Solve this simultaneous equation x+2y=11
x-2y=1

Answer:

y = -9/2x-7

Step-by-step explanation:

9x+2y = -14

-9x          -9x

2y= -9x-14

/2        /2

y= -9/2x-7

Answer:

Height = 125 tan 6°

QN = 142°

A semicircle will always be equal to 180°, and we have two measures for semicircle QO.

[tex]QO = 180\\MN = 90\\NO = 38\\\\QM = QO - MN - NO\\QM = 180 - 90 - 38\\QM = 52\\\\QN = QM + MN\\QN = 52 + 90\\QN = 142\\[/tex]

Answer:

C, 290,837

Step-by-step explanation:

The 2 in his number is 10x the 2 in the number 328,907

This means you need to move the number to the left once, hence it being in the hundred thousands.

290,837 is the final answer.

Answer:

[tex](x-3)^{2} = 10[/tex]

Step-by-step explanation:

[tex]\\Question 1\\\\-2xc = -6x\\2xc = 6x\\c = \frac{6}{2} \\c = 3\\x^{2} - 6x + cx^{2} = 1 + c^{2} \\x^{2} - 6x + 3^{2} = 1 + 3^{2}\\x^{2} - 6x + 9 = 1 + 9\\x^{2} - 6x + 9 = 10\\(x - 3)^{2} = 10\\REWRITINGx^{2} - 6x = 1 is equal (x -3)^{2} = 10\\[/tex]

I hope this help!

I don't know the second one ^-^

Answer:

Perimeter of rectangle = 32

Step-by-step explanation:

32 = 2(L+B)

L+B=16

B=16-L

B=16–9

B=7

AREA = L*B

AREA = 63sq.cm

Answer:

8 pupils received prices

Step-by-step explanation:

20% of 40 = 8 (8 boys)

15% of 20 =3  (3 girls)

8+3 = 11

Answer:

21 pupils received the prizes.

Step-by-step explanation:

20% +15% =35%

35/100 of 60 =21.

Sorry I did it wrong.

Answer:

(0, -5) and (-16, -17)

Step-by-step explanation:

You can plug in the points into the function to test them.

(0, -5)

3(0) - 4(-5) - 8 = 12

20 - 8 = 12

12 = 12

(8, 2)

3(8) - 4(2) - 8 = 12

24 - 8 - 8 = 12

8 ≠ 12

(-16, -17)

3(-16) - 4(-17) - 8 = 12

-48 + 68 - 8 = 12

12 = 12

3(-1) - 4(-8) - 8 = 12

-3 + 32 - 8 = 12

21 ≠ 12

3(-40) - 4(-34) - 8 = 12

-120 + 136 - 8 = 12

8 ≠ 12

Answer:

37 ft²

Step-by-step explanation:

The figure is composed of a triangle and a square

Therefore, area of the figure = area of the triangle + area of the square

= ½bh + s²

Where,

b = 1.5 + 4 + 1.5 = 7 ft

h = 6 ft

s = 4 ft

Plug in the values into the equation

Area of the figure = ½*7*6 + 4²

= 21 + 16

= 37 ft²

Answer:

f(x) = x - 6

Step-by-step explanation:

The original function would go through (0,0) since you shift the function down 6 units, it will go through (0,-6)

so, the equation of the line would be f(x) = x - 6

Answer:

The width is 64.3 inches

Step-by-step explanation:

Given

[tex]d = 90[/tex] --- diagonal

[tex]h = 63[/tex] --- height

Required

Determine the width (w) of the TV

To do this, we make use of Pythagoras theorem which is illustrated as:

[tex]d^2 = h^2 + w^2[/tex]

So, we have:

[tex]90^2 = 63^2 + w^2[/tex]

Evaluate all squares

[tex]8100 = 3969 + w^2[/tex]

Collect like terms

[tex]w^2 = 8100 - 3969[/tex]

[tex]w^2 = 4131[/tex]

