Answers
Answer:
According to tangents secant segments theorem,
11) x(16+x) = (x + 6)^2
x (16+x) = (x + 6)^2
16x + x^2 = x^2 + 2(6)(x) + 6^2
16x + x^2 = x^2 + 12x + 36
16x - 12x + x^2 - x^2 = 36
4x = 36
x = 36/4
x = 4
13) x(x + 5) = (x + 2)^2
x^2 + 5x = x^2 + 2x 2(2)(x) + 2^2
x^2 + 5x = x^2 + 4x + 4
x^2 -x^2 + 5x - 4x = 4
x = 4
14) x + 8( x + 8 + 32) = (3x) ^2
x + 8(x + 40) = 9x^2
x(x + 8) + 40(x + 8) = 9x^2
x^2 + 8x + 40x + 320 = 9x^2
x^2 + 48x + 320 =9x^2
48x + 320 = 9x^2 - x^2
48x + 320 = 8x^2
Dividing the whole eq. by 8,
6x = 40 = x^2
0 = x^2 - 6x - 40
0 = x^2 - 10x + 4x - 40
0 = x(x - 10) + 4(x - 10)
x - 10 = 0 OR x + 4 = 0
x = 10 OR x = - 4
length cannot be negative, so,
x = 10
15) (x + 3) ( x + 3 + 15) = (2x) ^2
(x + 3) (x + 18) = 4x^2
x(x + 18) + 3(x + 18) = 4x^2
x^2 + 18x + 3x + 54 = 4x^2
x^2 + 21x + 54 = 4x^2
0 = 4x^2 - x^2 - 21x - 54
0 = 3x^2 - 21x - 54
Dividing the whole eq. by 3,
x^2 - 7x - 18 = 0
x^2 - 7x - 18 = 0
x^2 - 9x + 2x - 18 = 0
x(x - 9) + 2 (x - 9)
x + 2 = 0 Or x - 9 = 0
x = -2 or x = 9
length cannot be negative,so,
x = 9
Related Questions
Solve for all values of x by factoring.
x^2-x-8=-3x
Answers
Answer:
The roots are {-4, 2}.
Step-by-step explanation:
It seems strange to have x terms on both sides of your equation. If this is indeed the correct equation, then
x^2-x-8=-3x becomes x^2 +3x - x - 8= 0, and this latter result simplifies to
x^2 + 2x - 8 = 0.
One set of factors of -8 is {-2, 4} and another is {1, -8). Hence we could try evaluating this quadratic at x = 4:
4^2 + 2(4) - 8 = 16 (since this is not zero, 4 is not a root and (x - 4) is not a factor.
Try x = -4 instead:
(-4)^2 + 2(-4) - 8 = 0 simplifies to 16 - 8 - 8 = 0, which is true.
Then x + 4 is a factor and x - 2 is another. Multiplying these two together as a check results in the given x^2- x - 8 = -3x.
The roots are {-4, 2}.
Will mark brainly
ASAP
Answers
Answer:
58
Step-by-step explanation:
you you have to get the 32 and subtract that by 90 you go by the right angle and subtract 32
Answer:
C) 58
Step-by-step explanation:
CD = 90°
BXC = 32°
Since AXB and these two angles form a straight line, add the first two angles and subtract from 180 (a straight line)
90 +32 = 122
180-122 = 58
The function of fx and gx are shown on the graph Fx=x2
What is gx
Answers
Answer:
Step-by-step explanation:
g(x) =(1/4 x)²
g(x) = 4x² will be the equation of the parabola.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, two parabolas f(x) and g(x),
From the general equation of the parabola,
y = a(x – h)² + k or x = a(y – k)² +h.
Here (h, k) denotes the vertex.
