Answer:
x = - 12, 3
Step-by-step explanation:
By tangent secant theorem:
[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]
In the coordinate plane, point C lies on segment AB. If the ratio of the length of segment AC to the length of segment CB is 3:1, find the x-coordinate of C given the coordinates of A(3, 12) and B (14, 17).
Question 14 options:
A. 11.25
B. 6
C. 5.75
D. 12
Answer:
A. 11.25
Step-by-step explanation:
If point C(x, y) divides line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2\\[/tex]) in the ratio on n:m, then the coordinates of point C is:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Given that segment AB is divided by point C in the ratio of 3:1. Given A(3, 12) and B (14, 17). Let coordinate of C be (x, y), hence:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\\\x=\frac{3}{3+1}(14-3)+3=\frac{3}{4}(11)+3=11.25 \\\\\\y=\frac{n}{n+m}(y_2-y_1)+y_1\\\\y=\frac{3}{3+1}(17-12)+12=\frac{3}{4}(5)+12=15.75[/tex]
Therefore, the coordinate of point C = (11.25, 15.75)
The x coordinate of point C is 11.25
Help me!!!!!!!!!!!!!!
Answer:
use brainly points
Step-by-step explanation:
Answer:
so besacily find wich way it goes opposite
Step-by-step explanation:
question below , vvvvv
Answer:
5 + 2x = 5x + 4
-2x -2x
5 = 3x + 4
-4 -4
1 = 3x
Divide by 3 on both sides.
1/3 = x
Given that sinФ = 8/17 and cos Ф < 0:
In which quadrant does the terminal side lie when it is placed in standard position?
What is the value of CosФ? CosФ =
What is the value of tanФ? TanФ =
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
What is x? Please try and show work. ANSWER ASAP! SCAM ANSWERS WILL BE REPORTED. Will award brainliest for correct answer!
Answer:
x=6
Step-by-step explanation:
Kindly look at the image provided below.
The image shows the relationship between intersecting secants and their corresponding arcs which is important to understand when looking at problems like these.
The relationship states that an angle formed by two intersecting secants is equal to half the sum of its corresponding arc and its vertical angles corresponding arc.
So ∠FHG = 1/2 ( arc FG + arc EB )
* substitute the given expressions for each angle and arc *
we would then have
15x - 2 = 1/2 ( -2 + 12x + 16x + 10 )
We now solve for x
Step 1 multiply each side by 2
1/2 ( -2 + 12x + 16x + 10 ) *2 = ( the 2 and 1/2 cancels out ) -2 + 12x + 16x + 10
(15x - 2 )2 = 30x - 4
we now have -2 + 12x + 16x + 10 = 30x - 4
step 2 combine like terms
-2 + 10 = 8
12x + 16x = 28x
now we have 30x - 4 = 28x + 8
step 3 add 4 to each side
-4 + 4 cancels out
8 + 4 = 12
Now we have 30x = 28x + 12
step 4 subtract 28x from each side
30x - 28x = 2x
28x - 28x cancels out
now we have 2x = 12
step 5 divide each side by 2
2x / 2 = x
12 / 2 = 6
we're left with x = 6
ASAP
how did you get the answer
(Will mark brianist)
Find the value of x and each arc measure.
12 and 13 please
Answer:
See answers below;
Step-by-step explanation:
Find the diagram attached
12) Given the following
m<EF = 3x - 6
m<GF = 15x - 30
From the diagram, arcEf and arcGF are supplementary. Hence;
arcEF + arcGF = 180
3x - 6 + 15x - 30 = 180
18x - 36 = 180
18x = 180 + 36
18x = 216
x = 216/18
x = 12degrees
arcEF = 3x-6
arcEF = 3(12) - 6
arcEF = 36 - 6
arcEF = 30degrees
arcGF = 180 - aecEF
arcGF = 180 - 30
arcGF = 150degrees
Since arcDE = arcGF (vertical angles), hence arcDE = 150degrees
arcDFG = arcDG+arcGF
arcDFG = 30 + 150
arcDFG = 180degrees
13) arcMN = arcQP (vertical angles)
12x-5 = 6x+3
Collect like terms
12x - 6x = 3 + 5
6x = 8
x = 8/6
x = 1.3
arcMN =12x - 5
arcMN = 12(8/6) - 5
arcMN = 16 - 5
arcMN = 11degres
arcNP = 180 - arcMN
arcNP = 180 - 11
arcNP = 169degrees
Since arcNQP lies on straight line, hence arcNQP is 180degrees
37 1/2 of 56 in percent?
