If (x – 13) is one factor of x^2– 9x – 52, the other factor is

Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.

A quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.

Suppose a circle where Nathan is facing West.

Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.

So, the direction in which he is facing is South.

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Answer:

W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)

Step-by-step explanation:

In the figure attached, the quadrilateral W'X'Y'Z'  is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:

W'(2, 3) -> W(-2, -3)

X'(6, 3) -> X(-6, -3)

Y'(6, 4) -> Y(-6, -4)

Z'(3, 5) -> Z(-3, -5)

Answer:

the answer is A

Step-by-step explanation:

Mark me brainliest

Answer:

Eighteen decreased by a number, m, is seven point two.

Step-by-step explanation:

18+m=7.2

m=7.2-18

m= -10.8

18+(-10.8)

18-10.8=7.2

Eighteen decreased by a number m is seven point two

The statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.

Word problem are used in mathematical solutions to create a word out of mathematical expressions and vice versa.

According to this question, the following expression is given: 18+m = 7.2

The mathematical expression can also be written as m = 7.2 - 18

Therefore, the statement that can be represented by the equation 18+m = 7.2 is eighteen decreased by a number, m, is seven point two.

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Answer:

y=1 and x= .5

Step-by-step explanation:

distribute

the x has to be solved

they when got the answer

input the answer you got for x into the y and subtract and divide

the answer is one for x

Answer:

The answer should be 23.

Step-by-step explanation:

If C=7, then you just need to plug 7 into the equation.

5(6) - 7

From there, you just need to multiply 5 times 6 which is 30. After that you have 30-7 which gets you 23.

Answer:

28%

Step-by-step explanation:

Fraction= 14 out of 50 weeks

To find percentage multiply the fraction by 100

14/50 * 100

= 1400/50

= 28 percent

Answer:

28%

Step-by-step explanation:

50 ws ................ 100%

14 ws ......................x%

x = 14*100/50 = 14*2 = 28%

Answer:

210 cm^2

Step-by-step explanation:

3x-1 + 4x+1 + 3x = 70

10x = 70

x = 7

Now, Area of the triangle is 1/2 * b * h

therefore,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210

210 is the area!

Hope this helps! mark as brainliest if helped! thanks!

210 cm^2

3x-1 + 4x+1 + 3x = 70

Simplify  

10x = 70

divide by 10

x = 7

So,

1/2 * 3x * 3x-1

1/2 * (3*7) * (3*7 -1)

1/2 * 21 * 20

21 * 10

210 would be your final answer

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)

Answer:   5/6

The complement of an event is basically the complete opposite.

If you define event A to be the event of selecting an R, then the complement of event A is not selecting R.

The probability of selecting R is 1/6 because there is 1 letter R out of 6 letters total. The complement of this is 5/6. You could count out 5 letters that aren't R, out of 6 total, or you can subtract 1/6 from 1 to get

1 - (1/6) = (6/6) - (1/6) = (6-1)/6 = 5/6

Answer:

-5.5776

Step-by-step explanation:

-2.49 times 2.24 = -5.5776

Answer:

Hey!

Your answer is -5.5776!

Step-by-step explanation:

-2.49 times 2.24 = -5.5776

That is your solution!

HOPE THIS HELPS!!

Answer:

45 degrees

Method: Parallel

Answer:

50 lbs.

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

Insufficient evidence. Would you please send a screenshot or a picture of the paper?

Answer:

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

hope this helps

Answer: $13,475

Step-by-step explanation:

1st hour = 350

2nd hour = 420

Total 770 x $17.50 = $13475

Answer:

4xy(10y - 9x).

Step-by-step explanation:

40xy2 − 36x2y

The Greatest Common Factor (GCF) of 40 and 36 is 4.

GCF of x and x^2 is x,

GCF of y^2 and t is y.

So GCF = 4xy.

and  the factors are:

4xy(10y - 9x).

Answer:

given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value

Step-by-step explanation:

Answer:

A. a cone with a volume of 32 cubic feet

Step-by-step explanation:

Answer:

8 = m        -12 =m

Step-by-step explanation:

10=|m+2|

There are two solutions to the absolute value equation, one positive and one negative

10 = m+2     -10 = m+2

Subtract 2 from each side

10-2 = m+2-2          -10-2 = m+2-2

8 = m                            -12 =m

Answer:

8, -12

Step-by-step explanation:

use a online calculator

Answer:

t = 2 sec

Step-by-step explanation:

h = – 2t²– 6t + 20

When the rocket hits the ground. h = 0 ft.

– 2t²– 6t + 20 = 0 /: (-2)

t² + 3t - 10 = 0

(t + 5)(t - 2)=0

t = - 5, t = 2

Time can be only positive.

Step-by-step explanation:

The opposite side is the side of the triangle facing the given angle. The adjacent side is the side that the given angle and the right angle lies on. The hypotenuse side is the side facing the right angle. (The hypotenuse side usually looks like a slanted line. Do note that this is not true if your adjacent and hypotenuse side is not horizontal and vertical respectively on the plane of your paper.)

I'll explain a bit more below using the some of the questions.

Q1) The given angle here is 27°.

X is facing the given angle hence it is the opposite side.

The side that is 10 units long is the adjacent side as 27° and the right angle sits on it.

tanθ= opp/adj

tan27°= x/ 10

x= 10(tan 27°)

x= 5.1 units (nearest tenth)

Q3) x is the adjacent side, while the side that is 7 units long is the hypotenuse side.

cosθ= adj/hyp

cos39°= x/7

x= 7(cos39°)

x= 5.4 units (nearest tenth)

Q4) x is the hypotenuse and the opposite side is 8 units long.

sinθ= opp/hyp

sin46°= 8/x

x(sin46°)= 8

x= 8/ sin46°

x= 11.1 units (nearest tenth)

Q5) x is facing the given angle, hence it is the opposite side. The adjacent side is given here, which is 6 units long.

tanθ= opp/adj

tan23°= x/6

x= 6(tan 23°)

x= 2.5 units (nearest tenth)

Feel free to ask if you still do not understand any concepts :)

sinθ= opp/hyp

cosθ= adj/hyp

tanθ= opp/adj

Answer:

2/15

Step-by-step explanation:

75u = 12 - 2

75u = 10

u = 10 / 75 = 2/15

Answer:

75u=12-2

75u=10

u=10/75

Answer:

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

 Step-by-step explanation:

Step(i):-

Given h(x) = - 16 x² + 48 x +6   ...(i)

Differentiating equation (i) with respective to 'x'

[tex]h ^{l} (x) = - 16 (2 x) +48 (1)[/tex]   ...(ii)

Equating Zero

- 3 2 x + 4 8 = 0

- 32 x = - 48

    x = 1.5

step(ii):-

The maximum height of the ball 'x' = 1.5

Again Differentiating equation (ii) with respective to 'x'

[tex]h ^{ll} (x) = - 16 (2 x) < 0[/tex]

The maximum height 'x' = 1.5

h(x) = - 16 x² + 48 x +6  

h(1.5) = - 16 (1.5)² +4 8 (1.5) +6

         =   42

The maximum height at x = 1.5 is  = 42

Final answer:-

i) The maximum height  of the ball 'x' = 1.5 seconds

ii)   The maximum height  = 42

Answer:

[tex]Range = [24, 375][/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x^3[/tex]

[tex]Domain = [2,5][/tex]

Required

Find the Range

The range is calculated by solving for f(2) and f(5). In other words, the range is calculated when x is 2 and x is 5

When x = 2;

f(2) is as follows;

[tex]f(2) = 3*2^3[/tex]

[tex]f(2) = 3 * 8[/tex]

[tex]f(2) = 24[/tex]

When x = 5;

f(5) is as follows;

[tex]f(5) = 3*5^3[/tex]

[tex]f(5) = 3 * 125[/tex]

[tex]f(5) = 375[/tex]

Hence, the range of the function is [24, 375]

Answer:

4

Step-by-step explanation:

4 times 4 = 16

Answer:

sqrt(16) = +4 and -4

Step-by-step explanation:

A square root has a positive and a negative square root

sqrt(16) = +4 and -4

Answer:

Don't understand this