As we can see in our case, the vertex is (0, 0)
Thus, the equation of the parabola will be
y = ax²
Since the given parabola passes through the point (1, 4)
Substitute the values,
4 = a(1)²
a = 4
therefore, the equation of the parabola g(x) will be,
g(x) = 4x²
Learn more about function here:
https://brainly.com/question/29633660
#SPJ7
As part of statistics project, math class weighed all the children who were willing to participate as shown below.
How many children weighed less than 50 pounds?
Answers
Answer:
18
Step-by-step explanation:
The key of this leaf stem-leaf plot is:
4 | 5 = 45
Therefore, the data points that represents children with weight that is less than 50 pounds would be as follows:
First row => 12, 13, 15, 15 15, 16, 16, 19
Second row => 23, 25
Third row => 33, 35, 37, 38, 39
Fourth row => 44, 45, 45
Therefore, the number of children that weigh less than 50 pounds = 18
Zye takes out a loan for $6,000 to but a sno conne cart. The bank charges him 8% on the loan. After 5 years, how much interest will be add to the loan?
Answers
Answer:
3, 750
Step-by-step explanation:
The interest added to the loan would be $3, 750
Question 7: Find the value of x. The numbers below are in degrees.
140
S
50
20
Help pls
Answers
Answer:
your answer is 50° I hope it's helps you
The population P, of Caribou in the Yukon is modeled by P=6x^2-120x+1250 where X is the number of years from today. After how many years with the Caribou population route 21,000 round to one decimal place
Answers
Answer:
It will take approximately 68.2 years for the Caribou population to reach 21,000.
Step-by-step explanation:
The population P of Caribou in the Yukon is modeled by P=6x²-120x+1250 where x is the number of years from today.
If the population P of Caribou in the Yukon is 21000, then, replacing you get:
21000= 6x²-120x+1250
So:
0= 6x²-120x+1250 -21000
0= 6x²-120x - 19750
This is a quadratic function of the form: 0= ax²+ bx +c, where: a=6, b= -120 and c=-19750
To solve a quadratic function and determine the value of x you can use the expression:
[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
Replacing the values of a, b and c and solving you get:
[tex]x1,x2=\frac{-(-120)+-\sqrt{(-120)^{2}-4*6*(-19750) } }{2*6}[/tex]
[tex]x1,x2=\frac{120+-\sqrt{14400+474000 } }{12}[/tex]
[tex]x1,x2=\frac{120+-\sqrt{488400 } }{12}[/tex]
[tex]x1,x2=\frac{120+-698.86 }{12}[/tex]
So:
[tex]x1=\frac{120+698.86 }{12}[/tex]
x1= 68.24 ≅ 68.2
and
[tex]x2=\frac{120-698.86 }{12}[/tex]
x2= -48. 24 ≅ -48.2
As time cannot be negative, it will take approximately 68.2 years for the Caribou population to reach 21,000.
A solid plastic ball is a sphere with radius 11 in. How much plastic does it take to make one ball? Use 3.14 for pi.
Answers
guys please help me with this question, I’d appreciate it a lot
Answers
Answer:
B. 84. cubic cm.
Step-by-step explanation:
Remember volume = l*w*h or b*h
Have an awesome day. Let me know if you need any other questions to be answered.
Triangle ABC pictured above has a right angle at C. If a=4.3 and c=9, find the measure of angle B. Round to the nearest tenth of a degree.
I ONLY NEED THE ANSWER HELP MEEEEEE
Answers
All the answers to the SLO spring test 6th grade
Answers
Answer:
Don't have them
lol
What is the factored form of 10x²+31x-14?
Answers
Answer:
(5x-2)(2x+7)
Step-by-step explanation:
10x²+31x-14
10x²+35x-4x-14
(10x²+35x)-(4x+14)
5x(2x+7)-2(2x+7)
(5x-2)(2x-7)
Please help i dont understand
Answers
Answer:
672
Step-by-step explanation:
what is this answer???
Answers
Answer:
<AEB = 51.2
Step-by-step explanation:
Remark
A straight line has a degree value of 180. There are 3 angles. One of them is 90. The other two must add to 90
Equation
2.7x + 8 + 3.8x - 22 = 90 combine like terms on the left.
