Given:
The two sides of a triangle are 2 and 6.
To find:
The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.
Solution:
For a triangle, the sum of two smaller sides must be greater than the largest side.
Let x be the third side.
Case 1: x is the largest side, then
[tex]2+6>x[/tex]
[tex]8>x[/tex] ...(i)
Case 2: x is not the largest side, then
[tex]2+x>6[/tex]
[tex]x>6-2[/tex]
[tex]x>4[/tex] ...(ii)
From (i) and (ii), we get
[tex]4<x<8[/tex]
Here, 4 and 8 are not included.
6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.
Therefore, the correct option is D.
6. Vocabulary Tell whether each equation is in
slope-intercept, point-slope, or standard form.
a. y + 2 = -2(x - 1)
C. -x - 2y = 1
b. y = ** +9
d. y - 3 = 4x
Answer:
They are all in standard form
Step-by-step explanation:
-5g - 6 for g =2
please help
A:4
b:16
C:10
D: -13
Answer:
-16
Step-by-step explanation:
-5g - 6
-5(2) - 6
-10 - 6
-10 + (-6)
-16
HELP
Karen's music library contains 18 fewer playlists than Clarann's music library. The total number of playlists on both music libraries is 40. Find the number of playlists on each person's music library.
Answer:
let Karen's music library be represented by K
let Clarann's music library be represented by C
C = K +18
C +K =40
put C = K +18 into (C +K =40)
K + 18 +K =40
2K +18 = 40
collect like terms
2K =40 -18
2K =22
divide both sides by 2
K =11
since C = K+18
C= 11 +18
C =29
Karen's music library contains 11 playlists while Clarann's music library contains 29 playlists
Write a number that has a 6 in the thousandths place, a 5 in the hundredths place, and a 0 in the tenths place. Then write a number less than your number and greater than your number
Answer:
i am not sure bi it may be 2
solving proportions
Answer:
Out of State = 54
Step-by-step explanation:
Out of State
2/9 = x/243
= 54
Answer:
54
Step-by-step explanation:
7 in-state to 2 out-of-state
The sum of 7 and 2 is 9.
For every 9 students, 2 are out of state.
This is the proportion:
2 out-of-state is to 9 total as x out-of-state is to 243 total
2/9 = x/243
9x = 2 * 243
x = 54
Answer: 54
:))))))))))))))))))))))))))))ty
Answer:
I/rt =P
Step-by-step explanation:
to get ride of the r and t u need to divide
divide by rt
which would =to I/rt=P
Find the equation (in terms of x) of the line through the points (-2,3) and (4,-9)
y =
Answer:
y =5
Step-by-step explanation:
m=
−9−7
5−5
=
−16
0
=0
y=mx+b
5=(0)(7)+b
b=5
therefore y = 5
Answer: y = -2x - 1
Step-by-step explanation:
We can calculate the slope from the two given points. Slope is the change in y per the change in x, sometimes called the rise (y) over the run (x)
Rise is (-9 -3) = -12
Run is (4 - (-2)) = 6
Slope = Rise/Run = -12/6 = -2
The line is y = -2x + b
Find b by using either of the two known points (solutions). I'll choose (-2,3) [because I like smaller numbers]
y = -2x + b
3 = -2*(-2) + b
b = -1 [That was only slightly easier than -9 = -2*(4) + b; b = -1]
The equation is y = -2x - 1
Write x2 + 6x +13 in the form (x + a)
2 + b where a and b are integers.
Step-by-step explanation:
a and b are not integers
[tex] {x}^{2} + 6x + 13 = 0 \\ x = - 3 \pm2i[/tex]
[tex]a \: \in \mathbb{C}[/tex]
[tex]b \: \in \mathbb{C}[/tex]
5. Find the measure of the missing angle.
40°
50°
Step-by-step explanation:
40° + 90° + ? = 180°
130° + ? = 180°
? = 180° - 130°
? = 50°
Answer: 50 degrees
Step-by-step explanation: The interior angles add up to 180.
1. 40 + 90 + ? = 180
130 + ? = 180
-130 - 130
? = 50
copy the picture and put a dot on where i put it
Answer:
Step-by-step explanation:
I Hope This Help
Answer:
hERE
Step-by-step explanation:
Help how do you do this?
Solve for X: -3X + 2 + 5X - 3 = 8 + 9
Answer:
9
Step-by-step explanation:
-3x+2+5x-3=8+9
2x+-1=17
2x=18
so x equals 9
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 67 centimeters. What is the approximate area of the circle? (Use 3.14 for .)
Answer:
the area of the circle is 3,523.86
Step-by-step explanation:
Rational numbers that are not intergers
Answer:
This includes numbers that are not whole numbers (+ or -). For example, 6.79, 20,193.917017, 4/25, etc.
What is the value of x in the equation 3x/4=24
Answer:
X= 32
Step-by-step explanation:
Answer:
X = 32
Step-by-step explanation:
If you do 24 x 4 you will get 96.
From there you have to divide 3 by 96, since 3 times x has to equal to 96. Since 24 x 4 is 96 and you need to divide 3x by 4.
After you do 96/3 you will get 32. Thus the answer being 32.
Hope this helps!
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
Answer:
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
125⁵
thats it easy as much
Help!! Please :(????
Answer:
100
Step-by-step explanation:
Because they each give away 10 samples (INCLUDING JASMINE) so 10x10 equals 100 so the answer is 100
Answer:
Step-by-step explanation:
10*10=100
including jasmine with her 9 friends we have 10 people giving away 10 samples of chocolate each. Every person has to give away 10 samples. So 10 times 10. Which gives us a 100. I hope i understood your question correctly.
your answer: 100 samples given out in total
Which is the equation of the line that passes through the points (4.3) and (2. 6)? Like how I do this because I had infinite answers that was wrong one may be right
Answer: C
Step-by-step explanation: You have to graph the 2 points and plug in each answer until the slope passes through
Flights 204 and 317 are both approaching Hartsfield Atlanta International Airport from directions directly opposite one another and at an altitude of 2.5 miles. The pilot on flight 204 reports an angle of depression of 17 degrees 47 minutes to the tower, and the pilot on flight 317 reports an angle of depression of 12 degrees 39 minutes to the tower. Calculate the distance between the planes.
Answer:
19.26 milesStep-by-step explanation:
Refer to attached picture. Not to scale.
The picture explains all the given parameters.
We need to find the distance d, which is the sum of x and y.
First convert minutes to degrees:
47 min = 47/90 deg = 0.52 deg39 min = 39/90 deg = 0.43 degFind x:
x/2.5 = cot (17.52°) ⇒ x = 2.5*3.1677 ≈ 7.92 miFind y:
y/25 = cot (12.43°) ⇒ y = 2.5*4.5369 ≈ 11.34 miThe distance between the planes:
7.92 + 11.34 = 19.26 miI need help What is 2x+3y+z
Answer:
2x+3y+z
Step-by-step explanation:
There are no like terms. This equation cannot be simplified.
Given m∠14+m∠3=180° .
Which lines are parallel, if any must be parallel, based on the given information?
a∥b by the converse of the same-side interior angles theorem.
a∥b by the converse of the alternate interior angles theorem.
c∥d by the converse of the corresponding angles theorem.
Not enough information to make a conclusion.
Answer:
C) - a∥b by the converse of the corresponding angles theorem
explanation:
k12 test 100
Answer:
c
Step-by-step explanation:
what number when added to 3 2/5 gives 5
Answer:
1.6
Step-by-step explanation:
Which graph represents the rational function x^2-16/x^2-2x-8?
Answer:
8
Step-by-step explanation:
Answer:
C on edg 2022
Step-by-step explanation:
got 100%
is 1/3 more than the number 3?
Answer:
1/3 is less than 3
Step-by-step explanation:
1/3 = 0.3333 which is less than 3
You need nuts and bolts for an art project. You have $20 to spend and you can buy nuts for 45 cents each and bolts for 80 cents each. You need at least 30 pieces total. Write a system of inequalities to represent this situation. Let x = #nuts and y= # bolts.
What is 3x+4(x-8)-14
[tex]\bigstar\boxed{\large\bf\purple{\leadsto 7x -46}}[/tex]
__________________________________________
[tex]\large\sf{\underline{Given:}}[/tex]
[tex]\sf{\longrightarrow 3x +4(x-8)-14}[/tex]
[tex]\sf{\longrightarrow 3x+ 4x-32-14}[/tex]
[tex]\sf{\longrightarrow 7x - 46}[/tex]
[tex]\large\sf{\underline{Hence,\:your\: answer\:is\:7x-46}}[/tex]
What is the base in 8³
PLEASE help me for this math problem
:answer (x+5−4)(x+5+4)(x−4)
how i got it:
(x+5−4)(x−(−
2
2(5+4)
))(x−4)
WILL MARK BRAINLIEST!
Simplify 4x²+ x− (x²+x−2)
Answer:
3x²+2
Step-by-step explanation:
4x²+ x - (x²+x - 2)4x²+ x - x²-x+24x²-x²+x-x+23x²+2
For each problem, decide whether the circumference of the circle or the area of the circle is
most useful for finding a solution. Explain your reasoning
a. A car's wheels spin at 1000 revolutions per minute. The diameter of the wheels is 23
inches. You want to know how fast the car is travelling. Select)
b. A circular kitchen table has a diameter of 60 inches. You want to know how much fabric is
needed to cover the table top. Select)
c. A circular puzzle is 20 inches in diameter. All of the pleces are about the same size. You
want to know about how many pieces there are in the puzzle.
[ Select)
d. You want to know about how long it takes to walk around a circular pond.
[ Select
I will give brainliest! I just need an correct expression to this. You do not have to give answer :)
try 6+14-11
that's what I think
Answer:
+6+14-11, may be the correct expression there