Answer:
Possible length range of third side is between 3<x<21.
Step-by-step explanation:
Sum of two sides of triangle cannot be equal or less than third side. Therefore, one side length of a triangle must be between subtract and sum of other two sides. Than, range of third side is:
[tex](12-9)<x<(12+9)\\3<x<21[/tex]
The fourth term of an arithmetic sequence is 8. if the common difference is 2, what is the first term
The first term of the given arithmetic sequence is 2.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
Given that, the fourth term of an arithmetic sequence is 8 and the common difference is 2.
Here, a₄=a+(4-1)×2
8=a+6
a=2
Therefore, the first term of the sequence is 2.
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What values of k makes the equation true?
solve the equation w/4=32
99 Points (again..)! Are these Equations Linear Or nonlinear?
72=x3+y
y+1=5(x−9)
7y + 2x = 12
4y = 24
Hi There!
1. Not Linear (Because it has a exponent)
2. Linear (Stated in Point Slope Form)
3. Linear
4. Linear
Hope This Helps :)
the altitude to the hypotenuse of a right triangle is the geometric mean between the segments on the hypotenuse
A. always
B.sometimes
C. never
Option: A is the correct answer.
A. always
Step-by-step explanation:Right Triangle Altitude Theorem--
It states that when an altitude is drawn from the the vertex containing the right angle to the opposite side i.e. hypotenuse then the length of the altitude is the geometric means between the segments on the hypotenuse.
i.e. if we consider a right angled triangle ΔCAB with right angle at A.
Then if a altitude AD is drawn from vertex A then we have:
[tex]AD=\sqrt{CD\cdot DB}[/tex]
Simplify the following expression?
1/2(22m+30)
, , and are tangent to circle o through points c, b, and e, respectively. if mdaf = 66° and mfda = 56°, what is meob?
To convert a fraction to a decimal, you have to divide ________ by the _________?
Will give brainliest?
the top number of a fraction is the numerator, the bottom number is the denominator
to turn a fraction into a decimal divide the numerator by the denominator (Top number by the bottom number)
1. If 1/2 is added to three times the reciprocal of a number, the result is 1. Find the number.
2. The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equal to 5/7 . What is the original fraction?
TYYYSMMMM
Is the ordered pair (-2, 9) a solution of the equation y = x – 7?
The ordered pair (-2, 9) is not a solution of the equation y = x – 7.
Explanation:To determine if the ordered pair (-2, 9) is a solution of the equation y = x – 7, we can substitute the values of x and y into the equation and see if it is true.
Plugging in the values, we have 9 = -2 - 7. Simplifying, we get 9 = -9. Since this statement is false, the ordered pair (-2, 9) is not a solution of the equation y = x – 7.
Final answer:
The ordered pair (-2, 9) is not a solution to the equation y = x − 7 because when you substitute x with -2, the equation yields y = -9, not y = 9 as suggested by the ordered pair.
Explanation:
To determine if the ordered pair (-2, 9) is a solution to the equation y = x − 7, we need to substitute the x-value from the ordered pair into the equation and see if the resulting y-value matches the one in the ordered pair.
Let's substitute x = -2 into the equation:
y = (-2) − 7
y = -2 − 7
y = -9
This means that when x is -2, y should be -9 according to the equation. However, the y-value given in the pair is 9, not -9. Therefore, the ordered pair (-2, 9) is not a solution to the equation y = x − 7.
Nathan's rental costs for a 5-day trip are $234 in rental fees, plus 4 percent tax, plus $20 a day car insurance. What total did he pay for the rental?
A. $214.36
B. $343.36
C. $263.36
D. $254
n/5 greater than or equal to 11
Answer:
n = 55
Step-by-step explanation:
55/5 = 11!
Greater than or equal to 11 and 55 is greater than, 11.
The answer 55 also works with /5!
Please make sure to take care and have a great day!
Serra rode 15 mi in 1.5 hr. Phaelon rode 38 mi in 3.5 h. Justice rode 22 mi in 2.25 hr. Who had the fastest average speed?
Using the formula of average distance = total distance traveled / total time taken, we find that Phaelon had the fastest average speed of 10.86 mi/hr.
Explanation:To find out who had the fastest average speed, we'll need to calculate the average speed for each person. We can do this by dividing the total distance traveled by the total time taken.
Serra's average speed: 15 mi / 1.5 hr = 10 mi/hr
Phaelon's average speed: 38 mi / 3.5 hr = 10.86 mi/hr
Justice's average speed: 22 mi / 2.25 hr = 9.78 mi/hr
So, by comparing these speeds, we can conclude that Phaelon had the fastest average speed of 10.86 mi/hr.
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Leona spent $22.95 at the mall. She bought a T-shirt and a book. The book $12.25. How much did the T-shirt cost?
A. Write the equation that models the problem.
B. Solve the Equation.
C. Answer the question.
A) Let x = cost of t-shirt:
x= 22.95-12.25
B) x = 22.95 -12.25 = 10.70
C) the t-shirt cost $10.70
Solve the equation P=2q+2w for q
Which choice correctly expresses the number below in scientific notation 0.0000431
What are the key variables that must be weighed against each other when considering an HMO, PPO, fee-for-service, or other plan?
How to algebraically find the inverse of a function?
The inverse function of y = 3x + 2 is y = ( -x + 2 )/3 obtained by switchig the places of x and y.
What is a function?A function can be thought of as an output for the given set of inputs.
To find the inverse of a function algebraically first we have determine whether the given function is one-to-one or not. A one-to-one function is a function in which each different value of the domain corresponds to a different value in the range of the function.
Suppose we have a function f(x) = 3x + 2 which can be written as y = 3x + 2.
Now to obtain the inverse of this function we have to switch x and y in their respective places and solve for y.
∴ y = 3x + 2
x = 3y + 2.
3y = - x + 2.
y = ( -x + 2 )/3.
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20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of gas. In Chicago, a gallon of self-serve regular gasoline cost $1.76 in May and $2.13 in June. Write an equation that could be used to determine the cost of gasoline during any month in 2000. (Hint: use 1 to represent January.)
A) y = .37x + 5
B) y = .37x + 1.76
C) y = .37x + 2.13
D) y = .37x - .09
The length of Leland’s garden is 15m 24cm.the length of his friend garden is 2m 98cm more than Leland’s . What is the length of his friend garden ?
His friend's garden is 18.22 meters long.
R (Read):
Leeland's garden is 15 meters and 24 centimeters long.
His friend's garden is 2 meters and 98 centimeters longer than Leeland's.
We need to find the length of his friend's garden.
D (Define):
Let L be the length of Leeland's garden in meters.
Let F be the length of his friend's garden in meters.
W (Write):
We can write the given information as equations:
L = 15.24 meters (converting 24 cm to meters)
F = L + 2.98 meters
Solve:
Substitute equation 1 into equation 2:
F = (15.24 meters) + 2.98 meters
F = 18.22 meters
∠C and ∠D are vertical angles with m∠C=−2x+90 and m∠D=x−30 .
What is m∠D?
In science class, the girl to bot ratio is 3 to 7, if there are 50 students total in the class, how many are boys
c = 0.20m+2.00 what is the charge for 2.7 mile ride?
A skater has a weight of 500-N. The skate blades are in contact with the ice over an area of 0.001m^2.what is the pressure exerted on the ice by the skater
The pressure exerted on the ice by the skater, who weighs 500-N and has blade contact area of 0.001 m², is 500,000 Pa (Pascals).
Explanation:The question is asking about the pressure exerted on the ice by a skater. To find the pressure, we use the formula P = F/A, where P is the pressure, F is the force, and A is the area in contact with the ice.
If the skater weighs 500-N and is gliding on one skate blade, which has an area of contact of 0.001 m2, the pressure is calculated by dividing the weight by the area. Using the provided data from the similar situation of a skater with a weight of 736 N and a blade area of 5.0 × 10-4 m2, we would calculate the pressure using these figures. However, we need to calculate the pressure using the data specific to this skater, with a weight of 500-N and a blade area of 0.001 m2.
The pressure exerted on the ice can be calculated as:
P = 500 N / 0.001 m2 = 500,000 Pa (Pascals)
Ashley drove 5 hours and 45mins and drove 391 miles. How far did she drive in 1 hour
Anna is conducting a study about the effects of toxins in the water on the hormones of fish. Anna surveys 420 male fish in a river and finds that 130 of the male fish have egg cells growing inside them. According to Anna's survey, what is the ratio of male fish with egg cells to male fish without egg cells in the river?
The ratio of male fish with egg cells to male fish without egg cells is 130:290, which simplifies to 13:29.
To determine the ratio of male fish with egg cells to those without, you must subtract the number of male fish with egg cells from the total number of surveyed male fish. According to Anna's survey, she found that 130 male fish out of 420 had egg cells. This implies that 420 - 130 = 290 male fish do not have egg cells.
Now, to find the ratio:
Male fish with egg cells: 130
Male fish without egg cells: 290
The ratio of male fish with egg cells to male fish without egg cells is 130:290. This ratio can also be simplified by dividing both parts by the greatest common divisor, which is 10 in this case. After simplification, the ratio becomes 13:29.
Juan has invested $3500 in a stock transaction. He later sold the stock and received $4553.50. What was Juan's return on investment (ROI)?
A.) about 23.1%
B.) about 130%
C.) about 76.9%
D.) about 30.1%
A plane flies x mph. How far can it go in y hours?
Which expression represents this?
A.) x/y miles
B.) xy miles
C.) x + y miles
which is equivelent to 256 2/5
Saidhari bought a toaster oven for $60. this price was 1/4 The list price. What is the list price