4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5
with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9

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

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].

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:

Step-by-step explanation:

123,546,789 > 123,456,789

Answer:

b is 12.99

Step-by-step explanation:

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)

B. |y| = 1.6

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.

Answer:

(0,2)

Step-by-step explanation:

the bracket cancel

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...

Answer:

C. -7 or C. Negative seven

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

Answer:   I think it is A or C

hope this helps!

Step-by-step explanation:

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.

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

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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

Answer:

13.5m

Step-by-step explanation:

The boy is 1.5m tall so you subtract that by 15m and you get 13.5m

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"

Answer:

It would be 4 or C.

Step-by-step explanation:

Hope this helps!

Good Luck!

:)

Answer:

THE ANSWER IS 54

Step-by-step explanation:

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

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)

Answer:

9x20 = 180

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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.

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

=(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

Answer:

36

Step-by-step explanation:

9/16 = 20.25/?

16x20.25÷9= 36

Answer:

59y+1

Step-by-step explanation:

25 + 8 (7y - 3) + 3y

Distribute

25+56y-24+3y

Combine like terms

59y+1

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]