Answer:
(2-a)^2
(2+a) (2-a)...
Answer:
Step-by-step explanation:
Use the identity: a² - b² = (a+ b)(a - b)
4 - a² = 2² - a² {Here a = 2 and b = a}
= (2 +a) (2 - a)
2/3 divided by 4/5? step by step requested
Answer:
5/6
Step-by-step explanation:
When dividing fractions, multiply by the reciprocal:
2/3 ÷ 4/5
2/3 x 5/4
Multiply the numerators and denominators by each other:
= 10/12
Simplify by dividing the numerator and denominator by 2:
= 5/6
The answer is 5/6
Three consecutive odd integers have a sum of 27. Find the integers.
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Sum of three consecutive odd integers = [tex]27[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The values of the three integers.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]
[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].
As per the condition, we have
[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]
[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]
[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]
Now, collect the like terms.
[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]
[tex]➺ \: 3x + 6 = 27[/tex]
[tex]➺ \: 3x = 27 - 6[/tex]
[tex]➺ \: 3x = 21[/tex]
[tex]➺ \: x = \frac{21}{3} \\[/tex]
[tex]➺ \: x = 7[/tex]
Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]
[tex]⇢ 7 + 9 + 11 = 27[/tex]
[tex]⇢ 27 = 27[/tex]
⇢ L. H. S. = R. H. S.
[tex]\sf\blue{Hence\:verified.}[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Find the length of side xx in simplest radical form with a rational denominator.
Explanation:
For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.
The length of x is 6.
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'
According to the given problem,
Perpendicular = 3
Hypotenuse = x
We know,
sin∅ = [tex]\frac{perpendicular}{hypotenuse}[/tex]
∅ = 30°
⇒ sin30 = [tex]\frac{3}{x}[/tex]
⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex] [ sin30 = [tex]\frac{1}{2}[/tex] ]
⇒ x = 3 * 2
⇒ x= 6
Hypotenuse = 6
Applying Pythagoras theorem:
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 6² = 3² + Base²
⇒ 6² - 3² = Base²
⇒ Base² = 25
⇒ Base = √25
⇒ Base = 5
Hence, we can conclude the value of x to be 6.
Learn more about right-angled triangle here:
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write a linear equation that passes through the point (2,-9) and has a slope of -5
Answer:
y = -5x + 1Step-by-step explanation:
Given:
The slope m = -5 and point (2, -9)Use point slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is the given pointSo the equation is:
y - (-9) = -5(x - 2)y + 9 = -5x + 10y = -5x + 1Can someone help me with this math homework please!
OPTION C
The variable x represents the independent variable.
Michael modeled from play dough a 15cm high pyramid with a rectangular base with dimensions of a = 12 cm and b = 8 cm. Jane remodeled Michael’s pyramid into a come with a base diameter of d = 10cm, what was the height of Jane’s cone?
Answer: 251.2 cm3
Step-by-step explanation:
10x3.14x 8 = 251.2
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
a therate ticket cost £63 plus a booking fee of 3%
what is the total price of the ticket
Answer:
Total amount of ticket free = £64.89
Step-by-step explanation:
Given:
Cost of theater ticket = £63 plus
Booking fee of theater ticket = 3%
Find:
Total amount of ticket free
Comutation:
Total amount of ticket free = Cost of theater ticket + Booking fee of theater ticket
Total amount of ticket free = 63 + 3%
Total amount of ticket free = 63 + 1.89
Total amount of ticket free = 64.89
Total amount of ticket free = £64.89
I need help ASAP !!!!
Answer:
{-4,2,6,9}
Step-by-step explanation:
Mathematically, the domain refers to the possible x-values
what this mean in the relation view are the values listed in the left ellipse
So we have the domain as;
{-4,2,6,9}
10 points 2 questions best one get brainliest
Answer:
9a. GCF: 16. LCM: 960
9b. GCF: 55. LCM: 275
9c. GCF: 24. LCM: 114
9d. GCF: 40. LCM: 600
10a. GCF: 120. LCM: 1440
10b. 10, 2, 5, 20
10c. 2880, 4320, 5760, 7200
Can anyone answer this I’m having trouble
Answer:
[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]
the salesperson recieved $2,800 commission on her 35% share of the total commission on the sale of a property that was sold for $160,000. What was the commission rate?
Answer:
5%
.35x = 2800
x = 8000
p(160,000)=8000
p=.05 = 5%
Step-by-step explanation:
A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?
Answer: [tex]589.33\ mph[/tex]
Step-by-step explanation:
Given
Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.
Wind from west is 80 mph
Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.
Suppose the speed of plane is
[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]
Suppose the distance is x
[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]
Average speed is
[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]
Answer:
The speed of plane is 600 mph.
Step-by-step explanation:
Let the distance is d.
