Answer:
option 3 : (2x - 7 )
Step-by-step explanation:
ax + bx = x(a+ b)
a(x+ y) + b(x+y) = (x+y)(a+b)
[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex] [ (2x + 5) is common is both terms ]
[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]
Therefore , the binomial is ( 2x - 7)
A yard in the shape of a square measures a ft on each side. A flower bed is dug up in the shape of a triangle with a/4 ft height of the triangle and a/2 ft base of the triangle. How much yard area is left over?
Answer:
[tex]A_X=\frac{15x^2}{16}[/tex]
Step-by-step explanation:
From the question we are told that:
Base of Flower bed [tex]b=\frac{x}{2}[/tex]
Height of Flower bed [tex]h=\frac{x}{4}[/tex]
Generally the equation for Area of garden left A_X is mathematically given by
[tex]A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f[/tex]
Where
[tex]A_f=b*h[/tex]
[tex]A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}[/tex]
[tex]A_f=\frac{x^2}{16}[/tex]
Therefore
[tex]A_X= A_g - A_f[/tex]
[tex]A_X=x^2-\frac{x^2}{16}[/tex]
[tex]A_X=\frac{15x^2}{16}[/tex]
25 + 8 (7y - 3) + 3y
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
Compare. Use >, <, or =.
123,546,789 >, <, or =, 123,456,789
please help
Step-by-step explanation:
123,546,789 > 123,456,789
#CMIIW4(a + b) - x²(a + b)
=(4-x^2)(a+b)
=(2^2-x^2)(a+b)
=(x+2)(x-2)(a+b)
I think it hopefull to you
Answer:
(a+b) (2-x)(2+x)
Step-by-step explanation:
2^2
The term (a+b) is the same
We can factor this out
(a+b) (4-x^2)
(4-x^2) is the difference of squares (2^2 - x^2)
We know the difference of squares is (a^2 - b^2 ) = (a-b)(a+b)
(a+b) (2-x)(2+x)
If you want to distribute the terms
4a+4b -x^2a - x^b
There are 4 apples, 6 pear, 3 oranges and 9 peaches in a basket. You randomly pick three fruits from the basket. What is the probability that the first fruit is apple, the second is a peach and the last is not an orange if you do not replace the first and second fruits? Enter your answer as a decimal rounded to the nearest thousandth
The probability that the last one is not an orange if you do not replace the first and second fruits will be equal to 0.054.
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given information in the question,
The total number of fruits as per the data is,
4 apples + 6 pear + 3 oranges + 9 peaches = 21 fruits.
As per the statement, the first fruit is from 21 fruits.
There are 3 apples, so the probability will be,
3/21 = 1/7
The second fruit is from 20 fruits,
21 - 1 = 20
There are 9 peaches, so the probability will be,
9/20
The third fruit is from 19 fruits, so there are 16,
19 - 3 = 16
These fit the bill (not oranges), so the probability will be,
16/19.
So,
1/7 × 9/20 × 16/19
= 36/665
= 0.054
To know more about Probability:
https://brainly.in/question/54143022
#SPJ2
The sum of 20 and b is equal to 32.99
need help
Answer:
b is 12.99
Step-by-step explanation:
Solve using the Applicable Variation
The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.
I'm so lost :'(
Answer:
36
Step-by-step explanation:
9/16 = 20.25/?
16x20.25÷9= 36
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
A+b=25
What is the value of 2a + 2b + 4
Answer:
THE ANSWER IS 54
Step-by-step explanation:
Please help me solve my problem!!!
Answer: I think it is A or C
hope this helps!
Step-by-step explanation:
cual es el area de 9 cm y la medidad de 20 cm??
Answer:
9x20 = 180
llsldkdkiwmqinsljw
What is the domain of the function shown in the table? y X -2 -1 0 1 1 2 3 O A. (-2,-1,0,1,2,3} O B. (-2,0),(-1,1),(0, 2), (1,3)
Answer:
(0,2)
Step-by-step explanation:
the bracket cancel
Point A is a representation of which number on the number line?
Can someone answer this?
=============================================================
Explanation:
There are n = 7 sides to this polygon (so it's a heptagon)
The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.
So that means,
69+284+62+62+242+81+a = 900
800+a = 900
a = 900-800
a = 100
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
Half gallon = __________fl oz.
What is the product of the 4th square number and the 4th square number
Answer:
4×4=16
Step-by-step explanation:
four squared is a two dimension polygon with a four equal side of four length unit.
Answer:
4×4=16
Step-by-step explanation:
Angle of elevation and depression: A boy 1.5m tall is 15m away from the hut. what is the angle of elevation of the top of the hut.
Answer:
13.5m
Step-by-step explanation:
The boy is 1.5m tall so you subtract that by 15m and you get 13.5m
please help me
No guess
Answer:
C. -7 or C. Negative seven
CAN SOMEONE PLEASE HELP ME WITH THIS?
Answer:
It would be 4 or C.
Step-by-step explanation:
Hope this helps!
Good Luck!
:)
Sean las proposiciones p : "Cinco es mayor que diez" y q : "Dos más dos son cuatro". Escriba en lenguaje natural la proposición ∼p∧q
Answer:
"cinco es menor o igual que diez, y dos más dos son cuatro"
Step-by-step explanation:
Primero definamos los simbolos utilizados.
