How old is the youngest employee

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:

Height = 125 tan 6°

Answer:

AUI = { -5 , -2 , -1 , 0 , 1 , 2 , 5 , 8 }

Answer:

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

= 12cos 2t + 10sin 2t

Step-by-step explanation:

Answer:

A) 24

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 12

h = 4

Work:

A = 0.5bh

A = 0.5(12)(4)

A = 6(4)

A = 24

Answer:

The required points are -

(-2,8), (7,5), (1,7)

Answer:

The table represents a linear function.

Step-by-step explanation:

Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.

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

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:(6x-5)+(-7x+2)

1 Remove parentheses.

6x-5-7x+2

2 Collect like terms.

(6x-7x)+(-5+2)

3 Simplify.

-x-3

_____________________________

1 Remove parentheses.

6x-5+7x-2

6x−5+7x−2

2 Collect like terms.

(6x+7x)+(-5-2)

3 Simplify.

13x-7

Hope this helps

                                                                -Tobie the dog <3

6x - 5 + (-7x + 2) = ...

= 6x - 5 - 7x + 2

= (6x - 7x) + (-5 - 2)

= -x - 7

[tex]\:[/tex]

6x - 5 - (-7x + 2) = ...

= 6x - 5 + 7x + 2

= (6x + 7x) + (-5 + 2)

= 13x - 3

Answer:

( 3 / 4) * λ = - 1 - - > λ = - ( 4 / 3)

y = - ( 4 / 3) * x + 6

Answer:

Y= -4/3 X + 6

Step-by-step explanation:

I've explained this answer in attachment.

Answer:

84

Step-by-step explanation:

12*5=60

4*6=24

60+24=84

Answer:

nooo

Step-by-step explanation:

see longest side is 12 then 11 then 4 then 12 -4 =8 and last 5

answer 32

follow me

don't forget to mark my answer

and I will also follow you

Answer: 10

Step-by-step explanation: 8+10+60=78

Answer:

c

Step-by-step explanation:

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:

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:

y = -9/2x-7

Step-by-step explanation:

9x+2y = -14

-9x          -9x

2y= -9x-14

/2        /2

y= -9/2x-7

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:

1/25

Step-by-step explanation:

days in a week is 7

odds of being born on each 7 days is equal

x born = 7 days

pr(one separate baby) = 1 ÷ 5

pr(second separate baby) = 1 ÷ 5

pr(both being born on a school day) = 1/5 × 1/5

= 1/25

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:

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:

-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:

176 cu. cm

Step-by-step explanation:

Vol. of prism = Bh where B is the area of the base and h is the height

V = 22(8) = 176 cu. cm

Answer: isosceles

equilateral is all sides are the same

scalene is all sides dif

isosceles is at least two sides the same

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

Learn more about this concept here:

https://brainly.com/question/23720100

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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:

brainly.com/question/1859113

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