Take positive square roots of both sides

[tex]w = \sqrt{4131[/tex]

[tex]w = 64.3[/tex] -- approximated

Answer:

4

Step-by-step explanation:

Answer:

d'f(t) = 6cos 2t(2)+5sin 2t(2)

= 12cos 2t + 10sin 2t

Step-by-step explanation:

Answer:

5,250 cm²

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)L

Where ,

b = 24 cm

h = 35 cm

s1 = 37 cm

s2 = 37 cm

s3 = 24 cm

L = 45 cm

Plug in the values

Surface area = 24*35 + (37 + 37 + 24)45

= 840 + 4,410

= 5,250 cm²

Answer:

the answer is going to be b

Answer: well i cant help... so dont be happy! :)

Answer:

-49

Step-by-step explanation:

[tex]\int _{-5}^{-2}\:\left(8\:w\left(r\right)-3\right)dr[/tex] = [tex]\int _{-5}^{-2}\:8\:w\left(r\right)dr[/tex] -3 (-2 -(-5)) = [tex]8 \int _{-5}^{-2}\:\:w\left(r\right)dr[/tex] -9 =8(-5) -9 = -49

Answer:

Step-by-step explanation:

The equivalent expression is,

⇒ 4a²b²c³ ∛b

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ ∛64a⁶b⁷c⁹

Now, We can simplify the expression as;

⇒ ∛64a⁶b⁷c⁹

⇒ ∛64a⁶b⁷c⁹

⇒ ∛4³ (a²)³ (b²)³ (b) (c³)³

⇒ 4a²b²c³ ∛b

Thus, The equivalent expression is,

⇒ 4a²b²c³ ∛b

Learn more about the mathematical expression visit:

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Answer:

b- If two sides are perpendicular, then it is a right triangle. It can be isosceles or scalene. It cannot be equilateral because all the angles in an equilateral triangle are acute.

Step-by-step explanation:

An equilateral triangle has 3 equal sides and 3 congruent angles, each with an acute measure of 60 deg.

If two sides are perpendicular, they form a right angle, w/ measure of 90 deg. Therefore, cannot be equilateral.

30-60-90 triangles are quite common and useful in geometry... they are scalene and have 2 perpendicular sides.

45-45-90 triangles are isosceles and have 2 perpendicular sides.

Both are types of right triangles.

Answer:

Whats wrong??

Step-by-step explanation:

Answer:

you ok ?

Step-by-step explanation:

I dont know what the ......... means

Answer:

59.11 ft

Step-by-step explanation:

Answer:12

Step-by-step explanation: I multiplied 3 times 4

The Lateral Surface Area of cone is 12  π  ft³

The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point

example:

Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)

Solution: Given that r = 21 units and h = 20 units

Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units

We know, the lateral area of the cone = πrL

Lateral area of a cone = (22/7) × 21 × 29

= 22 × 3 × 29

= 1914 units2

Answer: The lateral surface area of the given cone is 1914 units2

Given:

l= 4 ft

r= 3 ft

Lateral area = πrl

Lateral area = π * 3 * 4

Lateral area = 12 π  ft³

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Answer:

The Miriam is 1,2,2,2,3,5,5,10

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

arrange the numbers in assending order.

Answer:

c

Step-by-step explanation:

Answer:

2 2 + 3 − 5 4

Step-by-step explanation:

Answer:

D. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.

Step-by-step explanation:

The population mean, μ is given as 87

This population value is used to state the Null hypothesis ;

H0 : μ = 87

The alternative hypothesis is the opposite of the Null ; and hence, claims that the mean is different from the population mean, μ ≠ 87

H1: μ ≠ 87

The Decison level :

When Pvalue < α ; We reject the Null otherwise we fail to reject the null

The given p and α value :

P-value = 0.0752

α = 0.05

0.075 > 0.05 ; Hence ;

Pvalue > α ; We fail to reject the Null

We can thus conclude that there is not enough evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.