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ANEK [815]
3 years ago
9

Question

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Given:

The compound inequality is

9

To find:

The solution for the given compound inequality in interval notation.

Solution:

We have,

9

Subtracting 6 from each side, we get

9-6

3

Divide each side by 3.

\dfrac{3}{3}

1

Here, 1 is not included in the solution set and 3 is included in the solution set.

Therefore, the solution in interval notation is (1,3].

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creativ13 [48]

Tan(a)= Toa

Toa =opposite/adjacent

Toa=7/25

final answer is 7/25

7 0
2 years ago
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The area of a rectangle court is 433.37 Square meters and the length of the court is 28.7 meters . What is width of the court?
Eduardwww [97]

Answer:

w=15.1m

Step-by-step explanation:

l=28.7

A=433.37

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3 years ago
A parallelogram with an area of 60 square units is formed by four lines in a coordinate plane. The parallelogram has one vertex
Alika [10]

Answer:

The answer above is wrong, the line is actually supposed to be one to the left, so it would be going through (7,4) and (2,-2)

Step-by-step explanation:

8 0
2 years ago
Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many p
Mkey [24]

Answer:

1,015

Step-by-step explanation:

7 pounds of honey equals 1 pound of wax

So if we have 145 pounds of was, we multiply 145 by 7

145x7= 1,015

5 0
2 years ago
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