Find the slope of the line from two points (9, 6) (13,11) Use the equation of the line
O A. 3/5
OB. 5/4
OC. 6/13
O D. 4/7
Answer:
C
Step-by-step explanation:
Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110°, 15°, and 45°
Ash and Bea are engravers. Ash charges a flat fee of $\$1.50$ for the first $21$ letters engraved, and $8$ cents per letter thereafter. Bea charges a flat fee of $\$1.60$ for the first $15$ letters engraved, and $7$ cents per letter thereafter. For what nonzero number of letters will Ash and Bea's engraving prices be the same?
The number of nonzero letters that will see Ash and Bea's engraving prices being the same, is 25 letters
How to find the number of letters ?The formula for the cost to engrave with Ash, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 21 letters
= 1. 50 + 0. 08 x
The formula for the cost to engrave with Bea, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 15 letters
= 1. 60 + 0. 07 x
Equating these equations together will show the number of letters :
1. 50 + 0. 08 x = 1. 60 + 0. 07 x
0. 08 x - 0. 07 x = 1. 60 - 1. 50
0. 01 x = 1. 10
x = 0. 10 / 0. 01
x = 10 letters
Number of non zero number of letters would be 25 letters :
= 15 + 10
= 25 letters
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Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v
Answer:
hhhhhhhhhhhhhhhh hhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh
Please solve with explanation
Answer:
a) -1535.5
b) 0
Step-by-step explanation:
A) We do this problem according to its parenthesis. First, let's evaluate the first half, -2[(-1/4)-12(-1)^2]. We have to do (-1)^2 first, because of PEMDAS. (-1)^2 is just 1. Now, our equation is -2[(-1/4)-12*1]. Thus, we get -2[(-1/4)-12] because 12*1 is just 12. Then, we do (-1/4)-12, giving us -12.25. Our equation becomes -2(-12.25). Then, we just get 24.5.
The next half, -5[24+2(-12)^2] is similar. We first evaulate (-12)^2 because of PEMDAS, giving us 144. Then, we have -5[24+2(144)]. 2 times 144 is 288, so we get -5[24+288]. 24 + 288 is 312, so we have -5(312). This finally gives us -1560.
Putting the two together, we get 24.5 - 1560, which is -1535.5.
--------------------------------------------------------------------------------------------------------------B) We substitute a = -1/3 and b = -1 into the equation, -a^2b^2 - 3a^3b^2.
We plug in -1/3 where a is and -1 where b is. So:
-(-1/3)^2(-1)^2 - 3(-1/3)^3(-1)^2.
The tricky part of this problem is making sure you follow PEMDAS. We evaluate the exponents first.
-1/9 * 1 - 3(-1/27) * 1
= -1/9 + 1/9
= 0
Step-by-step explanation:
good answer .qanda app Also use
How do you find the f of G in a pair of functions?
To find the domain of f(g(x)), find the domain of both the inner function g(x) and the resultant function f(g(x)) and then compute the intersection.
What is function ?
A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.
Have given ,
f of G in a pair of functions ,
Let a example that f(x) = [tex]x^{2}[/tex] and g(x) = √x + 2
To find f(g(x)), we take f(x) and everywhere there's an x, we replace it with g(x).
f(x) = x2
f(g(x)) = g(x)2
= (√x + 2)2
= x + 2√x + 4
To find the domain of f(g(x)), find the domain of both the inner function g(x) and the resultant function f(g(x)) and then compute the intersection.
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Two cars start from the same intersection with one traveling southbound while the other travels eastbound going 10 mph faster. If after 2 hours they are 10sqrt(34) apart, how fast was each car traveling?
The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?They are referred to be intersecting lines when two or more lines in a plane cross each other. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² = [tex](10 \sqrt{34})^2 \\[/tex]
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.
What is meant by intersection ?When two or more lines in a plane cross one another, they are referred to as intersecting lines. The common point shared by all intersecting lines is the point of intersection, which can be found on all of them.
What do you mean by Speed?The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
Let speed of Car 1 = x mph
Speed of car 2 = (x + 10) mph
Hence,
OA = Distance travelled by car2 in 2 hours
⇒ OA = (x + 10) × 2 = 2x + 20
And, OB = Distance travelled by Car 1 in 2 hours
⇒ OB = x × 2 = 2 x
Now, In ΔOAB, OA² + OB² = AB²
substitute the values in the above equation
⇒ (2 x+20)² + (2 x)² =
⇒ 4x² + 400 + 80x + 4x² = 3400
simplifying the equation
⇒ 8x² + 20x - 3000 = 0
⇒ x² + 10x - 375 = 0
⇒ x² + 25x - 15x - 375 = 0
simplifying the above equation, we get
⇒ x(x + 25) - 15(x + 25) = 0
⇒ (x + 25)(x - 15) = 0
⇒ x + 25 = 0, x - 15 = 0
⇒ x = -25, x = 15
Since speed can not be negative.
Hence, x = 15 mph
⇒ x + 10 = 15 + 10 = 25 mph.
Hence, speed of car moving towards south =15 mph.
And, speed of (as moving towards East = 25 mph.
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If we know the circumference of the tree trunk is 20 inches, what is the radius of that tree?
Answer:
[tex]\frac{10}{\pi}[/tex] or 3.183
Step-by-step explanation:
[tex]C=2\pi r[/tex]
If the circumference is 20 inches, plug 20 into C and solve for r.
[tex]20=2\pi r[/tex]
EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
The required graph of the system of linear equations has been attached below.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The system of linear equations is given in the question, as follows:
2x + y = 8 .....(i)
-x + 2y = 6 .....(ii)
To graph the equations using the slope and y-intercept,
1) To determine the slope m and the y-intercept, write the equation in the form y = mx + b. (0, b).
Plot the y-intercept next.
3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.
Thus, the required graph of the system of linear equations.
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please help: solve for x
Answer:
x=3
Step-by-step explanation:
Since the altitude of this triangle is at the midpoint of the base,
It is a isosceles triangle making MJ=MK
9x-18=3x
6x-18=0
6x=18
x=3
please help! it is so confusing
Answer:
4 maybe I don't understand what or how to do this but W is similar to M. I don't really know.
Step-by-step explanation:
How do you tell if a log function is increasing or decreasing?
If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x) = log_b(x),[/tex] where b is the base of the logarithm.
To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.
In the case of logarithmic functions, the derivative of [tex]f(x) = log_b(x)[/tex] is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.
Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x)=log_b(x)[/tex]. where b is the base of the logarithm.
To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.
In the case of logarithmic functions, the derivative of [tex]f(x)=log_b(x)[/tex]. is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.
Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
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Misha says that if a line crosses the x-axis before it crosses the y-axis, the
values of m and b in its equation will both be positive. Is she correct?
No, Misha is not correct in her statement that the equation will be positive.
Define Slope.A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
What are coordinate pairs?An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.
No, Misha is not correct. The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. A line can cross the x-axis before it crosses the y-axis, and the values of m and b in its equation can still be either positive, negative or zero.
For example, a line with the equation y = -2x + 1 will cross the x-axis at x = 1/2 and y-axis at (0,1) , so it crosses x-axis first but both m and b have negative values (-2 and 1 respectively).
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HELP. PLEASEPLEASE!!!
If the Standard Deviation was 3 and the average was 52, between what 2 values would contain
the middle 68%?
A) between 52 and 58
B) between 49 and 55
C) between 48 and 56
D) between two ferns
Answer:
between 49-55.
EASY POINTS PLEASE ANSWER!!
Answer:
6.68 hours
Step-by-step explanation:
A die is rolled once what is the probability of rolling not a 4
Answer:
I think 1/6
Step-by-step explanation:
A die has 6 sides so every side has 1/6 chance to land on
What is a 100 sided shape called?
Answer:
hectogon or hecatontagon or 100-gon
Step-by-step explanation:
It is a hundred - sided polygon ( shape ). The sum of all hectogon's interior angles are 17640 degrees.
Answer:
Regular exercise has been shown to aid in the prevention and management of noncommunicable illnesses such as diabetes, heart disease, stroke, and a number of malignancies. Additionally, it lowers blood pressure, supports healthy body weight, and enhances well-being through enhancing mental health.
Step-by-step explanation:
- Find the perimeter and area of the rectangle shown.
3 m
12 m
Answer:
perimeter of the rectangle=2(12m+3m)
=30m
area of the rectangle=12m×3m
=36m
▬▬▬▬▬▬▬▬▬▬▬▬▬
→ Perimeter of Rectangle = 2(l + b)
= 2(12 + 3)
= 2 × 15
= 30m
→ Area of Rectangle = l × b
= 12 × 3
= 36m
∴ The Perimeter and area of Rectangle are 30m and 36m respectively.
▬▬▬▬▬▬▬▬▬▬▬▬▬
Jack spends a total of $16.50 on one bag of popcorn and three drinks.
Jill spends a total of $29.75 for two bags of popcorn and five drinks.
Write a system of equations. Determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.
Answer:
Sure! Here's a system of equations we can set up to represent this situation:
Let x be the price of a bag of popcorn and y be the price of a drink.
Then we can set up the following system of equations:
x + 3y = 16.50 (equation for Jack's purchases)
2x + 5y = 29.75 (equation for Jill's purchases)
To solve this system of equations, we can use the substitution method.
First, we can solve for x in equation 1:
x = 16.50 - 3y
Then, we can substitute this expression for x into equation 2:
2(16.50 - 3y) + 5y = 29.75
Simplifying this equation, we get:
33 - 6y + 5y = 29.75
Combining like terms, we get:
33 - y = 29.75
Subtracting 29.75 from both sides, we get:
33 - 29.75 - y = -y
Simplifying, we get:
3.25 - y = 0
Subtracting 3.25 from both sides, we get:
-y = -3.25
Dividing both sides by -1, we get:
y = 3.25
So, the price of a drink is $3.25.
Now we can substitute this value for y back into equation 1 to solve for x:
x + 3(3.25) = 16.50
Simplifying, we get:
x + 9.75 = 16.50
Subtracting 9.75 from both sides, we get:
x = 6.75
So, the price of a bag of popcorn is $6.75.
To the nearest cent, the price of a bag of popcorn is $6.75 and the price of a drink is $3.25.
Step-by-step explanation:
find the value of 15/4 divided 5/8.show you reasong
[tex]\dfrac{15}{4} \div\dfrac{5}{8}[/tex]
In order to divide two fractions, you will need to use the KCF method.
Keep
Change
Flip
This means that we will keep the first fraction, change the division to multiplication, and flip the second fraction(reciprocal).
[tex]\dfrac{15}{4} \times\dfrac{8}{5}[/tex]
Multiply:
[tex]\dfrac{15}{4} \times\dfrac{8}{5}[/tex]
[tex]\dfrac{15\times8}{4\times5}[/tex]
[tex]=\dfrac{120}{20}[/tex]
Simplify:
[tex]120\div20[/tex]
[tex]=\fbox{6}[/tex]
Answer: 6
Step-by-step explanation:
1. 15/4 divided by 5/8 = 120/20
15/4 / 5/8 = 15/4 times 8/5 = 15 time 8 over 4 time 5 = 120/20
2. 120/6 = 6
Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality.
Answer:
It appears that the solution set of the inequality 5n + 1.5 ≥ 4 is the set of all real numbers greater than or equal to -0.3. This can be determined by looking at the graph and noting that the region to the right of the vertical line x = -0.3 is shaded, which indicates that all values of x in that region are included in the solution set.
To verify this, we can substitute -0.3 into the inequality in place of n to see if the inequality is satisfied:
5(-0.3) + 1.5 ≥ 4
This simplifies to:
-1.5 + 1.5 ≥ 4
Which further simplifies to:
0 ≥ 4
Since this is not true, -0.3 is not a solution of the inequality. However, all values of x that are greater than or equal to -0.3 are solutions, as indicated by the shaded region on the graph.