Answer:
hi. im looking for fr33 p01nts. hope u understand. it could also help if u would give brain1est.
Step-by-step explanation:
What is 9 - 10 as a decimal number
The net of a three-dimensional figure is made of 6 rectangles that may or may not be squares. Depending on the
number of rectangles that are squares, which could be the figure? Select three options.
O a cube
a square prism
a square pyramid
O a rectangular prism
a rectangular pyramid
Answer:
A. a cube
B. a square prism
C. a rectangular prism
Step-by-step explanation:
The net of a given shape is the description of its three dimensional surfaces in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;
i. a cube
ii. a square
iii. a rectangular prism
The three options above have surfaces that could either be squares or rectangles.
there is a lot of poins pleas help meee
Answer:
46mi
Step-by-step explanation:
Its right. Sorry need the points.
A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АА
A. The area of the cross-sections of the prisms are multiples of each
other
B. The cross-sections of the prisms are the same shape.
C. The vertical cross-sections of the prisms at the same width must
have the same area.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
SUBMIT
Answer:
D
Step-by-step explanation:
The horizontal cross-sections of the prisms which is at same height as the cone should have same area.
Therefore Option D is the answer.
What is a Cone ?A cone is a three dimensional figure that has a circular horizontal structure , and vertically tapering up till a point.
It is given that
A Pyramid and a cone both have same volume.
Height of cone is same as Height of Pyramid .
Volume of cone = (1/3)πr²h
Volume of a pyramid = Area of base * h
When both the volume are equated
as height is same
The Area of the base of the cone = Area of the base of the Pyramid
The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.
Therefore Option D is the answer.
To know more about Cone
https://brainly.com/question/16394302
#SPJ2
YOOO PLEASE HELPPPP!!!!
Given:
Base length of triangle = 40 units
Height of triangle = 9 units
Length of hypotenuse of triangle = 41 units
To find:
Find the value of Tan A
Steps:
Tan of an angle is equal to the opposite length by adjacent length.
So,
Tan A = [tex]\frac{opposite}{adjacent}[/tex]
Tan A = [tex]\frac{9}{40}[/tex]
Tan A = 0.225
Therefore, the exact value of Tan A is 0.225.
Happy to help :)
If you need any help, feel free to ask
The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.
Number of T-Shirts Total Cost (dollar)
11 153
16 213
21 273
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
A.
c(t) = 12 + 12t
B.
c(t) = 21t
C.
c(t) = 21 + 12t
D.
c(t) = 132t
Answer:
C. c(t) = 21 + 12t
Step-by-step explanation:
help please!! i don’t rlly understand this!
Answer:
Step-by-step explanation:
The first thing they did was factor the denominators
so
x²-3x+2= (x-1)(x-2)
and
x²-1= (x-1)(x+1)
To add two fractions their denominators need to be the same
to accomplish this they mulitpied both sides of the fraction
after that they mulitplied what was in the numerator and combined like terms
Because the denominator cannot equal 0 x≠ -1, 1, 2
wHAT is 3+3+4+5+6+7????
Answer:
28
Step-by-step explanation:
first u add 3 + 3 which is 6 then 6 + 4 which is 10 then 10 + 5 is 15 then 15 + 6 is 21 and finally 21 + 7 is 28
HELP ITS URGENT
a. b. c. or d.???
Answer:
It's the last option, (a-c)√x + b√y
Step-by-step explanation:
Find the volume of the Prism (Picture Provided)
Answer:
volume = 84
Step-by-step explanation:
simple: volume = base x height
6 x 14 = 84
HEEEEELLLPPPPPPP!!!!!!!!!!!!!
Answer:
E. b + u = 21
Step-by-step explanation:
b = (bicycles)
u = (unicycles)
The Question gives you the answer.
" the number of bicycles plus the number of unicycles is 21"
*put as an equation*
b + u = 21
<3 Enjoy,
Dea
(a) Write 7.2 x 10-3 as an ordinary number.