∧ significa "y"
∼ es el simbolo de la negación, es decir:
∼p significa "no p"
terminemos de resolver el problema para que el concepto quede claro.
si:
p = cinco es mayor que diez (5 > 10)
entonces:
∼p = cinco es menor o igual que diez (5 ≤ 10)
y
q = dos más dos son cuatro. (2 + 2 = 4)
entonces:
∼p∧q se escribe como:
"cinco es menor o igual que diez, y dos más dos son cuatro"
Choose the correct answer A, B, C or D.
Half of the perimeter of a rectangular piece of land is equal to 21 m
and its length is twice its width. Given that 1 m2 of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
А
1621.5 million VND
B
1690.5 million VND
Sc
С
1725 million VND
D
1759.5 million VND
Answer:
B. 1690.5 million VND
Step-by-step explanation:
Half of the perimeter of a rectangular piece of land is equal to 21 m
The full perimeter of the Land = 2 × 21m
= 42 m
Step 1
Find the Length and Width of the rectangle
Perimeter of a rectangle = 2L + 2W
Length is twice its width.
L = 2W
Hence:
42 = 2(2W ) + 2W
42 = 4W + 2W
42 = 6W
W = 42/6
W = Width = 7m
L = Length = 2W
L = 2 × 7
L = 14m
Step 2
Find the Area of the Land
Area of the rectangle = Length × Width
= 14m × 7m
= 98m²
Step 3
Given that 1 m² of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
1m² = 17.25 million VND
98m² = x
Cross Multiply
1 m² × x = 98m² × 17.25 million VND
x = 1690.5 million VND
Option B is the correct answer
Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate
Answer:
1590
Step-by-step explanation:
1500 x 0.02
= 30
30 x 3
= 90
1500+90 = 1590
(ps.. there was an equation for this i just forgot it, you can look it up and check it)
PLS HELP ILL GIVE U BRAINLIST
A vector is 2.5 kilometers per hour at a bearing of of 50° West of North.
Find the magnitude of its vertical component.
lyl = v sin ©
A. lyl = - 1.9
B. lyl = 1.6
C. lyl = 2.5
D. lyl = 50°
B. |y| = 1.6
Step-by-step explanation:A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
To get the magnitude of the vector's vertical component
Substitute these values into equation(ii) as follows;
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
(2y + x)^
(4x)
(2y - x)°
Find the value of x.
A 9
В. 18
C 45
D. 90
Answer:
they are opposite degrees so we can say that 4x=2y-x
Step-by-step explanation:
5x=2y and we complete 4x+(2y+x)=180. and then 5x+2y=180. put 2y from 5x. 4y=180 y= 45 and x= 18°
Now,
(2y + x)° + (2y - x)° = 180° ( straight angle )
or, 2y + x + 2y - x = 180°
or, 4y = 180°
◆ y = 45°
Then,
4x = 2y - x ( vertically opposite angle )
or, 4x = 2*45° - x
or, 5x = 90°
or, x = 90°/5
◆ x = 18 °
I hope it's help you...
Mark me as brainliest...
what is the value of w to the nearest degree
what is the solution to the system of equations?
6x+2y=6
7x+3y=5
Answer:
x = 2, y = -3
Step-by-step explanation:
6x + 2y = 6 (multiplying by 3)
18x + 6y = 18 -----> (i)
7x + 3y = 5 (multiplying by 2)
14x + 6y = 10 -----> (ii)
Subtracting (i) from (ii)
18x + 6y - 14x + 6y = 18 - 10
4x = 8
x = 2
Substituting in (ii)
14x + 6y = 10
14(2) + 6y = 10
28 + 6y = 10
6y = -18
y = -3
Here is some information about a holiday.
7 night holiday
$340 per person
8% discount if you book before 31 March
On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.
Answer:
$625.6
Step-by-step explanation:
Information about a holiday:
7 night holiday
$340 per person
8% discount if you book before 31 March
Number of people Naseem booked the holiday for = 2
Date of booking of the holiday = 15 February
Total cost of the holiday per person = cost per person - discount before March 31
= $340 - 8% of $340
= 340 - 8/100 * 340
= 340 - 0.08 * 340
= 340 - 27.2
= $312.8
Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person
= 2 * $312.8
= $625.6
pleaseee answer quickly
Answer:
4. 3 units
5. Triangle
6. (0,2)
Step-by-step explanation:
4. The distance between the x axis and the point (8,3) is 3 units
5. Triangle will be formed if the points A(-3, 0), B (0,3) and C (3,0) are joined together
6. Since the point lie on the y-axis, its x co-ordinate will be zero and the point will be (0,2)
Kristian buys a meal for $8.40 calculate the fraction of the $72 after buying the computer game which costed $32.40 and the meal. give ur answer in its lowest terms
Answer:
After buying the meal and the computer game, Kristian has 43.33% of his money left.
Step-by-step explanation:
Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:
72 = 100
8.40 + 32.40 = X
72 = 100
40.80 = X
40.80 x 100/72 = X
4,080 / 72 = X
56.66 = X
100 - 56.66 = 43,333
Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.
is 2x+3y=5 a straight-line graph
Answer:
Yes, it is
Step-by-step explanation:
A straight line graph is of the general form;
y = mx + b
where m is the slope and b is the y intercept
We can rewrite what we have as
3y = -2x + 5
y = -2x/3 + 5/3
As we can see, it can be expressed in the general form and that makes it a straight graph