Step-by-step explanation:
The point Q has coordinates (2,3) The point R has coordinates (a,b) A line perpendicular to QR is given by the equation 5x+2y=9 Find an expression for b in terms of a
B = (2a + 11)/5 is an expression for b when expressed in terms of a.
What exactly are slopes and lines?
We are aware that lines might have several kinds of equations; the typical form is
The equation of a line in slope-intercept form is Ax + By + c = 0, and
y = mx + b.
m is the slope, and b is the y-intercept.
The y-intercept, or (0,b), is the point where the line crosses the y-axis when x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.
Given:
Coordinates of point Q = (2,3)
Coordinates of point R = (a,b)
The equation of the line is 5x + 2y = 9 ⇒ 2y = - 5x + 9
Therefore, y = (-5/2)x + 9/2.
We know slope m = (y2 - y1) / (x2 - x1)
∴ m = (b - 3)/(a - 2).
∴ (2/5) = (b - 3).(a - 2).
2(a - 2) = 5(b - 3).
2a - 4 = 5b - 15.
2a + 11 = 5b.
b = (2a + 11)/5.
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Combine like terms
1.5x + 3y + 5 + 4x + 3y + y + 8
Answer:
9x+7y+13
Step-by-step explanation:
add all the x's, y's, and no exponents together
How to solve y-2=-2(x+3) when x equals -3
What is the value 8?
The value 8 is a numerical value that represents the quantity of eight. It is the natural number following seven and preceding 9. It is an even number and can be written as the sum of two squares: 8 = 3^2 + 2^2 = 4^2. In binary, it is 1000.
Eight is in the first position and has a place value of 8. Understanding the place value of digits in numbers aids in number comparison. It also aids in the composition of numbers in their enlarged form. For example, the extended version of the previous number, 13,548, is 10,000 + 3,000 + 500 + 40 + 8.
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Lighthouse B is 9 miles west of lighthouse A. A boat leaves A and sails 4 miles. At this time, it is sighted from B. If the bearing of the boat from B is NE65, how far from B is the boat?
Answer:
The distance of the boat from B is approximately 9.4 miles
Step-by-step explanation:
The location of light house B from A = 9 miles west
The distance of the boat from A = 4 miles
The bearing of the boat from A = NE65
We have;
4/(sin25) = 9/sin(B)
sin B = 9*sin(25)/4
B ≈ 71.969
a² = 4² + 9² - 2 × 4 × 9 × cos(180 - 25 - 71.969) ≈ 88.264
The distance of the boat from B, a ≈ √88.264 ≈ 9.4
find the length of the hypotenuse of a right triangle and both legs have a length of 6
Answer:
6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
6^2+6^2=c^2
36+36=c^2
72=c^2
square root 72 is the hypotenuse
Or simplified 6[tex]\sqrt{2}[/tex]
Or decimal form 8.48528137424
Rounded 8.49
What is the measure of ∠A if it is congruent to ∠B?
If measure of angle A is congruent to measure of angle B, then angle will be equal to angle B.
Define the term congruent angles?Angles that really are identical to each other are referred to as congruent angles (and to themselves).
Angles that are congruent can also be acute, obtuse, exterior, and interior. No matter what kind of angle you have, if indeed the measure for angle one and angle two are the same, the angles are congruent.Two or more angles must have equal measurements in degrees as well as radians to be considered congruent. Congruent angles don't have to be created with the same figures or face the same direction (rays, lines, or the line segments). Both angles are congruent if the two measurements of the angles are equivalent.Thus, if measure of angle A is congruent to measure of angle B, then angle will be equal to angle B.
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Find the surface area of the prism.
Answer:
6 x 3 = 18, 18 x 2 = 36
9 x 3 = 27, 27 x 2 = 54
6 x 9 = 54, 54 x 2 = 108
Add all given areas:
108 + 54 + 36 = 198 cm^2 is your answer.
Answer:
198 is surface area
Step-by-step explanation:
length = 6
width = 9
height = 3
use the formula
2(wl+hl+hw )
2(54+ 18+ 27)
99x2 = 198