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Segment QR is tangent to circle P at point Q. What is the measure of
angle PQR? *
37°
53°
90°
97°
Answers
Answer:
90
Step-by-step explanation:
its a right angle
Related Questions
What is the sum of the exterior angles of a
14-gon?
Answers
Answer:
360 degrees
Step-by-step explanation:
The sum of all exterior angles in any convex polygon is 360 degrees.
Answer:
360 degrees.
Step-by-step explanation:
The sum of exterior angles of every polygon is 360 degrees so the What is the sum of the exterior angles of a 14-gon is also equal to 360 degrees.
factor 49x8−16y14 please answer as quick as possible
Answers
Answer:
(4y7+7x4)(−4y7+7x4)
Step by Step:
Factor 49x8−16y14
−16y14+49x8
=(4y7+7x4)(−4y7+7x4)
The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
49x⁸ − 16y¹⁴
As we know the polynomial identity:
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
a² - b² = (a - b)(a + b)
The expression 49x⁸ − 16y¹⁴ can be written as:
= (7x⁴)² − (4y⁷)²
After using the identity: a² - b² = (a - b)(a + b)
= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)
Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
Learn more about the expression here:
brainly.com/question/14083225
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what is the sum of the values of x that are solutions to the equation x^2 - 10x - 22 = 2 ? a. -12 b. -10 c. -2 d. 2 e. 10
Answers
Answer:
[tex]x = 2, 12[/tex]
Your correct answer is D, since I don't see a -12.
Step 1: Subtracting 2 from both sides
Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.
[tex]x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0[/tex]
Step 2: Factoring the equation
Part 1
After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:
[tex]x^2-10x-24\\[/tex]
First, we find the multiples of the first term, [tex]x^2\\[/tex], and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of [tex]1x^2[/tex], which is [tex]1x[/tex] and [tex]1x[/tex], or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):
[tex]-6 * 4=-24\\[/tex]
But:
[tex]4-6\neq 10\\[/tex]
So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.
[tex]-12*2=-24\\2-12=-10[/tex]
Part 2
With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.
[tex](x,?)(x,?)[/tex]
Now, we place -12 and 2 in those places.
[tex](x,-12)(x,2)[/tex]
To find x, we have to plug in the equal sign and 0 from the beginning.
[tex](x,-12)(x,2)=0[/tex]
Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.
To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.
x - 12 = 0
12 - 12 = 0
x - 2 = 0
2 - 2 = 0
12 and 2 are our solutions! Hope this helps :)
Answer:
12 and 2
Step-by-step explanation:
factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2
The sum of two numbers is 26. The sum of their squares is a minimum. Find the numbers.
Answers
Answer:
The numbers at 13 and 13
Step-by-step explanation:
The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.
The two numbers are (13, 13).
Given that,
The sum of the two numbers is 26.
And the sum of their square is minimum.
We have to determine,
The two numbers are.
According to the question,
Let, the first number be x,
and the second number be y.
The sum of the two numbers is 26.
[tex]x + y = 26[/tex]
And The sum of their squares is a minimum.
[tex]x^2 + y^2 = h[/tex]
Solving both the equation,
[tex]x + y = 26\\\\x = 26-y[/tex]
Substitute the value of x in equation 2,
[tex]x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0[/tex]
Then, The vertex of the parabola is,
[tex]\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13[/tex]
The minimum value of the parabola is 13, which is also the sum of squares.
Therefore, The two number is x = 13 and y =13.
To know more about Parabola click the link given below.
https://brainly.com/question/4074088
The average (arithmetic mean) of a - 5 and a is x, and the average of a and a + 9 is y. What is the average of x and y?
a + 1
B) a +2
C) 2a + 1
D) 2a + 2
Answers
Answer:
The answer is "Option A"
Step-by-step explanation:
Given:
[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]
solve the above equation:
[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]
add both value (x and y):
[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]
average of x and y:
[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which is a true statement about the diagram?
m∠5 + m∠6 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠1 + m∠2 = 180°
m∠2 + m∠3 = m∠5
Answers
Answer:
m∠1 + m∠2 = 180°
Step-by-step explanation:
An interior angle and its exterior angle are supplementary (they add up to 180°).
I would really appreciate it if you would mark me brainliest!
Have a blessed day!
Answer:
c
Step-by-step explanation:
Pls help ima give BRAINLIST and a like
Answers
Answer:
the letter in the green box should be 3.
i believe the full equation should be y= -3/2 x+1
Step-by-step explanation:
the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.
What do I do next help
Answers
Answer:
20
Step-by-step explanation:
y = 35x + c
Put x as 1, and y as 55.
55 = 35(1) + c
55 - 35 = c
20 = c
plz help with this, Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8
Answers
Answer:
ANSWER:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
Answer:
I would say multiply everything by 2 and you’ll have an equivalent system of equations or multiply by 3 or any number, because im not sure if this is a multiple answer question, so sry
A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its label price is reduced by 20%. Again after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000. Find the value of x
Answers
Answer:
x = Rs 20,833.33
the value of x is Rs 20,833.33
Step-by-step explanation:
Let x,y and z represent the price of the item initially, after one month and after two months respectively.
Given that;
after one month its label price is reduced by 20%
y = x - 20% of x
y = x - 0.20x
y = 0.80x ........1
after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.
z = y - 10% of y
z = y - 0.10y
z = 0.90y ........2
Substituting equation 1 into 2;
z = 0.90(0.80x)
z = 0.72x
Also z = Rs 15000
So,
z = 0.72x = Rs 15000
0.72x = Rs 15000
x = Rs 15000/0.72
x = Rs 20833.33333333
x = Rs 20,833.33
the value of x is Rs 20,833.33
Ardem has two lights one flashes every 15 seconds the other flashes every 42 seconds. They start flashing at the same time. After how many seconds will they next flash at the same time??
Answers
Answer: After 210 seconds they with next flash at the same time.
Step-by-step explanation:
Given: Ardem has two lights.
One flashes every 15 seconds the other flashes every 42 seconds.
If they started flashing at the same time, then the number of seconds after that they with next flash at the same time = LCM (15, 42) [LCM - Least common multiple]
Prime factorization of 15 = 3 x 5
Prime factorization of 42 = 2 x 3 x 7
Then, LCM (15, 42) = 2 x 3 x 5 x 7 = 210
i.e. After 210 seconds they with next flash at the same time.
Which of the following explains why cos 60º = sin 30° using the unit circle?
Answers
Is the answer hope this helped
13. Gayle is getting ready for her first day of school. She has 7 new dresses to choose from and 4
new pairs of shoes. How many different outcomes are possible for Gayle to wear one dress and
one pair of shoes?
Answers
Answer:
49
Step-by-step explanation:
7 times 4 equals 49.
PLEEASEEEEE HEEELP 40 POINTS
Answers
f • g denotes the product of f and g, so that
[tex](f\cdot g)(x)=f(x)\cdot g(x)=(3x-8)(-2x+5)[/tex]
Without computing the whole product, just look at the first terms, [tex]-6x^2[/tex]. This tells you that f • g is quadratic, and its graph is a stretched parabola that opens downward.
You can treat the product g • s similarly:
[tex](g\cdot s)(x)=(-2x+5)(4x^2-9x+2)[/tex]
The leading term is [tex]-8x^3[/tex], so the graph should resemble a stretched cubic curve reflected across the x axis.
The leading term is , so the graph should resemble a stretched cubic curve reflected across the x axis.
please solve this
Find H.C.F
m^3 - 1, m^4 + m^2 + 1, m^2+ m + 1
Answers
Answer:
m^2+m+1
Step-by-step explanation:
m^3 - 1= (m-1)(m^2+m+1) m^4 + m^2 + 1= m^4+2m^2+1 - m^2= (m^2+1)^2 -m^2= (m^2+m+1)(m^2-m+1)m^2+ m + 1HCF= m^2+m+1 which is the factor of all three polynomials
Two cars leave the park at the same time. One travels north at a speed of 50 km/h for 2 hours. The second car travels west at a speed of 80 km/h for 2 hours. After the 2 hours, how far apart are the two cars? Be sure to draw a diagram illustrating this situation.
Answers
Step-by-step explanation:
This question requires the Pythagorean theorem.
Car A travels north 100km in two hours.
Car B travels west 160km in two hours.
Imagine a triangle the line going up is 100km
the line going left is 160km
the formula for the Pythagorean theorem is
a^2+b^2=c^2
100^2+160^2=c^2
10000+25600=c
35600=c
√35600=c
You can draw a diagram.
A line passes through (2,-1) and (4,5). Which answer is the equation of the line?
Answers
Answer:
C.
Step-by-step explanation:
Slope = m = (y2 - y1)/(x2 - x1) = (5-(-1))/(4 - 2) = 6/2 = 3
Slope - point form:
y - y1 = m(x -x1)
y - 5 = 3(x - 4)
y - 5 = 3x - 12
- 3x + y = - 12 + 5
- 3x + y = - 7
Answer:
[tex] - 3x + y = - 7[/tex]Option C is the correct option.
Step-by-step explanation:
A line passes through ( 2 , -1 ) and ( 4 , 5 )
The equation of line:
[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]
Plug the values
[tex] \frac{ y - ( - 1)}{x - 2} = \frac{5 - ( - 1)}{4 - 2} [/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \frac{y + 1}{x - 2} = \frac{5 + 1}{4 - 2} [/tex]
Add the numbers
[tex] \frac{y + 1}{x - 2} = \frac{6}{4 - 2} [/tex]
Subtract the numbers
[tex] \frac{y + 1}{x - 2} = \frac{6}{2} [/tex]
Reduce the numbers with 2
[tex] \frac{y + 1}{x - 2} = 3[/tex]
Apply cross product property
[tex]3x - 6 = y + 1[/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex]3x - y = 1 + 6[/tex]
Add the numbers
[tex]3x - y = 7[/tex]
[tex] - 3x + y = - 7[/tex]
Hope this helps...
Best regards!
