Answer:
The two consecutive even integers
:
(
4
,
6
)
or
(
−
6
,
−
4
)Step-by-step explanation:
n
and
n
−
2
be the two consecutive even integers,where
n
∈
Z
Product of
n
and
n
−
2
is 24
i
.
e
.
n
(
n
−
2
)
=
24
⇒
n
2
−
2
n
−
24
=
0
Now,
[
(
−
6
)
+
4
=
−
2
and
(
−
6
)
×
4
=
−
24
]
∴
n
2
−
6
n
+
4
n
−
24
=
0
∴
n
(
n
−
6
)
+
4
(
n
−
6
)
=
0
∴
(
n
−
6
)
(
n
+
4
)
=
0
∴
n
−
6
=
0
or
n
+
4
=
0
...
→
[
n
∈
Z
]
⇒
n
=
6
or
n
=
−
4
(
i
)
n
=
6
⇒
n
−
2
=
6
−
2
=
4
So,the two consecutive even integers
:
(
4
,
6
)
(
i
i
)
)
n
=
−
4
⇒
n
−
2
=
−
4
−
2
=
−
6
So,the two consecutive even integers
:
(
−
6
,
−
4
)
A cone has a height of 13 inches and a radius of 6 inches. What is its volume?
Answer:
7 because length times width = volume
Are the following fractions
equivalent? Explain what
strategy you used to find
your answer 4/9 and 8/18
Answer:
they are
Step-by-step explanation:
the simplest form 8/18 is 4/9
Can someone help with this question please
Answer:
[x - 5]² + [y + 7]² = 6²
Step-by-step explanation:
It should be noted:
Equation of circle: (x - h)² + (y - k)² = r²"h" represents the x coordinate of the center point, "k" represents the y coordinate of the center point, and "r" represents the radius of the circle.
⇒ h = 5; k = -7; r = 6When the values are substituted:
[x - 5]² + [y - (-7)]² = 6²
⇒ [x - 5]² + [y + 7]² = 6² = 36
Steve says,
“There are more prime numbers between 20 and 30 than there are between 10 and 20" Is Steve right?
Answer:
prime numbers between 20-30 are 23,29
prime numbers between 10-20 are 11,13,17,19
No,Steve is not right
Reason-there are two prime numbers between 20 to 30.Whereas there are 4 prime numbers between 10 to 20.
A triangle has two sides of length 11 and 12. What is the smallest possible whole-number length for the third side? NO LINKS
Answer: The answer would be 16.
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\11^2+12^2=c^2\\121+144=c^{2} \\\sqrt{265} =\sqrt{c^2} \\c=16.27\\c=16[/tex]
16 is the smallest possible whole number for the length of the third side. By using the Pythagorean Theorem, we are able to find the third side.
If UV=p+13 and RT=p–1, what is the value of p?
Answer: 15
Step-by-step explanation:
Please someone help me with nine through 16 I’m not understanding it and I really need some help! The instructions are in bold.
Answer:
Hey there!
9) Answer: D. :---- (x +8)(x-8)
10) Answer: P. :------(x-2y)^2
11) Answer: D. :-----(2a+3b)*(2a-3b)
12) Answer: P. :-----(a+4b)^2
13) Answer: P. :-----(x-3)^2
14) Answer:. D. :----(5xy+9z)*(5xy-9z)
15) Answer: P. :-----(2a+1)^2
16)Answer: D. :---(4ab+5)*(4ab-5)
write 0.216 as a rational number in lowest terms
Answer:
[tex]=\frac{27}{125}[/tex]
Step-by-step explanation:
[tex]0.216[/tex]
[tex]\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}[/tex]
[tex]\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000[/tex]
[tex]=\frac{0.216\cdot \:1000}{1000}[/tex]
[tex]=\frac{216}{1000}[/tex]
[tex]216,\:1000[/tex]
[tex]\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}[/tex]
[tex]2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]
[tex]=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3[/tex]
[tex]2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}[/tex]
[tex]=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5[/tex]
[tex]\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}[/tex]
[tex]=2\cdot \:2\cdot \:2[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8[/tex]
[tex]=8[/tex]
[tex]=\frac{8\cdot \:27}{8\cdot \:125}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:8[/tex]
[tex]=\frac{27}{125}[/tex]
Hence, the correct answer is [tex]=\frac{27}{125}[/tex]
Tell whether (2, 5) is a solution of the equation y = 2x + 1. Show your work. I’LL PUT YOU AS BRAINLIEST
Answer:
The solution of (2,5) indeed equals the solution of the equation y=2x+1
Step-by-step explanation:
to solve just plug in the values.
y=2(2)+1 which gives us the y value of y=5
to solve for x, plug in y. 5=2x+1.
subtract 1 from both sides, and you get 4=2x
then divide 2 on both sides to get x, which is 2. therefore this is true.
please rate and mark as brainlest.
PQRS is a cyclic quadrilateral in which RS is the shortest side. If PS and QR are produced to meet at T such that ST=RT, then prove that PRS=QRS.
Given that ST = RT and PS and QR are produced to meet at T, the
congruency of the angles and the included side proves;
ΔPRS ≅ ΔQRS by Angle-Side-Angle rule of congruency How can the triangles be shown to be congruent?The given parameters are;
The given cyclic quadrilateral = PQRS
The produced side that meet at point T = PS and QR
ST = RT
Required:
To prove that PRS = QRS
Solution:
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ST = RT [tex]{}[/tex] 1. Given
2. ΔSRT is an isosceles triangle [tex]{}[/tex] 2. Definition of isosceles triangle
3. ∠TSR ≅ ∠TRS [tex]{}[/tex] 3. Base angles of an isosceles triangle
4. ∠TSR = ∠TRS [tex]{}[/tex] 4. Definition of congruency
5. ∠TSR and ∠PSR, ∠TRS and ∠QRS are linear pair angles 5. Definition of linear pair angles
6. ∠TSR + ∠PSR = 180° and ∠TRS +∠QRS = 180° 6. Property of linear pair angles
7. ∠TSR + ∠PSR = ∠TRS +∠QRS, 7. Substitution property of equality
8. ∠PSR = ∠QRS [tex]{}[/tex] 8. Subtraction property of equality
9. ∠RQS in ΔRQS = ∠SPR in ΔSPR [tex]{}[/tex] 9. Angle subtending the same arc formed at the circumference of a circle
10. ΔPRS ≅ ΔQRS [tex]{}[/tex] 10. By ASA rule of congruency
The Angle-Side-Angle rule of congruency states that if two angles and
an included side of one triangle are congruent to two angles and the
included side of another triangle, then the two triangles are congruent.
Learn more about congruency here:
https://brainly.com/question/2938476
Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons?
Answer:
6 liters
Step-by-step explanation:
The ratio of lemons to water is 4:3. When the amount of lemons is 8, that menas the ratio is doubled, so then it is 8:6. The answer is 6 litres.
Jenny's school play started at 9:30 AM. It lasted 2 hours and 10 minutes. What time did the play end?
Answer:
11:40
Step-by-step explanation:
9:30 and 2 hours and 10min is 11:40
Mrs. Harper asked the class to find the area of an isosceles trapezoid.
Suzy decomposed the trapezoid and rearranged the parts to form
a rectangle of equal area as shown.
Which pair of expressions represents the area
of the trapezoid and rectangle?
12(5 X 4) and (8 – 3)(4)
12(2 + 8)(4) and (2 + 3)(4)
8 X 5 and 2(5)(4)
2(8 + 4) and (8 – 2)(4)
1/2(2 + 8)(4) and (2 + 3)(4)
area of trapezoid:
[tex]\sf \dfrac{1}{2} (a + b) *h[/tex]
Here:
height: 4 unita, side 1: 2 unitb, side: 8 unitslant height: 5 unitSo area of this trapezium:
[tex]\sf \dfrac{1}{2} (2 + 8) *4[/tex]
[tex]\sf 20 \ units[/tex]
area of rectangle:
length * width
5 * 4
20 units²
Area of trapezoid:-
1/2(Sum of parallel sides)(Height)Put the values
1/2(2+8)(4)2(10)20units²how do i solve this pls help
Answer:
tv-uv=tu
(7*3)-4=17
Step-by-step explanation:
45-(6x+10)= 7x-4
45-6x-10= 7x-4
35-6x=7x-4
+6x=+6x
35=13x-4
+4=+4
39=13x
x=3
3 (x + 4) + 2 (2x - 3)
Answer: 7x + 6
Step-by-step explanation:
Use distribution property
(3x + 12)+(4x - 6)
Combine like terms
7x + 6
Answer:
7x + 6
Step-by-step explanation:
Apply the distributed property, so it now looks like this: (3x + 12) + (4x - 6)Combine like terms: 7x + 6I hope this helps!
