Answer:
(3a+4)(9a^2-12a+16)
Step-by-step explanation:
It's a perfect square :)
The factors of the given polynomial are (4+3a)(9a²-12a+16)
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.
Given that, a polynomial, 64+27a³
Using identity : a³+b³ = (a+b)(a²-ab+b²)
We get,
= (4+3b)(4²-4x3a+(3a)²)
= (4+3a)(16-12a+9a²)
Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)
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There are two scarecrows in Mr. Martland's garden. The first scarecrow is 4.69 feet tall. The other scarecrow is 8.1 feet tall. What is the difference between the two scarecrows' heights?
Answer:
The difference between the two scarecrows' heights is 3.41 feet.
Step-by-step explanation:
To find the difference between the two scarecrows' heights, we have to subtract the height of the shorter one from the height of the taller one.
Hence, the difference between their heights would be (8.1 - 4.69) feet, which equals to 3.41 feet.
Hope this helped!
Answer:
3.41 FT
Step-by-step explanation:
Just subtract 4.69 from 8.1.
tricky the clown
Quadrilateral RSTU is a parallelogram. What other information would allow you to prove that RSTU is a rectangle? options 1/Opposite angles are congruent. 2/Opposite sides are congruent. 3/The diagonals bisect the angles. 4/The diagonals are congruent.
Answer:
Opposite angles are congruent
Opposite sides are congruent
Step-by-step explanation:
Expand & simplify
(9x - y) (9x + y)
Answer:
[tex]81x^{2}- y^{2}[/tex] this is the answer
Step-by-step explanation:
Determine the y-intercept of the line that passes through the points (3, 7) and has a slope of 2?
A company ships its drink mix in a box in the shape of a rectangular prism. The base of the
prism is a rectangle with a length of 4 meters and a width of 1.5 meters. The height of the
container is 2.5 meters. What is the volume of the box in cubic meters?
Answer:
6 cubic meters
Step-by-step explanation:
The two-way table below displays information about passengers on a commercial flight.
Passenger Data
First Class
Coach
Checked Bags
10
81
Did Not Check Bags
14
57
What percentage of coach passengers did not check bags? Round to the nearest tenth.
35.2%
41.3%
70.4%
80.3%
The percentage of coach passengers who did not check their bags will be 43.82 %.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.
We have to find the percentage of coach passengers who did not check their bags.
It is found by dividing the total number of passenger bags not checked by the total number of passengers.
=71 / 162 × 100
=43.82 %
Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.
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um can somone help me please
Answer:
8 is 1
Step-by-step explanation: Multiply
Find the value of x in the parallelogram.
Step-by-step explanation:
here is ur answer pls check it
Find the GCF of 74 and 154.
Answer: 2
Step-by-step explanation:
2
74: 2 37
154: 2711
GCF:2
1
1
Consider the polynomial function:
p(x) = 3x3 + 10x2 + ax - 6
where a is an unknown real number.
If
(x + 3)
is a factor of this polynomial what is the value of a? Show all the steps below.
Step-by-step explanation:
By Factor Theorem, p(-3) = 0.
Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.
What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right ΔIn the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
Solve 20/420 and remember to add the partial quotients to find the actual quotient.
Answer:
0.0476
Step-by-step explanation:
To solve 20/420,
We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :
In the fraction 20/420, we cancel out the zeros =2/42
In the fraction 2/42, 2 will divide numerator and denominator so =1/21
To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,
Therefore 1/21= 0.0476 to 4 decimal places
Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4
during the 20 year study, a law was passed that banned the use of pesticides known to be harmful to the fruit bat. predict the year the law was passed
time sensitive!! i really need help thanksss
Answer:
-x -y = 5
Step-by-step explanation:
the Answer will be 5
Simplify the expression. 14 + (-3) -3/7j - 6/7j + 6
Answer:
[tex]t^{14}[/tex] + 3 + − [tex]\frac{3j}{7}[/tex] + 7 + -[tex]\frac{6j}{7}[/tex]
Step-by-step explanation:
Evaluate the following equation, when x=20:
x/5 + x – 10
help please i will give brainliest!!
Answer:
answer D looks good :)
Step-by-step explanation:
What is m∠P?
(NEED URGERENT HELP!!)
Step-by-step explanation:
Sum of angles in this pentagon = 540°.
Therefore 13x + 241 = 540, x = 23
Hence Angle P = 4(23) + 2 = 94°.
The measure of angle P is 94°
What is pentagon?"It is a polygon with five vertices and five sides."
For given example,
We know, the sum of all interior angles of a pentagon is 540°
⇒ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ (4x + 2)° + (132)° + (4x - 10)° + (5x - 11)° + 128° = 540°
⇒ 4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
⇒ 13x + 241 = 540
⇒ 13x = 299
⇒ x = 23
So, the measure of angle P would be,
4x + 2
= 4 (23) + 2
= 94°
Therefore, the measure of angle P is 94°
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Joaquin lives 0.4 mile from Keith. Layla lives 0.3 as far from Keith as Joaquin.