(b) Write 71500000 as a number in standard form.
Answer:
(a) 0.0072
(b) 7.15 x 10^7
Step-by-step explanation:
Numbers less than 1 have a negative exponent
- those greater than 1 have a positive exponent.
The first part of standard form has values between 0 and 10.
pls help me out here! ty in advance!!
Answer:
the value for x=50
Step-by-step explanation:
180=74+56+x
180=130+x
x=50
PLS HURRY I ONLY HAVE 15mins LEFT WORTH 100 POINTS AND BRAINLEST
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
this is the correct answer
HELLO GUYS AND GIRLS CAN YOU PLEASE HELP?
(Find the value of x in degrees)
Answer:
x = 25 and x = 47
Step-by-step explanation:
(9)
The given angles are vertical and congruent , then
2x + 10 = 60 ( subtract 10 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
(10)
The given angles are vertical and congruent , then
2x + 6 = 100 ( subtract 6 from both sides )
2x = 94 ( divide both sides by 2 )
x = 47
4x − 4
10x − 20
×
15x + 15
3x − 3
×
6x − 12
20x + 20.
Answer:
what is the question dudd
Suppose you slice through a square pyramid such that the plane is parallel to the base and halfway up the total height of the pyramid. How does the side length of the cross section compare to the side length of the base?
Answer:
they re equal their for you can divide
Step-by-step explanation:
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years? (5 points)
a
4 schools
b
8 schools
c
10 schools
d
20 schools

Answer:
the answer is 20
Step-by-step explanation:i
hope it helps
Find the length of line segment x.
A) 16
B) 17
C) 18
D) 19
Answer:
x=17
Step-by-step explanation:
you have to use the 2 secants rule
8(8+13) = 7(7+x) distribute in parenthesis
64+ 104 = 49 +7x isolate variable
64+104-49 = 7x combine like terms
119 =7x divide both sides by 7
17 =x
How do you do these?
Answer:
a. 10^- 3
b. 10^- 7
c. 10^- 8
d. 10^- 9
e. 1 / 10^6
a.
1 / 10. 1 / 10. 1 / 10
= 1 / ( 10 x 10 x 10 )
= 1 / 1000
= 1 / 10^3
= 10^- 3
b.
1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10. 1 / 10
= 1 / ( 10 x 10 x 10 x 10 x 10 x 10 x 10 )
= 1 / 10000000
= 1 / 10^7
= 10^- 7
c.
( 1 / 10. 1 / 10. 1 / 10. 1 / 10. )^2
= ( 1 / 1000 )^2
= ( 1 / 10^3 )^2
= ( 10^- 3 )^2
= 10^( - 3 x 2 )
= 10^- 6
d.
( 1 / 10. 1 / 10. 1 / 10 )^3
= ( 1 / 1000 )^3
= ( 1 / 10^3 )^3
= ( 10^- 3 )^3
= 10^( - 3 x 3 )
= 10^- 9
e.
( 10. 10. 10. )^- 2
= ( 10^3 )^- 2
= ( 1 / 10^3 )^2
= 1 / 10^( 3 x 2 )
= 1 / 10^6
The point (-3, 1) is onlthe terminal side of angle O, in standard position. What are
the values of sine, cosine, and tangent of O? Make sure to show all work.
Answer:
cos(θ) = -3/√10
sin(θ) = 1/√10
tan(θ) = -1/3
Step-by-step explanation:
When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:
cos(θ) = x/(√(x^2 + y^2))
sin(θ) = y/(√(x^2 + y^2))
tan(θ) = y/x
Now we have the point (-3, 1), then we have:
x = -3
y = 1
√(x^2 + y^2) = √((-3)^2 + 1^2) = √10
Then we just need to replace these values in the given formulas:
cos(θ) = x/(√(x^2 + y^2)) = -3/√10
sin(θ) = y/(√(x^2 + y^2)) = 1/√10
tan(θ) = y/x = 1/-3 = -1/3
a line has a slope of 8 and includes the points (7,y) and (5,-7) no link plz
Answer: y = 9
Step-by-step explanation:
an equation of y=8x-47 will let the line pass through the point (5,-7) and the point (7,9)
i used the desmos graphing calculator website to graph it