Speed of wind , u = 80 mph
Time, t = 17 hours
time, t'= 13 hours
Let the speed of airplane is v.
distance = speed x time
d = (v + u) x 13= (v - u) x 17
(v + 80) x 13 = (v - 80) x 17
13 v + 1040 = 17 v - 1360
4 v = 2400
v = 600 mph
the difference in the measure of two complementary angle is 28 degrees. find the measure of these angles.please answer this question.
Answer:
Hey
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
because i said so
In In 5x + In In (x - 1) = 2
Answer:
exact form: x=-1/2
decimal form: x=-0.5
I will mark you the brainliest
What is the opposite polynomial?
Answer:
e t
Step-by-step explanation:
In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?
Answer:
The cosine of angle P = opposite / adjacent = 39 / 80
Step-by-step explanation:
Helppp and explain pls and thankyou ,I will mark brainlist
Answer:
4x = 6 + x
3x = 6
x = 2
2 hours..$8
Step-by-step explanation:
1.8 divided by 1,008 I have to have it by tomorrow please help ! And also I have to show all the work so please help me
Answer:
Step-by-step explanation:
1,008/1.8=10,080/18
18)10080(560
90
-
----------
108
108
-
------------
0
---------------
Each of the digits 3, 4, 6, 7, 8, and 9 is used once and only once to form a six-digit integer. What is the largest six-digit multiple of 4 that can be formed
Answer:
987436Step-by-step explanation:
The number is divisible by 4 if the number formed by the last two digits is divisible by 4.
Since we are looking for the largest possible option, lets try 2-digit numbers formed by the given digits.
The smallest 2-digit number that is divisible by 4 is 36
Then the largest number is:
9874361. Describe the graph of the line x=5
Answer: a Line going up and down
Step-by-step explanation:
Answer:
See explanation below
Step-by-step explanation:
The line x = 5 would be vertical and lies on x = 5 within the x-axis.
Carmen likes to ski. The ski resort where she goes to ski got 3.2 feet of snow during a 5 day period. The average daily snowfall for a given number of days is the quotient of the total amount of snow and the number of days. Estimate the average daily snowfall.
Answer:
0.64 feet or 7.68 inches of snow on average over the 5 days.
Step-by-step explanation:
3.2/5
0.64ft
7.68in.
Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour
Answer:
319 pages and a half
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
9.4
Step-by-step explanation:
cos 32° = 8/x
x = 8/ cos 32°
= 8/ 0.8480
= 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have
cos 32° = 8 / x
x = 9.4
The value of the variable 'x' using the cosine formula will be 9.4 units.
More about the right-angle triangle link is given below.
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Which of the following expressions is equivalent to the one shown below? (3/2)8 A 3^8/2^8 B 3^8/2 C 3/2^8 D 8•(3/2)
Answer:
Step-by-step explanation:
pls help w explanation!!!
At her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout. Last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobic
workouts and w weight-lifting workouts. What is
one possible value of w?
Answer:
The possible values of W are 5, 6, and 7.
Step-by-step explanation:
Since at her gym, Ximena spends 30 minutes on each aerobic workout and 20 minutes on each weight-lifting workout, and last week, Ximena spent between 190 and 230 minutes, inclusive, on 3 aerobics workouts and W weight-lifting workouts, to determine what is one possible value of W the following calculation must be performed:
190 - (3 x 30) = X
190 - 90 = X
100 = X
100/2 = 5
140/2 = 7
Therefore, the possible values of W are 5, 6, and 7.
The price of a radio is marked as rs 7500 if shopkeeper allows 20 % Discount and adds 13 % VAT . how much customer pay for radio
Answer:
a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)
calcula el área lateral de un prisma cuya base es un pentagono de 10cm de arista, 16.88 cm de apotema y 15 cm de altura
Answer:
Lateral surface area of pentagonal prism = 750 cm²
Step-by-step explanation:
Given information:
Height of pentagonal prism = 15 cm
Length of edge = 10 cm
Length of apothem = 16.8 cm
Find:
Lateral surface area of pentagonal prism
Computation:
Lateral surface area of pentagonal prism = 5(a)(h)
Lateral surface area of pentagonal prism = 5(10)(15)
Lateral surface area of pentagonal prism = 750 cm²
The sides of a triangle have lengths 2, 3, and 3. What kind of triangle is it?
This is because the triangle has exactly two sides that are the same length.
If all three sides were the same length, then it would be equilateral.
If neither of those cases, then we consider the triangle scalene.
can someone help me with this?
Answer:
-64 is the 26th number
it's an arithmetic sequence because the difference between the number is constant : -3
they are all -3 in difference
Step-by-step explanation:
an = a1 + (n-1)d
an = the nᵗʰ term in the sequence
a1=the first term in the sequence
d=the common difference between terms
-64 = 11 + (n - 1)-3
-64=11 -3n+3
-78 = -3n
n = 26