HURRY TWO MINUTES PLEASE HELP
Answers
Answer:
(-1,-2)
Step-by-step explanation:
y≥-2x
y>|x+|^?
according to the graph only (-1,-1) are in the shaded area
Hurry I WILL MARK YOU AS BRAINLIEST
Answers
Answer:
Third choice is correct
Step-by-step explanation:
-2x-y=-2
-y=2x-2
y=-2x+2
3x-y=-2
-y=-3x-2
y=3x+2
These two lines intersect at (0, 2)
RE
AINING: -
48:41
Question 40 of 50
Find the equation of the straight line that passes through
(2,-3) and perpendicular to the line 3x-2y+4=0
A. 2y-3x=0
B. 3y-2x+5=0
C. 3y+2x+5=0
D. 2y-3x-5=0
Question 41 of 50
Answers
Answer:
C
Step-by-step explanation:
We start with the second line;
3x -2y + 4 = 0
3x + 4 = 2y
divide through by 2
3x/2 + 2 = y
Comparing this with standard form of y = mx + c
where m is slope
This means 3/2 is slope of the line
Since this line is perpendicular to the other line, then the product of their slopes is -1
3/2 * slope of second line = -1
Slope of second line = -1 divided by 3/2 = -2/3
We use the point slope form to find the equation of the other line
y-y1 = m(x-x1)
where m = -2/3 and (x1,y1) = (2,-3)
y-(-3) = -2/3 (x-2)
y + 3 = -2/3 (x -2)
3(y + 3) = -2(x-2)
3y + 9 = -2x + 4
3y + 5 = -2x
3y + 2x + 5 = 0
Solve the equation
—3x +1+ 10x = x +4
X=1/2
X=5/6
X=12
X=18
Answers
Answer:
x = 1/2
Step-by-step explanation:
-3x + 1 + 10x = x + 4
7x + 1 = x + 4
6x + 1 = 4
6x = 3
x = 3/6
x = 1/2
Answer:
It's (A) [tex]x\frac{1}{2}[/tex]
Step-by-step explanation:
simplify (2) - (x2-x3+2x-1)
Answers
Answer:
-x + 3
Step-by-step explains:
Um... You can do it on a computer...
...................
Answers
Answer:
x = a(c + b)
Step-by-step explanation:
Step 1: Add b to both sides
x/a = c + b
Step 2: Multiply both sides by a
x = a(c + b)
Can any one please help me I really need help please help me thank you
Answers
Step-by-step explanation:
Plug in -2 whenever u see x
3(-2) -7= 5(-2-1)
-6-7= -10-1
-13 = -11
Therefore, x is not equal to -2.
Please answer this in two minutes
Answers
Answer:
D. 1800°
Step-by-step explanation:
The given polygon has 12 sides.
The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.
Where n is the number of sides of the polygon.
Thus, the sum of the interior angles of the 12 sided polygon given above is:
(12 - 2) × 180
= 10 × 180 = 1800°
Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°
What is X^2-9=0 I really need the answers
Answers
Answer:
X^2-9=0 is x2 = 9
Step-by-step explanation:
So X=3
Two points A (-2, 9) and B (4, 8) lie on a line l.Find the distance between points A and B.
Answers
Answer:
[tex]\sqrt{37}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 2, 9) and (x₂, y₂ ) = B(4, 8)
d = [tex]\sqrt{(4+2)^2+(8-9)^1}[/tex]
= [tex]\sqrt{6^2+(-1)^2}[/tex]
= [tex]\sqrt{36+1}[/tex]
= [tex]\sqrt{37}[/tex] ≈ 6.1 ( to 1 dec. place )
Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 6 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days?
Answers
Answer:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Company A will charge $ 37 less than Company B
Part C:
Company A will charge $ 65 less than Company B
Step-by-step explanation:
Part A:
Equation for Company A:
x = Number of days renting a car
35x + 15
Equation for Company B:
x = Number of days renting a car
42x + 10
Part B:
Renting a car for 6 days
Company A:
35 * 6 + 15 = 210 + 15 = $ 225
Company B:
42 * 6 + 10 = 252 + 10 = $ 262
Company A will charge $ 37 less than Company B
Part C:
Renting a car for 10 days
Company A:
35 * 10 + 15 = 350 + 15 = $ 365
Company B:
42 * 10 + 10 = 420 + 10 = $ 430
Company A will charge $ 65 less than Company B
The ratio of boys to girls in a group is 5:3. If there are 24 more boys than girls, work out how many girls there are
Answers
Answer:
36
Step-by-step explanation:
Let's call the # of boys and girls 5x and 3x respectively. We can write:
5x = 3x + 24
2x = 24
x = 12 so the # of girls = 12 * 3 = 36
Answer:
36 girlssolution,
Let the number of girls be X
Number of boys be 'x+24'
Now,
[tex] \frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36[/tex]
hope this helps..
Good luck on your assignment..
I need some help on this
Answers
Answer: The answer is B
Step-by-step explanation:
Answer:
Option B is correct
Step-by-step explanation:
cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2
=> Option B is correct