Can sides of a triangle have lengths 3,4,9

Answers

Answer 1

Answer:

No, the lengths 3, 4, and 9 cannot form the sides of a triangle.

What is Triangle Inequality?

The triangle inequality is a fundamental geometric principle that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

We have sides as 3, 4 and 9.

For a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.

In this case, let's check if this condition is satisfied:

3 + 4 = 7

7 is less than 9

Therefore, these lengths do not satisfy the triangle inequality theorem, and a triangle cannot be formed with side lengths 3, 4, and 9.

Learn more about triangle inequality theorem here:

brainly.com/question/30956177

#SPJ2

Answer 2

Answer:

Answer:

yes

Step-by-step explanation:

Related Questions

6x + 2y = 10 in slope intercept form
One step equations with fractions
Canada Olympic Park features sports training and entertainment facilities.The monster Zip line produces average speed of 120 kilometers per hour. A smaller line produces speeds represented by the function d=50h where d is the distance in kilometers after h hours. How much farther could you travel on the Monster Zip line in 0.25 hoursThe answers I can choose are 18km16km20km17.5km
Using the quadratic formula to solve 2x^2 = 4x – 7, what are the values of x?
Select all sets that contain the number TA. Integer B. Irrational C. Natural D. Rational E. Whole

This is grade 9 math, it's all one question and I'm having trouble understanding.

Answers

The solutions for the given problems we have:

1) The solution of the inequality is:

x ≤ 2

2) The absolute value equation has two solutions:

z= 2

z = -12

3) The correct matches are:

5y + 2 = 5y + 8 this has no solutions

2*(y + 4) = 2y + 8 this has infinite solutions

5y + 2 = 2y + 8 This has a single solution.

Here, we have,

Remember that solving means to isolate the variable in one side of the expression.

1) We have the inequality:

-4x + 17 ≥ 9

-4x ≥ 9 - 17

x ≤ -8/-4

x ≤ 2

This is the solution of the inequality.

2) We have the absolute value function:

|5 + z| + 3 = 10

|5 + z| = 10 - 3 = 7

We can decompose this into:

5 + z = 7

5 + z = -7

Then the two solutions are:

z = 7 - 5 = 2

z = -7 - 5 = -12

3) The correct matches here are:

5y + 2 = 5y + 8 this has no solutions, these are parallel lines.

2*(y + 4) = 2y + 8 this has infinite solutions (all real numbers).

5y + 2 = 2y + 8 This has a single solution.

Learn more about inequalities:

brainly.com/question/24372553

#SPJ1

complete question:

HELP ASAP 30 POINTS 9TH GRADE MATH. WILL GIVE BRAINIEST IF CORRECT

Solve.

Question 1.

-4x + 17 ≥ 9.

Question 2.

| 5 + z | + 3 = 10.

Question 3.

Match to the correct one

5y + 2 = 5y + 8. 1. All real numbers

2 (y + 4) = 2y + 8. 2. No solutions

5y + 2 = 2y + 8 3. Infinity many solutions.

A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water level and the number of hours the pool is draining. Find the constant of proportionality. Then find the change in the water level at 9 hours and at 23 hours of draining.Draining Swimming Pool
Hours Draining
Change in Water Level (in.)
2
3.5
9
?
17
29.75
23
?
The swimming pool is draining at a rate of
nothing inches per hour.
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.

Answers

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

Final answer:

The constant of proportionality is 1.75 inches per hour. The change in water level at 9 hours of draining is 15.75 inches, and at 23 hours of draining it is 40.25 inches.

Explanation:

The constant of proportionality represents the rate at which the water level is changing over time. To find the constant of proportionality, we can use the formula: constant of proportionality = change in water level / number of hours. Comparing the data in the table, we can find that when the number of hours is 2, the change in water level is 3.5. Therefore, the constant of proportionality is 3.5 / 2 = 1.75 inches per hour.

Next, to find the change in water level at 9 hours, we can multiply the number of hours by the constant of proportionality: 9 x 1.75 = 15.75 inches. Similarly, for 23 hours, the change in water level is 23 x 1.75 = 40.25 inches.

Learn more about constant of proportionality here:

brainly.com/question/8598338

#SPJ2

Lucy wants to put out 32 ounces of orange juice in her favorite cylindrical pitcher for her family brunch. The pitcher is 13 cm in height and has a radius of 3 cm. Will the orange juice fit? A) No, because the volume of the vase is approximately 489.84 cubic centimeters, which is equivalent to 16.56 fluid ounces. B) No, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 12.42 fluid ounces. C) Yes, because the volume of the vase is approximately 1469.52 cubic centimeters, which is equivalent to 49.69 fluid ounces. D) Yes, because the volume of the vase is approximately 367.38 cubic centimeters, which is equivalent to 10864.71 fluid ounces.

Answers

$\bf \textit{volume of a cylinder}\n\n V=\pi r^2 h~~ \begin{cases} r=radius\n h=height\n[-0.5em] \hrulefill\n r=3\n h=13 \end{cases}\implies V=\pi (3)^2(13)\implies \stackrel{V=117\pi}{V\approx367.57~cm^3}$

now, a US gallon(128 oz), has 3785 cm³, so if there are 128 oz in 3785 cm³, how many ounces are there in 367.57 cm³?

$\bf \begin{array}{ccll} oz& cm^3\n \cline{1-2} 128&3785\n x&367.57 \end{array}\implies \cfrac{128}{x}=\cfrac{3785}{367.57}\implies \cfrac{128\cdot 367.57}{3785}=x\implies \stackrel{oz}{12.4}\approx x$

so her pitcher can only hold as much as 12.4 ounces of OJ, so those 32oz won't fit in it.

How many solutions does x^2 - 2x +1 = O have?

Answers

Answer:

Step-by-step explanation:

(X-1)(X-1) are your factors which only give you one solution of x=1

copy and complete the table for the equation x^2 3x-2. Create a graph to estimate the solutions for the equation x^2 3x-2=0

Answers

Answer:

Unfortunately, I can't see the table so I can't help you there :(

But to create a graph:

We can just plug in different points and connect them! Remember, the squared makes it a parabola, so your graph should have a similar U-shaped look. If you want to see the solutions in the graph, just look for places where y=0, or where there's a point on the x-axis.

Which of the following ordered pairs represents a solution to the equation below?
y = 3x−2

Answers

Answer:

(0,-2) (1,1) (2,4)

Step-by-step explanation:

Other Questions

On a spinner p(3) =1/3 and the P(4)=2/5 What is the probabilty of getting a 3 or 4

Which of the following options best describes the function graphed below?A graph shows a slanting straight line that starts at the origin and goes up. Nonlinear increasing Nonlinear decreasing Linear increasing Linear decreasing I believe the answer is C. but I also think its D but I'm seriously stuck

Help me please it is literal equation

I need help can't get this one wrong please help me