Translate the phrase into an algebraic expression the product of W and 9

Answer:

(3.5; 1.5).

Step-by-step explanation:

1) formula for midpoint:

[tex]x=\frac{X_A-X_B}{2}; \ y=\frac{Y_A-Y_B}{2};[/tex]

2) according to the formula above the required midpoint is:

x=0.5(5+2)=3.5; y=0.5(8-5)=1.5

Answer:

i. No, Maurice statement is wrong

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width. Since the piece of wood has a shape of a rectangle,the area of the piece of wood = length × width                                                 = 18 × 12                                                = 216 square inchesAccording to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches. The base has the shape of a square, so that;     the area of the base = length × width =                                        = 1012 ×1012                                      = 1024144 squared inchesThis shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.

Using the t-distribution, it is found that the desired measures are given as follows:

At the null hypotheses, it is tested if the mean is of 57.7, that is:

[tex]H_0: \mu = 57.7[/tex]

At the alternative hypotheses, it is tested if the mean is different of 57.7, that is:

[tex]H_a: \mu \neq 57.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters are given as follows:

[tex]\overline{x} = 59.6, \mu = 57.7, s = 7.7, n = 286[/tex]

Hence, the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{59.6 - 57.7}{\frac{7.7}{\sqrt{286}}}[/tex]

t = 4.17.

We have a two-tailed test, as we are testing if the mean is different of a value, with 286 - 1 = 285 df and t = 4.17. Hence, using a t-distribution calculator, the p-value is of 0.0004.

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Answer:

9360

Step-by-step explanation:

2/5 is 40%

40% of 23400 is 9360

Answer:

5/24

Step-by-step explanation:

Answer:

a:

1. ABC = 60°

2. BCA = 90°

3. CAB = 30°

b:

XVR = WVS = 125°

RVS = 55°

RST = VSU = 110°

RSV = UST= 70°

TUS = 39°

Step-by-step explanation:

a:

According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :

90+5x+9x+6=180

14x=84

x=6

Then we have : ABC = 9(6)+6 =60

CBA = 5(6)=30

b :

Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.

Answer:

Radians:Ф=0.46364... +π n

Degrees:Ф= 26.56505 + 180° n.

Step-by-step explanation:

Apply trig inverse properties

Ф= arccot(2) +π n

Ф=0.46364... +π n

Radians:Ф=0.46364... +π n

Degrees:Ф= 26.56505 + 180° n.

Answer:

that would be 57

Step-by-step explanation:

because im smart

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

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Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

Answer:

52

Step-by-step explanation:

5 goes in the top left under the 4 & 1 is 40 bring the 1 down drop the 6 next to the 1 write 16 under the 16 and you get 2 and at the very bottom write 0

Answer:

(s - t)(x) = 4x^2 - x - 5

(s + t)(x) = 4x^2 + x + 5

(s * t)(-1) = 16

Step-by-step explanation:

(s - t)(x) is simply the same as s(x) - t(x)

(s + t)(x) is simply the same as s(x) + t(x)

(s * t)(x) is simply the same as s(x) * t(x)

(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5

(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5

(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16

Answer:

f(x) = -5/81( x^2 -2x - 80)  

Step-by-step explanation:

The zeroes are -8 and 10 so we can write :

f(x) = -a(x - 10)(x + 8)  

( negative is because the parabola opens downwards).

The maximum value is at the vertex = 5.

f(x) = -a(x^2 - 2x - 80)

       =  a[(x - 1)^2 - 1 - 80)

        = a(x - 1)^2 - 81a

As the vertex is at f(x) = 5

81a = 5 so a = 5/81

So the equation is

f(x) = -5/81( x^2 -2x - 80)    

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Because 2x-4 equals -8

Answer:

Step-by-step explanation:

Comment

The area of a right triangle is the product of the two smaller legs divided by  2.

Givens

Horizontal Leg =   4 units.

Vertical Leg      =   8 units

Note. you count units by calling the right angle 0,0. As you move to the next square, count 1 then 2 then 3 ...

Solution

Area = 4 * 8 / 2

Area = 32 / 2

Area = 16

Answer

Area  = 16

Answer:

31 degrees

Step-by-step explanation:

90-59

=31

~rere

Answer:

<b = 31 °

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles

So . .

Because the sum is 90 subtract!

<b = 31 °

Answer:

sorrry i forget you man ..... or bro .....

Answer:

D is halved

Step-by-step explanation:

Given :

If n is doubled :

When n is doubled, D (the drop factor) is half of its original value.

Answer:

x = -2, -5

Step-by-step explanation:

x^2 + 7x + 10 = 0

The factors of 10 are as follows:

1, 10

2, 5

We can combine 2 and 5 to make 7

(x +2) (x + 5) = 0

One of these brackets must equal 0 to make the answer 0, as you are multiplying them together

If x + 2 = 0, x = -2

If x + 5 = 0, x = -5

Therefore, x = -2, -5

Hey there!

QUADRATIC EQUATION:

ax² + bx + c = 0 where a ≠ 0

The sign of the discrimant (b² - 4ac) determines the number of real-number solutions :

The solutions of the equation, also called roots, can be obtained with the QUADRATIC FORMULA :

[tex]x = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

---------------------------------------------------------------

▪️ x² + 7x + 10 = 0

(1) Substitute the letters in the general quadratic equation with their values in the given expression:

(2) Determine the sign of the discriminant:

[tex]{b}^{2} - 4ac \\ \\ \Longrightarrow {7}^{2} - 4(1)(10) \\ \\ \Longrightarrow 49 - 40 \: \: \: \: \: \: \: \: \: \\ \\ \Longrightarrow \red{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

The discrimant is positive ; the equation has two real-number solutions.

(3) Determine the roots of the equation :

[tex]x_1 = \frac{ - b \: - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_1 = \frac{ - 7 - \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = \frac{ - 7 - 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{10}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \green{ \boxed{ \red{x_1 = - 5}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 7 + \sqrt{9} }{2(1)} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_2 = \frac{ - 7 + 3}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ x_1 = - \frac{4}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \red{ \boxed{ \green{x_2 = - 2}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, x = -5 or x = -2

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Answer:

12

Step-by-step explanation:

Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go

Step-by-step explanation:

Solution ,

Firstly we need to understand that

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( - )

( - ) × ( + ) = ( - )

( + ) × ( - ) = ( - )

Question:

- 16 + ( - 12 ) - ( - 40 )

here ( + ) × ( - ) = ( - )

= - 16 - 12 - ( - 40 )

here ( - ) × ( - ) = ( + )

= - 28 + 40

here the ( + ) has greater variable so....

= + 12

hence 12 is the answer....

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

Answer: 23

Step-by-step explanation:

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:  2+2=4 .

When we add two negative numbers, the result will be negative.

When we add a negative and a positive number, the result can be positive, negative, or equal to zero.

When we add two positive numbers, the result will be positive.

These are both negative numbers. We know this because they are both to the left of 0. When we add two negative numbers, we will get a result that is less than 0.

k is a negative number while n is a positive number.

Notice that on the number line, k and n appear to be at a equal distance away from 0. This means that if we were to take their absolute values, they would be equal.

This means that adding k and n would result in an answer of 0.

m is a negative number while n is a positive number.

Notice that on the number line, n appears to be further away from 0 than m is. m is very close to 0.

This means that the absolute value of n would be greater than that of m. The result would therefore be positive

Both these numbers are negative. Adding them would produce a negative result.

Answer:

no answer

Step-by-step explanation:

1, -2 ; 1, -4 : -4-2/1-1 = no solution

Answer: B, C

Step-by-step explanation:

All four sides are congruent, so it is both a rhombus and a parallelogram.

It is not a rectangle because we do not know if two of the sides are perpendicular. From this, we also cannot tell if it is a square.