How far does Layla live from Keith? Enter an equation to solve.
from Keith as Joaquin.
solve.
Samantha purchased dinner at a restaurant and spent $38 on food and beverages. Her sales tax was 7%. How much will Samantha pay for sales tax in dollars and cents?
Given:
Samantha purchased dinner at a restaurant and spent $38 on food and beverages.
Rate of sales tax = 7%
To find:
How much will Samantha pay for sales tax in dollars and cents?
Solution:
Amount spent on food and beverages = $38
Rate of sales tax = 7%
Sales tax = 7% of $38
[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]
[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]
[tex]\text{Sales tax}=2.66[/tex]
Therefore, the sales tax is $2.66.
what is the solution of the system of equations 2x-5y=11 and -2x+3y=-9
Answer:
Step-by-step explanation:
In order for us to be able to get our (x,y) value, we need to show our work step-by-step.
Solving for Y:
-2x + 3y = -9
+ (2x - 5y = 11)
_____________________
-2y = 2
-2 -2
In order for us to be able to find our y value, we need to divide -2 both sides.
y = -1
Solving for X:
2x-5(-1) = 11
2x + 5 = 11
- 5 -5
_____________________
2x = 6
2 2
In order for us to find our x value, we need to divide 2 both sides.
x = 3
Our equation set or (x,y) value will be equal to:
(3,-1)
Please help,
In a bowl of fruit, there are green grapes and black grapes in the ratio of 3:5. If there are 27 green grapes, how many black grapes are there.
Answer:
45
Step-by-step explanation:
27 DIVIDED BY 3 IS 9
SO 9 MULTIPLIED BY 5 IS 45
SO THE ANSWER IS 45
prove that
(pSinB-rcosB)2 +(rsinB+pcosB)2=p2+r2
Expand the binomials, then simplify, then invoke the Pythagorean identity:
(p sin(B) - r cos(B))² + (r sin(B) + p cos(B))²
= (p² sin²(B) - 2pr sin(B) cos(B) + r ² cos²(B)) + (r ² sin²(B) + 2pr sin(B) cos(B) + p² cos²(B))
= p² (sin²(B) + cos²(B)) + r ² (cos²(B) + sin²(B))
= p² + r ²
In ΔBCD, \text{m}\angle B = (4x-14)^{\circ}m∠B=(4x−14) ∘ , \text{m}\angle C = (x-1)^{\circ}m∠C=(x−1) ∘ , and \text{m}\angle D = (6x+8)^{\circ}m∠D=(6x+8) ∘ . What is the value of x?X?
Answer:
x = 17Step-by-step explanation:
The sum of angle in the triangle BCD is 180 degrees
Given;
<B = 4x -14
<C = x - 1
<D = 6x + 8
Required
Find x
Since <B + <C + <D = 180, hence;
4x - 14 + x - 1 + 6x + 8 = 180
11x -7 = 180
11x = 180+7
11x = 187
x = 187/11
x = 17
Hence the value of x is 17
Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14
Answer:
x=1
Step-by-step explanation:
-3x=-3
how many teaspoons are f vanilla will i use?
Answer:
9 teaspoons of vanilla
Step-by-step explanation:
12/4=3
3*3=9
Answer:
teaspoons of vanilla =9
Step-by-step explanation:
we can make it as a ratio
So we have (3 for teaspoons and 4 tablespoons)
3:4
Then x : 12
x=(12/4)*3=9
hope this helps
25 points
What type of graph is best to use to compare two sets of data over time?
Answer:
Bar Graph
Step-by-step explanation:
Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time
An infant playpen is in the shape of a circle. If the playpen has a diameter of 2 meters, what is the approximate area of the playpen?
Answer:
π meters
Step-by-step explanation:
The diameter is 2 meters. Then the radius is 1 meter. So:
A=πr²
=π(1)²
=π meters ...............
Answer:
3.14
Step-by-step explanation
the formula of a circle is A=πrxr
2 divided by 2 is 1
1 x 1 = 1
3.14 x 1 = 3.14
thats is!
A man set off in his friend’s car on a 200-km journey at 10.30 a.m. The car broke down after it had travelled 150 km at an average speed of 50 km/h. Twenty minutes later, the man was given a lift by a motorist who brought him to his destination at an average speed of 100 km/h. Calculate
a) The time at which he arrived at his destination,
b) The average speed at which he travelled for the whole journey
Can someone help me in this question please I am confused
Answer:
b) The average speed at which he travelled for the whole journey
Step-by-step explanation:
If he had travel 200- km/h and had broke down by which was at 10:30 a.m you would have to subtract 200 km/h to 10:30 your answer would be 189.7 when they back on the road also the speed slowed down a bit about 50 km/h so you would add 50 km/h to 20 mins you would get 70km/h they were traveling by, then you add all of the numbers up by 100 you would get 640 so your answer would be 640
5/9 x 6/15 x 15/4=
Plz help
Answer:
5/6
Step-by-step explanation: