Answers
Answer:
BC=25
Step-by-step explanation:
8/(8+12)=10/BC
8/20=10/BC
8BC=10×20
BC=200/8=25
Related Questions
what is the vertex of x^2
Answers
Answer:
The vertex is (0,0)
Step-by-step explanation:
To find the x coordinate of the vertex
x = -b/2a where ax^2 +bx +c
a=1 b=0 c=0
x = -0/2(1) = 0
The y value is found by substituting into the equation
y = (0)^2 =0
The vertex is (0,0)
what is the proper seperation of factors for this equation ∛24n² × ∛36n²
Answers
Answer:
[tex]{ \tt{ \sqrt[3]{24 {n}^{2} } \times \sqrt[3]{36 {n}^{2} } }} \\ = { \tt{( {n}^{ \frac{2}{3} })( \sqrt[3]{864}) }}[/tex]
Witch two ratios represent quantity's that are pro proportional?
9/5 and 19/10
4/6 and 10/16
25/35 and 20/24
15/10 and 21/14
Answers
Answer:
15/10 and 21/14
Step-by-step explanation:
Simplify:
9/5 and 19/10
Simplified; not proportional.
Simplify:
4/6 and 10/16
2/3 and 5/8
Simplified; not proportional.
Simplify:
25/35 and 20/24
5/7 and 5/6
Simplified; not proportional.
Simplify:
15/10 and 21/14
3/2 and 3/2
Simplified; proportional.
Which equation of the solutions of x2 = -7x – 8
Answers
Answer:
x = 1, -5.56
Step-by-step explanation:
x^2 = -7x - 8
shift -7x and -8 to the other side . Remember when u shift minus changes into plus.
x^2 + 7x + 8 = 0
using quadratic equation formula
in quadratic equation one value comes positive and other comes in negative
a = 1 , b = 7 and c = 8
taking positive sign
x = (-b + [tex]\sqrt{b^2 - 4*a*c}[/tex]) /2*a
x = (-7 + [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1
x = (-7 + [tex]\sqrt{49 + 32}[/tex] ) /2
x = (-7 + [tex]\sqrt{81}[/tex] )/ 2
x = -7 + 9 / 2
x = 2/2
x = 1
taking negative sign
(-b - [tex]\sqrt{b^2 - 4*a*c}[/tex] ) /2*a
x = (-7 - [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1
x = (-7 - [tex]\sqrt{49 - 32}[/tex] ) /2
x = -7 - [tex]\sqrt{17}[/tex] / 2
x = -7 - 4.12 / 2
x = -11.12/2
x = -5.56
therefore x = 1 , - 5.56
Answer:
[tex]x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}[/tex]
Step-by-step explanation:
[tex]x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\[/tex]
[tex]x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\[/tex] [tex][ \ a = 1 , \ b = 7 , \ c = 8 \ ][/tex]
[tex]x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}[/tex]
In ΔOPQ, PQ = 14, QO = 13, and OP = 20. Which list has the angles of ΔOPQ in order from smallest to largest?
Answers
Answer:
The answer is A, that's the correct one
which linear inequality is represented by the graph
Answers
Answer:
Step-by-step explanation:
please help me! i need this to pass!
Answers
Answer:
option E, C
Step-by-step explanation:
From the graph we will find the equation of g(x).
g(x) is a parabola with vertex ( h, k) = ( 0, 9)
Standard equation of parabola is , y = a (x - h)² + k
y = a (x - 0)² + 9
y = ax² + 9 ---------- ( 1 )
Now we have to find a .
To find a we will take another point through which the parabola passes .
Let it be ( 3, 0).
Substitute ( 3 , 0 ) in ( 1 ) => 0 = a (3 )² + 9
=> - 9 = 9a
=> a = - 1
Substitute a = - 1 in ( 1 ) => y = -1 x² + 9
=> y = - x² + 9
Therefore , g(x) = -x² + 9
Now using the table we will find h(x)
[tex]h(x) = 4^{x}[/tex]
So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]
Option A : both function increases on ( 0, ∞ ) - False
[tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]
[tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]
g(x) decreases on ( 0 , ∞)
[tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]
[tex]= \infty[/tex]
h(x) increases on ( 0, ∞)
option B : g(x) increasing on (- ∞, 0) - False
g(x) = -x² + 9
g( -2 ) = - (-2)² + 9
= - 4 + 9 = 5
g ( -5) = - ( -5)² + 9
= - 25 + 9 = - 14
As the value of x moves towards - ∞ , g(x) moves towards - ∞
Therefore g(x) decreases on (- ∞, 0)
Option C: y intercept of g(x) is greater than h(x) - True
y intercept of g(x) = ( 0 , 9 )
y intercept of h(x) = ( 0 , 1 )
Option D : h(x) is a linear function - False
Option E : g(2) < h(2) - True
g(x) = -x² + 9
g(2) = -(2)² + 9 = - 4 + 9 = 5
h(x) = 4ˣ
h(2) = 4² = 16
NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answers
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
A circle is centered on point B. Points A C and D lie on its circumference.
If angle ABC measures 124°, what does ADC measure?
Answers
Answer:
Step-by-step explanation:
If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62
Find the quadratic equation whose parabola has vertex (3,-2) and y-intercept (0, 16). Give your
answer in vertex form.
Answers
Answer:
y = 2*(x - 3)^2 - 2
Step-by-step explanation:
Remember that a quadratic equation of vertex (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if we know that the vertex is at (3, - 2)
we have:
y = a*(x - 3)^2 + (-2)
And we want the y-intercept to be (0, 16)
This means that, when we take x = 0, we must have y = 16
if we replace these in the above equation we get:
16 = a*(0 - 3)^2 - 2
now we can solve this for a
16 = a*(-3)^2 - 2
16 = a*9 - 2
16 + 2 = a*9
18 = a*9
18/9 = a
2 = a
Then the quadratic equation is:
y = 2*(x - 3)^2 - 2
Set up an equation and solve for x
Answers
Answer:
x = -10
Step-by-step explanation:
verticle angles are congruent
80 + x = 70
Subtract 80 from both sides
x = -10
A survey was done to determine the relationship between gender and subject preference. A total of
56 students were surveyed to determine if they liked math, English, social studies, or science as their
favorite subject. The results were then broken down based on whether the respondent was male or
female.
Answers
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
[tex]$=\frac{8}{56}$[/tex]
[tex]$=\frac{1}{7}$[/tex]
=0.14
PLZ HELP WILL GIVE BRAINLY IF RIGHT!!!
-2(x-4)=4x+2x+8
Answers
Answer:
x = 0
Step-by-step explanation:
-2(x-4)=4x+2x+8
Distribute
-2x +8 =4x+2x+8
Combine like terms
-2x+8 =6x+8
Add 2x to each side
-2x+2x+8 =6x+2x+8
8 = 8x+8
Subtract 8 from each side
8-8 = 8x+8-8
0 = 8x
Divide by 8
0=x
Answer:
x = 0
Step-by-step explanation:
-2(x-4) = 4x+2x+8
-2x+8 = 6x+8
8-8 = 6x+2x
0 = 8x
x = 0
Hope this will help and if so, then please mark me as brainliest.
pls help due in 1 hr
Answers
Answer:
x = 10.6
Step-by-step explanation:
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
sin(49) = 8/x
x = 8/sin(49)
x = 10.6
Which graph shows a function whose inverse is also a function?
T
5
4
3
2
+1)
-2.-1
3
4
5
X
Answers
Answer:
hello the function graph is turned 90 degree like clock way.
All the plotted graphs represent functions whose inverse is also a function.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the function whose inverse is also a function.
A one to one function is a type of function whose inverse is also a function. The linear equations are one to one functions. They are of the form {y} = ax + b. This means that all of the graphs plotted represent a function whose inverse is also a function. So, we can conclude that all the plotted graphs represent the straight line, and all of them represent functions whose inverse is also a function.
Therefore, all the plotted graphs represent functions whose inverse is also a function.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
determine the equation of the circle graphed below.
Answers
Answer:
(x - 5)² + (y - 5)² = 18
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, 5) , then
(x - 5)² + (y - 5)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (8, 8)
r = [tex]\sqrt{(8-5)^2+(8-5)^2}[/tex]
= [tex]\sqrt{3^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex] ⇒ r² = ([tex]\sqrt{18}[/tex] )² = 18
Then
(x - 5)² + (y - 5)² = 18 ← equation of circle
Create a SQUARE pyramid that has a base area of 49 mm2 and a volume of 588mm3. Show the volume calculation.
Answers
Answer:
sorry
Step-by-step explanation:
hindi ko din alam
Identify the type of function represented by
f(x) = 4.2%
O A. Exponential growth
O B. Exponential decay
O C. Decreasing linear
O D. Increasing linear
Answers
Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?
Answers
Answer:
(x - 2)^2 + (y + 2)^2 = 100
Step-by-step explanation:
We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.
Then the radius of this circle will be the distance between (2, - 2) and (-4, 6)
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Then the distance between (2, - 2) and (-4, 6) is:
[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]
Then the radius of the circle is R = 10
and we know that the center is (2, -2)
the equation for this circle is then:
(x - 2)^2 + (y - (-2))^2 = 10^2
(x - 2)^2 + (y + 2)^2 = 100
Let p: x < −3
Let q: x > 3
What is represented by p ∨ q?
x < −3 and x > 3
x > 3 or x < −3
If x < −3, then x > 3
x < −3 if and only if x > 3
Answers
Answer:it is the number above the 5
Step-by-step explanation:
The product of sinA x cotA is
Answers
==========================================
Work Shown:
sin(A)*cot(A)
sin(A)*( cos(A)/sin(A) )
cos(A)
--------------
Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.
Answer:
cosA
Step-by-step explanation:
Using the identity
cotA = [tex]\frac{cosA}{sinA}[/tex] , then
sinA × cotA
= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )
= cosA
Please help. I completely forgot what to do ahh. If anyone knows, please let me know :(
Answers
5x + 20 = 3x + 60
-3x -20
2x = 40
x=2
HELP ME PLEASE WILL GIVE BRAINLIEST JUST HURRY GOT UNTIL TMRW AND ITS LATE LOL
Okay
Lia and Sergio are both saving to buy a
kayak that costs $800. The table shows
Lia'ssavings perweek. Sergio saves
$24 per week. Who will be able to buy
thekayak first? How long willit take?
Answers
Answer:
Sergio will buy first
It will take 34 weeks for Sergio
and 45 weeks for Lia
Step-by-step explanation:
Given Info: Per week Sergio Saves $24
How:
divide $72 by 4 weeks to find how much Lia is earning per 1 week.
72/4= 18
So Lia is saving 18$ per week while Sergio saves $24 per week
24>18
Sergio will save more per week so he will get it first.
It will take 34 weeks for Sergio
and 45 weeks for Lia
If AGHJ ~ ALMK, with a scale factor of 5:6,
find the perimeter of AGHJ.
Answers
Answer:
35
Step-by-step explanation:
Perimeter of LMK = 14 + 11 + 17
Perimeter of LMK = 42
Perimeter GHJ/ Perimeter LMK = 5/6
Perimeter GHJ / 42 = 5/ 6 Cross Multiply
6*Perimeter GHJ = 42 * 5
6*Perimeter GHJ = 210 Divide by 6
Perimeter GHJ = 210/6
Perimeter GHJ = 35
Help me please I’m gonna cry finals i have 15 min left please I gave u all my points
3 questions
Answers
Answer:
Your just now have finals ?
Step-by-step explanation:
Ay, good luck tho homie !
892.8571428571429 to the nearest whole number
Answers
Answer:
893
Step-by-step explanation:
To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.
Hope this helps.
[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]
They are those that do not have numbers after the point that are not zeroAnswer:
The closest number is 893
Att- Brook2007s
Saludos ten lindo día uwu
The ratio of boys to girls in a class is 5:4.There are 36Students in the class.how many students are girls?
Answers
Answer:
16 girls
Step-by-step explanation:
boys : girls : total
5 4 5+4 = 9
take the total number of people and divide by 9
36/9 = 4
Each number should be multiplied by 4
boys : girls : total
5*4 4*4 9*4
20 16 36
There are 16 girls
What are reciprocals?
Answers
Answer:
In mathematics,reciprocal is an expression or function so related to another that their product is unity; the quantity obtained by dividing the number one by a given quantity.
Answer:Rh
Step-by-step explanation:mama
what is the average of 4741, 4261, 4628?
Answers
Answer:
4628
I hope it will help you all
What is |x - 9| = 0 in word form?
Answers
Answer:
x = 9
Step-by-step explanation:
|x - 9| = 0
x = 9
|9 - 9| = 0
|0| = 0
0 = 0