Divide x4-3x3-5X2-7x-9 by x + 1.
The division of x4-3x3-5X2-7x-9 by x + 1. yields; x²-4x²-x-6 with a remainder of -3.
Division of polynomialsFrom the task content;
It follows that the division can be carried out using the long division method.The division of the polynomial x⁴-3x³-5x²-7x-9 by (x+1) therefore yields; x²-4x²-x-6 with a remainder of -3.
Read more on polynomial division;
https://brainly.com/question/24662212
A fish population that started at 250 has begun to decrease by 12 percent each week. Which equation below could be used to model this situation?
P=250(0.12)x
B
P=250(0.88)x
C
P=12(250)x
D
P=−250(0.12)x
250 - 250 * 12% = 250 * (1 - 12%) = 250 * 0,88
with x = fish number
=> P = 250 * 0,88 * x
Answer: A. P=250(0.12)x
Step-by-step explanation:
12%= 0.12
250 x 0.12 = the amount decreased by each week
Area of rectangle L
…………………..
PLEASE HELP ME!!!!!
If m
Answer:
could you add more details? you only put ¨ if M¨
Step-by-step explanation:
Answer:
[tex]if \: m \: then \: m \: can \: be \: any \: variable.[/tex]
What’s the code for this puzzle, each answer equals a letter
Answer:
CIAE
Step-by-step explanation:
Maria did the work to see if 8 is a solution to the equation s minus 3 = 11.
s minus 3 = 11. 8 minus 3 = 11. 5 = 11.
Does her work show that 8 is a solution to the equation?
Yes, because the last line of the work is true.
Yes, because 11 minus 8 equals 3.
No, because 8 is even and the other numbers in the equation are odd.
No, because the last line of the work is not true. 5 and 11 are not equal.
Answer:
No, because the last line of the work is not true. 5 and 11 are not equal.
Step-by-step explanation:
Answer:
D
Step-by-step explanation: it kinda shows the answer.
Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.17 per pound. After buying the coffee, she had $55.49 left on her card. How many pounds of coffee did she buy?
Answer:
I think you need more info
Answer:
Pretty sure the answer is 3 pounds you can pretty much repeatedly take away 8.17 from 80 till you get 55.49
80 - 8.17 = 71.83
71.83 - 8.17 = 63.66
63.66 - 8.17 = 55.49
so 3 Pounds since you took 8.17 three times to get 55.49
please answer quickly
HELP ASAP ILL GIVE BRAINIEST!
What is the median of the data set represented by the dot plot?
Answer:
the median is 36
Step-by-step explanation:
31, 34 , 34 , 35 37, 38 ,38 39
1. 2. 3. 4. 5. 6. 7. 8
(i put the numbers below because i like umm doing this weird technique where i count it)
since theres no median there then you have to add 35 and 37 then divide by 2
What is 17/100 + 6/10 = ?
thx if you helped
Answer:
0.77
Step-by-step explanation:
correct me if im wrong this is just what i got
find the length of the sides and area of the square of 44cm
Answer:
Step-by-step explanation:
The length of the sides is 44 cm. Did you mean the diagonal? it is 44*sqrt(2) = 62.23
The area = side * side = 44 * 44 = 1936
Answer:
This is the correct answer with step by step explanation
true or false: A triangle can be made by segments that are 15.9 cm, 10 cm and 25.9 cm.
Answer:
false
Step-by-step explanation:25.9cm is too big to connect to 15.9cm and 10 cm
use the distributive property to simply 3[ n-5) =
Answer:
3n - 15
Step-by-step explanation:
3 multiplied by n which is 3n
Then 3 multiplied by 5 which is 15
So your answer is 3n - 15
Hope I helped :)
Please consider Brainliest
Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year? A. $12,418. 43 B. $13,660. 27 C. $15,026. 30.
Answer:
B $13,660.27
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
ANSWER
14.3
EXPLANATION
angle = 21⁰
opposite side = 5.5
adjacent side = x
Knowing this, we must use tangent (opposite / adjacent)
tan (21⁰) = 5.5 / x
x = 5.5 / tan (21⁰) (use calculator)
x= 14.3