110^0[/tex]
Hence the value of z is 70 degrees
Learn more here: https://brainly.com/question/22261921
multiply this decimals 1.02 x 0.286
what is the range and domian of y=(x-4)
i'm doing domain and range, and I'm kinda having a hard time with this... can someone help?
Answer:
Domain : any real number
Range : y ≥0
Step-by-step explanation:
The domain is the values that x can be
X can be any real number
The range is the values the y can be
Y can be zero or any positive value since y = x^2
Domain : any real number
Range : y ≥0
Answer:
[tex]\boxed{\sf Option \ A}[/tex]
Step-by-step explanation:
[tex]y=x^2[/tex]
[tex]\sf The \ domain \ of \ a \ function \ is \ all \ possible \ values \ for \ x.[/tex]
[tex]\sf There \ are \ no \ restrictions \ on \ the \ value \ of \ x.[/tex]
[tex]\sf The \ domain \ is \ all \ real \ numbers.[/tex]
[tex]\sf The \ range \ of \ a \ function \ is \ all \ possible \ values \ for \ y.[/tex]
[tex]\sf When \ a \ number \ is \ squared \ the \ result \ is \ always \ greater \ than \ or \ equal \ to \ 0.[/tex]
[tex]\sf The \ range \ is \ \{y:y\geq 0\}[/tex]
question is-- Northern Tier Gardens has hired you for a summer job installing water gardens. they have circular water garden pools available in a variety of sizes. the manager has asked you to create a table to show the circumference and area of the company's various water garden pools. use 3.14 for π and round each answer to the nearest hundredth. === 20 PTS.
Answer:
See explanation
Step-by-step explanation:
Atlantic area = πr² = (3.14)(2.5)² = 19.63 ft²
Circumference = 2πr = 2(3.14)(2.5) = 15.7 ft
Pacifica A = (3.14)(6)² = 113.04 ft²
C = 2(3.14)(6) = 37.68 ft
Mediterranean A = (3.14)(1.75)² = 9.62 ft²
C = 2(3.14)(1.75) = 10.99 ft
Baltica A = (3.14)(1)² = 3.14 ft²
C = 2(3.14)(1) = 6.28 ft
Japanesque A = (3.14)(2.25)² = 15.90 ft²
C = 2(3.14)(2.25) = 14.13 ft
Floridian A = (3.14)(3.25)² = 33.17 ft²
C = 2(3.14)(3.25) = 20.41 ft
Find the slope and y-intercept of the line. y = x – 8
Answer:
y- intercept= -8
slope= 1
Step-by-step explanation:
Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.
Answer:
Y-intercept = -8
Slope = 1
Step-by-step explanation:
The Y-intercept is the constant or the integer in the equation.
So, the y-intercept is "-8".
The slope is the number with which "x" is multiplied with.
So, the slope is 1, because 'x' and '1x' are similar; therefore the slope is 1.
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
140°
Step-by-step explanation:
[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\
\therefore m\widehat{BG} = 360\degree - 300\degree \\
\therefore m\widehat{BG} = 60\degree \\
\because m\widehat{BGD} = m\widehat{BG}
+m\widehat{GD}\\
\therefore m\widehat{BGD} = 80\degree+60\degree\\
\therefore m\widehat{BGD} = 140\degree\\
\because m\angle BAD = m\widehat{BGD} \\
\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]
A finite geometric series is the sum of a sequence of numbers. Take the sequence 1, 2, 4, 8, … , for example. Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2n–1. One way to write the sum of the sequence through the 5th number in the sequence is ∑5n-12n-1. This equation can also be written as S5 = 20 + 21 + 22 + 23 + 24. If we multiply this equation by 2, the equation becomes 2(S5) = 21 + 22 + 23 + 24 + 25. What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the form ∑an-1bn-1?
hope this helps you alot
Solve for a. Worth 10 pts!
[tex] \frac{1}{5} a - 5 = 20[/tex]
Answer:
Step-by-step explanation:
1/5 a-5=20 addition properties
1/5 a -5+5=20+5
1/5=25 multiply both sides by 5
5/5 a=25*5
a=125
check the answer:
125/5 -5=20
25-5=20
20=20 correct
The surface area, A, of a cylinder of radius, r, and height, h, can be found with the equation above. Which of the following correctly shows the cylinder's height in terms of its radius and surface area?
Step-by-step explanation:
If r and h are the radius and height of the cylinder, then its surface area A is given by :
[tex]A=2\pi r^2+2\pi rh[/tex] ....(1)
We need to find the cylinder's height in terms of its radius and surface area. Subtracting [tex]2\pi rh[/tex] on both sides, we get :
[tex]A-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\A-2\pi r^2=2\pi rh[/tex]
Dividing both sides by [tex]2\pi r[/tex]. So,
[tex]\dfrac{A-2\pi r^2}{2\pi r}=\dfrac{2\pi rh}{2\pi r}\\\\h=\dfrac{A-2\pi r^2}{2\pi r}[/tex]
Hence, this is the required solution.
plz help ASAP! thank u
Answer: Choice B)
The relation is a function because there are no vertical lines that can be drawn on the graph that pass through more than one point.
This graph passes the vertical line test. Any input (x) leads to one and only one output (y). An example of a graph failing the vertical line test would be a graph that is a sideways parabola.
Which ppint is the center of the circle?
O point w
O point X
O point Y
O point z
Answer:
??????????????????????????????????????????????????????????????
Step-by-step explanation:
Answer:
where is Point or picture
Find the GFC of 20 and 16
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y = 0.8x + 10
Step-by-step explanation:
From the given graph,
Graphed line passes through two points (0, 10) and (50, 50)
Let the equation of the given line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Since slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{50-10}{50-0}[/tex]
m = [tex]\frac{4}{5}[/tex] = 0.8
y-intercept of the line 'b' = 10
Therefore, equation of the line of best fit will be,
y = 0.8x + 10
Write the phrase as an expression. Then evaluate the expression when x = 5.
the sum of a number x and 4, all divided by 3
Expression:
When r= 5, the value of the expression is
Answer:
Step-by-step explanation:
expression = (x + 4) / 3
x = 5
(5 + 4) / 3
= 9/3
= 3
Hope this helps
plz mark as brainliest!!!!!!
Help pleaseeeee. Tyyy
Answer:
Option B.
Step-by-step explanation:
The measure of cage is 90 feet by 40 feet.
Length of rope [tex]=40\sqrt{2}[/tex] foot
It is clear that, length of rope is greater than one side of cage and raw a line which divides the cage in two parts as shown in below figure.
We need to find the shaded area.
By Pythagoras theorem:
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
[tex](40\sqrt{2})^2=(40)^2+perpendicular^2[/tex]
[tex]3200=1600+perpendicular^2[/tex]
[tex]3200-1600=perpendicular^2[/tex]
[tex]1600=perpendicular^2[/tex]
[tex]40=perpendicular[/tex]
So, it is a square.
From the figure it is clear that the shaded area contains 1/8th part of circle are half part of square.
Area of circle is
[tex]A_1=\pi r^2[/tex]
[tex]A_1=\pi (40\sqrt{2})^2[/tex]
[tex]A_1=3200\pi[/tex]
Area of square is
[tex]A_2=a^2[/tex]
[tex]A_2=(40)^2[/tex]
[tex]A_2=1600[/tex]
Area of shaded portion is
[tex]A=\dfrac{A_1}{8}+\dfrac{A_2}{2}[/tex]
[tex]A=\dfrac{3200\pi}{8}+\dfrac{1600}{2}[/tex]
[tex]A=400\pi+800[/tex]
[tex]A=400(\pi+2)[/tex]
The required area is [tex]400(\pi+2)[/tex] sq. ft.
Therefore, the correct option is B.
URGENT PLS HELP ASAP! THANK YOU :)
Answer:
box 1 and box2 are correct.
I NEED HELP WITH THIS QUESTION PLEASE ? :(
Answer:
x=42
Step-by-step explanation:
Can someone tell me if this is correct? I said neither is correct.
Answer:
Neither is correct
Answer:
You are right.
Step-by-step explanation:
Neither transformation gives the triangle FGE.
Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game: 90x − 20 What does the constant term of the expression represent? (2 points)
Answer:
the constant term of the expression represents the difference between Shelly and Terrence points.
Find the values of θ in the range 0≤θ≤360° which satisfy: 2 sin^2 θ - sinθ -1= 0
Answer:
Step-by-step explanation:
Solving trig equations are just like solving "regular" equations. Let's get to it. First and foremost we are going to make a "u" substitution. You'll use that all the time in calculus, if you choose to go that route. Let
[tex]sin^2 \theta=u^2[/tex] and sinθ = u. Making the substitution, the equation becomes:
[tex]2u^2-u-1=0[/tex]
That looks like something that can be factored, right? If you throw it into the quadratic formula you get the factors:
(u - 1)(2u + 1) = 0
By the Zero Product Property, either u - 1 = 0 or 2u + 1 = 0, so we will solve those, but not until after we back-substitute!
Putting sinθ back in for u:
sinθ - 1 = 0 so
sinθ = 1 and in the other equation:
2sinθ + 1 = 0 so
2sinθ = -1 and
[tex]sin\theta=-\frac{1}{2}[/tex]
Get out the unit circle and look to where the sinθ has a value of 1. There's only one place in your interval, and it's at 90 degrees.
Now look to where the sinθ has a value of -1/2. There are 2 places within your interval, and those are at 210° and 330°. Now you're done!
If I get 20 pound a day how much do i make in a month
Answer:
£600
Step-by-step explanation:
1 months= 30 days
here,
money made in 1 day= £20
now,
money made in 30 days= 20×30
= 600
[:• In one month you earn £600]
Answer:560 pounds
Step-by-step explanation:
If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.
So =1 month = 28 days
=1 day = 20 pounds
So= 20 pounds × 28 = 560 pounds
Solve (s)(-3st)(-1/3)
Answer:
Step-by-step explanation
The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
181.8yd
Step-by-step explanation:
What is the area of the trapezoid shown below?
Answer:
[tex]\Large \boxed{\mathrm{78 \ units^2 }}[/tex]
Step-by-step explanation:
The area of the trapezoid can be found by adding the area of the triangle and the area of the rectangle.
Area of rectangle = base × height = 2 × 12 = 24 units²
Area of triangle = base × height × 1/2
The base is missing for the triangle. Apply Pythagorean theorem to solve for the base.
12² + b² = 15²
b = 9
9 × 12 × 1/2 = 54 units²
Adding the areas.
54 units² + 24 units² = 78 units²
Answer:
its 78 units on khan academy :)))
Step-by-step explanation:
i need help please :(
Answer:
-(1/3 · 1/3 · 1/3 · 1/3 )
Step-by-step explanation:
-(3)^-4= -1/3 ^4 = -1/81
-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81
Answer:
Answer:
[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]
Step-by-step explanation:
[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex][tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex][tex] = - \frac{1}{81} [/tex]