6.5x - 14 = 90 add 14 to both sides
6.5x = 90 + 14
6.5x = 104 Divide by 6.5
x = 104/6.5
x = 16
<AEB = 2.7*16 + 8
<AEB = 51.2
3X^7 +12X^6-36X^5 GCF how to solve
Answers
Evaluate: 4h+j, where h=−4 and j=−2
Answers
Answer:
Substitute the value of the variable into the expression and simplify.
− 18
Step-by-step explanation:
I'm sorry if it's not what you are looking for.
20 POINTS‼️Jeremy can row 3/8 of a mile in 1/4 of an hour. What is the unit rate that describes the miles per hour?
A. 1 1/2 miles per hour
B. 3/4 miles per hour
C. 1 1/2 hours per mile
D. 3/4 hours per mile
PLEASE HELP THIS IS FOR A TEST!!!! DO YOUR BEST TO SHOW WORK FOR BRAINLIEST!!!!
Answers
Answer:
A 1 1/2 miles per hour
Step-by-step explanation:
Take the amount of miles he can row in 1/4 of an hour (3/8) and multiply it by 4, since it will tell you how many miles he can row in one hour. You get 12/8 miles per hour, which simplifies to 1 1/2 miles per hour
Hopefully this helps - let me know if you have any questions!
Write a system of linear inequalities represented by the graph. 20 pts!
Answers
Given:
The graph of the system of inequalities.
To find:
The system of inequalities.
Solution:
From the given graph it is clear that the first line passes through the points (0,2) and (1,-1). So, the equation of the boundary line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-2=\dfrac{-1-2}{1-0}(x-0)[/tex]
[tex]y-2=-3x[/tex]
[tex]y=-3x+2[/tex]
The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.
[tex]y\geq -3x+2[/tex]
The second line passes through the points (0,-2) and (3,0). So, the equation of the boundary line is:
[tex]y-(-2)=\dfrac{0-(-2)}{3-0}(x-0)[/tex]
[tex]y+2=\dfrac{2}{3}x[/tex]
[tex]y=\dfrac{2}{3}x-2[/tex]
The shaded region lies above the line and the boundary line is a solid line. So, the sign of inequality must by ≥.
[tex]y\geq \dfrac{2}{3}x-2[/tex]
Therefore, the system of inequalities contains two linear inequalities [tex]y\geq -3x+2[/tex] and [tex]y\geq \dfrac{2}{3}x-2[/tex].
Ryan has 7 black pairs of socks, 3 pair of brown socks, and 8 white pairs of socks in his wardrobe. He randomly picks one pair. Find P(NOT Black) in fraction form
Answers
Answer:
Black socks pairs = 7
Brown socks pairs = 3
White socks pairs = 8
P(not black) = ?
First, you need to add the brown & white socks pairs,
[tex]3 + 8 = 11[/tex]
Then you need to add the total number of socks pairs,
[tex]7 + 3 + 8 \\ = 7 + 11 \\ = 18[/tex]
P(not black)
[tex] = \frac{11}{18} [/tex]
Step-by-step explanation:
solution given:
total pair of socks[S]=(7+3+8)=18
total pair of black socks[B]=7
total pair of brown socks [C]=3
total pair of white socks[W]=8
total no of orange marbles[O]=2
now
the P( not black) =?
we have
P( not black) =1-[tex] \frac{n[B]}{n[S]} [/tex]
P( not black) =1-[tex] \frac{7}{18} [/tex]
P( not black) =[tex] \frac{18-7}{18} [/tex]
P( not black) =[tex] \frac{11}{18} [/tex]
so 11/18 is a required probabilty.
Raymond used 36 cubes to build the first layer of a rectangular prism. The edge length of each cube was 1 inch. The finished prism had a total of 8 layers. What is the volume of Raymond’s prism in cubic inches?
Answers
Answer:
[tex]Volume=288in^{3}[/tex]
Step-by-step explanation:
Given
Base Cubes =36
Layers = 8
The number of base cubes represents the base area and the number of layers represents the height of the prism.
So, the volume is calculated as:
Volume = Base Cubes * Layers, i.e Base Area * Heights
Volume = [tex]36*8[/tex]
Volume = [tex]36in^{2} * 8 in[/tex]
Volume = [tex]288in^{2}[/tex]
Help ASAP! Find the measure of Arc AP.
Answers
Answer:
57
Step-by-step explanation:
<=1/2(AP-BN)
12=1/2(x-33)
(2) 12=1/2(x-33) (2)
24=x-33 24+33
57=x
57=AP
• There are 20 pounds of the mixture.
• Peanuts cost $2.95 per pound.
• Almonds cost $5.95 per pound.
• The mixture costs $4.00 per pound.
How many pounds of peanuts will there be?
Answers
Answer:
6.63 pounds
Step-by-step explanation:
Total pounds of mixture = 20
The contents of the mixture are; peanuts and almonds. Of which;
Peanuts cost = $2.95 per pound
Almonds cost = $5.95 per pound
The mixture cost = $4.00 per pound
Total cost of contents of the mixture = $8.90
The pounds of peanuts = [tex]\frac{2.95}{8.90}[/tex] x 20
= 6.63
Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME I ALREADY DID THE TOP AND THE F. BTW SO NO NEED JUST PLS HELP IN THE OTHER QUESTIONS IN BOTTOM :(.. /C. D. AND E. PLS HELP :( /
Answers
Answer: for C it is that 1/2 is half of an whole therefore 1/2 is half is less than the rest
for D you will have to add more 1/2 for it to be greater than but for now, it is less than.
for E you will have to add more 1/2 for it to be greater than
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base 25, and height 30.
Draw the garden such that 1 unit on the grid below represents 5
Answers
Answer:
Given that the garden is a right triangle with base 25m start and height 30 m The length of the hypothenus can be achieved by using pythagorean theorem. Please find the attached file for the diagram. I made a large unit for the sake of clarity.
Answer:
6.0 on the left side 5.0 at the bottom 7.8 on the right side
Step-by-step explanation:
Two angles are supplementary. One angle is 155º. What is the measure of the other
angle?
Answers
Answer:
b
Step-by-step explanation:
Answer:
supplementary means angles that add up to 180°
one angle = 155°
other angle = 180° - 155° = 25°
A) 25°
hope this answer helps you......
The weight of oranges growing in an orchard is normally distributed with a mean
weight of 7 oz. and a standard deviation of 0.5 oz. Using the empirical rule, what
percentage of the oranges from the orchard weigh between 6.5 oz. and 7.5 oz.?
Answers
Answer:
The correct anser for delta math is 68%
Step-by-step explanation:
I gave up on delta math
Two rectangular prisms are shown. The prisms have the same dimensions. What is the total volume of both prisms?
Answers
Answer:
V= 2* L*B*H
Step-by-step explanation:
Although we are not given the dimension of the rectangular prisms in this question
The volume of a rectangular prism is
V= L*B*H
Since the number of the prism is two
Hence the volume of the two prisms
V= 2* L*B*H
Therefore, when the plugin the dimensions of the prism into the expression above, you will get the volume of the two prisms combined
Hello! Can I get some help on this? Name the quadrant or axis where each point lies.
Answers
Answer:
1. X-axis
2. Quadrant 4
3.3
4.2
Step-by-step explanation:
What is 2/3 – (-2/3)?
A. -4/3
B. 4/3
C. 0
D. 2/3
Answer is B
Answers
Answer:
answer b
Step-by-step explanation:
lol points ig
Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top and bottom) with 720072007200 cm^2 squared of lightweight fabric. What is the volume inside the kite?
Answers
Answer:
54000 cm²
Step-by-step explanation: