Answer:
0.6
Step-by-step explanation:
I took the quiz
Answer:0.6
Step-by-step explanation:
If a²+b²=8ab, determine (a+b) in terms of a and b
[The question's not wholly right! Since, (a+b) has a and b in it, it already is in terms of a and b. Here, we'll be representing (a+b) in terms of ab]
Answer:
[tex]\mathsf{\sqrt{10ab} }[/tex]
Step-by-step explanation:
We have the rules of indices, one of which is:
[tex]\boxed{\large{\mathfrak{(a+b)^2=a^2+b^2+2ab}}}[/tex]
Indices are the powers, the numbers written as superscript in front of a variable or the numbers that come along with "^". It shows how many times a number is to be multiplied by itself.
In the question, we're provided with one equation, i. e.,
a² + b² = 8ab . . . . . . . . (¡)And, were asked to find out the value of (a+b) in terms of ab.
The above rule has variables that fit in the question efficiently!
So, instead of solving for (a+b), we'll be solving for (a+b)², then go for (a + b):
=> (a + b)² = (a² + b²) + 2ab
from eqn. (¡):
=> (a + b)² = 8ab + 2ab
=> (a + b)² = 10ab
taking under root on both the sides:
=> (a + b) = [tex]\mathsf{\sqrt{10ab} }[/tex]
That's the answer, [tex]\mathsf{\sqrt{10ab} }[/tex]!
[tex]\overline{\mathfrak{Hope \:this \:makes\: sense!}}[/tex]
17. Determine if the following segments can or cannot be a triangle.
3 m., 4 m., and 1 m.
⬜ Yes ⬜ No
12 ft., 3 ft., and 11 ft.
⬜ Yes ⬜ No
24 in., 13 in., and 5 in.
⬜ Yes ⬜ No
9.81 m., 16 m., and 6.19 m.
⬜ Yes ⬜ No
5 yds., 13 yds., and 10 yds.
⬜ Yes ⬜ No
2.5 cm., 2.5 cm., and 2.5 cm.
⬜ Yes ⬜ No
6 mm., 4 mm., and 9 mm.
⬜ Yes ⬜ No
7 ft., 7 ft., and 7 ft.
⬜ Yes ⬜ No
Answer:
Step-by-step explanation:
1. 5 cm, 7 cm, 10 cm
SOLUTION:
The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side.
5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
Thus, you can form a triangle with side lengths 5 cm,
7 cm, and 10 cm.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
PROOF Write a two-column proof.
5. Given:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Substitution Property.)
ANSWER:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
No;
9. 2.1 in., 4.2 in., 7.9 in.
ANSWER:
No;
10.
No;
11.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
ANSWER:
4 ft < n < 12 ft
13. 5 m, 11 m
ANSWER:
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
ANSWER:
17.
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. (Conv. Isos. Thm.)
3. BC = BD (Def. of segments)
4. AB + AD > BD ( Inequal. Thm.)
5. AB + AD > BC (Subst.)
19. Given:
Prove: KJ +KL> LM
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequality Thm.)
4. KJ + KL > LM (Substitution Property)
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
Notice that is always true for any whole
number measure for x.The range of values that
would be true for the other two inequalities is
and , which can be written as
.
ANSWER:
6 < x < 17
21.
ANSWER:
22. TRAVEL Keyan wants to take the most efficient
route from his hotel to the hockey game at The
Sportsplex. He can either take Highway 521 or
take Highway 3 and Route 11 from his hotel to the
arena.
a. Which of these two possible routes is the shorter?
Explain your reasoning.
b. Suppose Keyan always drives the speed l
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
1. 5 cm, 7 cm, 10 cm
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
ANSWER:
B
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
SOLUTION:
T
No;
9. 2.1 in., 4.2 in., 7.9 in.
No;
10.
ANSWER:
No;
11.
.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
4 ft < n < 12 ft
13. 5 m, 11 m
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
SOLUTION:
Set up and solve each of the three triangle
inequalities.
ANSWER:
6 < x < 17
21.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
ANSWER:
No;
9. 2.1 in., 4.2 in., 7.9 in.
What is 4.4 dvided 1.85
Answer:
2.378378378
Step-by-step explanation:
rounded it would be 2.4
Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.
Given: m∠LOM = m∠JKI;
m∠MON = m∠IKH
Prove: m∠LON = m∠HKJ
Answer:
what is the problems from
PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!
Find the direct variation.
if y=28 when x= 168, find y when x =108.
Answer:
18
Step-by-step explanation:
168 : 28 : : 108 : y
168 / 28 = 108 / y
6 = 108 / y
6 * y = 108
y = 108 / 6
y = 18
Answer:
y = 18
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 28 when x = 168
28 = 168k ( divide both sides by 168 )
[tex]\frac{28}{168}[/tex] = k , that is
k = [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6}[/tex] x ← equation of variation
When x = 108 , then
y = [tex]\frac{1}{6}[/tex] × 108 = 18
2/3-(-5/3)
Find the difference. Write fractions in simplest form.
Answer:
Step-by-step explanation: to solve this we'd do 2-(-5) which is the same as 2 + 5 which is 7. final answer is 7/3 or if its a mixed number, 2 1/3
How do I answer that question
Answer:
9
Step-by-step explanation:
7³÷7⁷=9
it is correct right?
Alex's school had 20 hours for 400 students. Abbey's school has 225 students riding 15 uses. Whose school has the greater ratio of students/buses?
Answer:
20/400 or 20 to 400
Step-by-step explanation:
Graph the solution to 40x? +90x+ + 65x + 15 >0 on a number line.
Answer:
the answer is B
Step-by-step explanation:
the answer is B
Plz help it’s due tonight!!!
Answer:
T = N
Step-by-step explanation:
Use the Pythagorean theorem to find x, in simplest radical form
Answer:
[tex]4\sqrt{21}[/tex]
Step-by-step explanation:
Pythagorean theorem is [tex]a^{2} +b^{2} =c^{2}[/tex].
Which in this case:
'c' is hypotenuse. (hypotenuse = 20)
'a' and 'b' are the other sides. (a = x, b = 8)
[tex]a^{2} +b^{2}= c^{2}[/tex] [tex]x^{2} +8^{2} =20^{2}[/tex] [tex]x^{2} + 64 = 400[/tex] [tex]x^{2} = 336[/tex]Now we should just take square root from the both sides.
and the answer will be [tex]\sqrt{336}[/tex] or [tex]-\sqrt{336}[/tex], but a side of a triangle can not be a negative number! so the answer will be [tex]\sqrt{336}[/tex].
As you see [tex]\sqrt{336}[/tex] is not the simplest radical.
We can write [tex]\sqrt{336}[/tex] as [tex]\sqrt{16 * 21}[/tex].
And from the laws of radical we can write [tex]\sqrt{16*21}[/tex] as [tex]\sqrt{16} * \sqrt{21}[/tex].
[tex]\sqrt{16} * \sqrt{21} = \sqrt{16}\sqrt{21} = 4\sqrt{21}[/tex]
I hope it helps you. Please choose my answer as the brainliest.
1.Azad has $500 and wants to go on a holiday, but does not have sufficient money. He decides to save $40 per week for a number of weeks to make up the deficit.
How much will he have saved at the end of the 5th week? Explain your answer.
2.A baker has 400kg of flour on the first day of the month and uses no flour that day. How much will he have at closing time on the 17th day of the month, if he uses 24 kg each day after that?
1. At the end of the 5th week he would have saved a total of $700
2. The amount of flour he would have at the closing time on 17th of the month will be 16kg
1.
Azad amount = $500
He wants to go on a holiday but he lacks sufficient money. This means the $500 in his possession is not enough.
He decided to save $40 dollars per week for a number of weeks to make up the deposits.
let
w = number of weeks
Therefore, his saving for any number of weeks will be
40wThe amount he would have saved for 5 weeks will be
40×5=$200
The total amount in his possession at the end of the fifth week will be 200 + 500 = $700
2.
The baker has 400 kg of flour. The first day of the month he didn't use any flour. This means on the first day of that month the flour was still 400 kg. The amount he has on the 17th day of the month can be calculated below.
The 17th day simply implies he used the flour for 16 days, the first day of the month he didn't use anything. He uses 24 kg for each day. Therefore the amount he uses for 16 days will be
16×24=384 kgThe amount he has at the closing time of 17 days of the month will be
400kg - 384kg = 16kgCheck here for similar algebra problems: https://brainly.com/question/22779754?referrer=searchResults
His CD collection went from 25 disks to 22 disks
Answer:
i-that doesn't help
Step-by-step explanation:
What’s the rise over run pleas???
9514 1404 393
Answer:
-1/5
Step-by-step explanation:
To find the ratio of rise to run on a graph, it is convenient to start by looking for points where the graph crosses the intersection of grid lines. This lets you read the exact coordinates of the points, without any guessing.
In the attachment, the grid crossings we chose are circled.
The "rise" is the vertical distance between the points. If the right point is lower, the "rise" is negative.
The "run" is the horizontal distance between the points.
The reason for choosing grid crossings is that it then becomes fairly easy to count the grid lines between the points, vertically and horizontally.
On this graph, the "rise" is -1 for a "run" of 5. Then the slope, or ratio of rise to run, is ...
m = rise/run = -1/5 . . . . . . slope of the line
Find the measure of the missing angle.
а
24°
Since that is a right angle, it equals 90 degrees.
90 - 24 = 66
66 degrees...
I hope this helps..
A cookie recipe calls for 2 eggs and makes 3 dozen cookies. How many dozens of cookies could you make with a dozen eggs
Answer: 18 dozen cookies.
Step-by-step explanation: If 2 eggs make 3 dozen cookies and you have a dozen eggs divide 12/2 = 6. Then multiply 6*3 = 18.
Answer:
18 dozen cookies
Step-by-step explanation:
2 eggs makes 36 cookies
That means 2x=36
x=18
Now plug that into the equation.
12(18)=216
216 is how many cookies
take that number and divide by 12 (for a dozen)
The revenue from selling x shirts is f(x) = 11x. The cost of buying x shirts is cx) = 6 x + 20. The profit from selling x shirts is p(x) = HX) - cx). What is p(x)?
Answer:
P(x) = 5(x) - 4(x) as 20(x) = 4(5) is added to 5(x) = 25 -20 = 5 so profit fro one shirt is set = 1 as 5 * 1 = 5 and (x) = 5
Step-by-step explanation:
11x - 6( ?)+20 = p(?) -H(?) - c (?) = 11x - p(x) = HX) - cx) = 6(x )+20 = 11x-6x -20 = 5x -20 = P(x) = 5(x) - 4(x)
I need help please help
Answer:
Im not sure
Step-by-step explanation:
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which system of linear inequalities is represented by the graph?
y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4
Answer:
(C) : y[tex]\geq[/tex] x - 2 and x + 2y < 4
Step-by-step explanation:
Answer:
(C) : y ≥ x - 2 and x + 2y < 4
Edge Unit Test 2023
x−14=−34
what does x equal.
Answer:
x = -20
Step-by-step explanation:
Add 14 to both sides to isolate the x:
x - 14 + 14 = -34 + 14
x = -20
Hope this helps!
Step-by-step explanation:
hope it helps!!!!!!!!!
Ryan borrowed $725 at an interest rate of 6.25%. How much interest will be pay if it takes 2 years to pay off his loan?
Answer:
$830 sana maka tulong po salamatVolume Of This Cylinder
Answer:
2827.4 cm
Step-by-step explanation:
Volume of cylinder
V= π*r^2*h
H= height and r= radius
H= 9cm and r = diameter ÷ 2
r= 20cm ÷2 = 10cm
V= 22/7* 10^2* 9cm
V= 2829cm^3
plssss answer the question
Solve for x
6.5 (3 – 2) + 22 = 92 - 1.5 (3x + 11)
Enter your answer in the box.
X=
can anyone's please explain how you got this answer with explanation....(if nonsense answers I will report)
Answer:
12.5%
Step-by-step explanation:
45/360×100=12.5
solve for x
2x-y=r
(Show solving steps please)
Answer:
x=r/2+y/2
Step-by-step explanation:
2x-y=r
you want x all by itself, move y first by adding y
2x = r + y
divide both r and y by 2 to leave x all by itself.
2x/2 = r/2 + y/2
2/2 = 1 so it's really 1x
x= r/2 + y/2
hey guys pls help mee!!! numbers between 2/3 and 8/9??? Thanks and also pls explain ok? <333
Answer:
2/3 = 0.667 8/9 = 0.889 Then, we compare the two decimal numbers to get the answer. 0.667 is not greater than 0.889.
Line a passes through points (3, 6) and (1, 15). Line b is parallel to line a. What is the slope of line b?
Answer:
9/-2
Step-by-step explanation:
First, find the slope
(15-6)/(1-3)
9/-2
Answer:
[tex]slope\ of \ line\ b = - \frac{9}{2}[/tex]
Step-by-step explanation:
Since line a and b are parallel, the slope of a = slope of b.
therefore,
[tex]slope\ of \ line\ a = \frac{y_2 - y_1}{x_2-x_1} \ \ \ \ \ x_ 1 = 3 , \ y_ 1 = 6 \ , \ x_2 = 1 , \ y_2 = 15[/tex]
[tex]=\frac{15-6}{1-3}\\\\=\frac{9}{-2}\\\\= - \frac{9}{2}[/tex]
[tex]= slope\ of \ line \ b[/tex]
Select the elements in
A
.
A
=
{
x
:
x
−
3
=
5
}
Answer:
3
Step-by-step explanation:
What equation could we use to solve for c?
Answer:
first answer i think beacuse it cubic
Step-by-step explanation: