-9y + 4x - 20 = 0

-7y + 16x - 80 = 0

x =
y =

Answers

Answer 1
Answer:

Answer:

x=5

y=0

Step-by-step explanation: -7y + 16x - 80 = 0

x=5

-9y + 4x - 20 = 0

y=0


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(0,0); m = -2 write an equation of the line that passes through the given point and has the given slope.
If arctan(3/5)=K    Tan(k)=?
A football field is about 100m long. If it takes a person 20 seconds to run its length, how fast were they running?

Look at the following picture. What would be the resultant vector of A+B? vector b is 4.78m 67 degress vector a 21 degrees 11.3mthe picture wont upload

Answers

Answer:

The resultant vector, A+B, has a Magnitude of 15.02 meters and an angle of 34.23 degrees

Step-by-step explanation:

We need to convert the vectors given to x,y coordinate form.

We use the formula below:

x=ACos\theta

y=ASin\theta

Where A is the magnitude and \theta is the angle.

Vector A:

x=ACos\theta\nx=(11.3)Cos(21)\nx=10.55

and

y=(11.3)Sin(21)\ny=4.05

Vector B:

x=(4.78)Cos(67)\nx=1.87

and

y=(4.78)Sin(67)\ny=4.40

Now we can write the vectors as:

A = <10.55,4.05>

B = <1.87,4.40>

To add, A+B, we have:

A + B = <10.55+1.87, 4.05+4.40>

A + B = < 12.42, 8.45 >

To convert this into magnitude/degree format:

Magnitude = √((12.42)^2 + (8.45)^2) =15.02

Angle = Tan^(-1)((8.45)/(12.42))=34.23

Which answer explains the correct way to move the decimal to find the quotient of 60.8 ÷ 1,000?A.


two places to the left


B.


two places to the right


C.


three places to the left


D.


three places to the right

Answers


your answer would be C, cause 1,000 has three zeros;

60.8 ÷ 1,000 = 0.0608

The answer is 3 places to the left


Find the value of n such that x^2-19x n is a perfect square trinomial.Answer choices:
A. -19/2
B. 361/4
C. 361
D. 361/2

Answers

Answer:  The correct option is (b) (361)/(4).

Step-by-step explanation:  We are given to select the correct value of 'n' such that x^2-19x+n becomes a perfect square trinomial.

The standard form of a perfect square trinomial is

(x+a)^2=x^2+2a+a^2.

Now, we can write

x^2-19x+n\n\n=x^2-2* x* (19)/(2)+(361)/(4)+n-(361)/(4)\n\n\n=(x-(19)/(2))^2+n-(361)/(4).

So, for the given expression to be perfect trinomial,

n-(361)/(4)=0\n\n\Rightarrow n=(361)/(4).

Thus, (b) is the correct option.

B. 361/4
you get: x^2-19x+361/4=(x-19/2)^2

Is 0.7 greater than 0.75 or less than 0.25

Answers

.70 is not greater than .75 but it is greater than .25!

Answer with solutions.Find the corresponding roots in the box for the given quadratic

equations and get the letters to decode the hidden message . You

may use the extracting the square root method

P:±6
M: ±7
C:5,6
A : 0
J:4,-1

Q:±√5
L:±11
H:±4
D:-4,1 I:±3

S:16,-6
Y: ±8
B:±4√2
E:±2
A:0,-4

U:6,0
U:±√10
N:6,-16
G:1,-1
T:±2√2

O:±6√2
V:±√3
I:±5
J:-7,-1
K:5,-2

W:±12
F:±2√3
X:±6
R:0,-6
•:9±√6
/4

Message : __________________________________

________________________________________

1. x2 = 49
2. x2 -27 =0
3. 3x2-36= 0
4. 9x2 = 0
5. 5x2- 15=0
6. 2x2- 144=0
7. ( x + 3)2 = 9
8. 4x2 -100 =0
9. 5x2 = 40

10. 3x2 -12 = 0

11. (x-5)2

Answers

The corresponding roots of the quadratic equations are given.

What are Quadratic Equations?

Quadratic expressions are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

1. x² = 49

Find the square root.

x = ±√49 = ±7

2. x² - 27 = 0

x² = 27 = 9 × 3

x = √27 = √(9×3) = √9 × √3 = ±3√3

3. 3x² - 36 = 0

3x² = 36

Divide 3 on both sides.

x² = 12

x = √12 = √(4 × 3) = ±2√3

4. 9x² = 0

x = 0

5. 5x² - 15 = 0

5x² = 15

x² = 3

x = ±√3

6. 2x² - 144 = 0

2x² = 144

x² = 72

x = √72 = √(36 × 2) = ±6√2

7. (x + 3)² = 9

x + 3 = √9

x + 3 = ±3

x = 3 - 3 = 0 and x = -3 - 3 = -6

8. 4x² - 100 = 0

4x² = 100

x² = 25

x = ±√5

9. 5x² = 40

x² = 8

x = √8 = √(4 × 2) = ±2√2

10. 3x² - 12 = 0

3x² = 12

x² = 4

x = ±2

11. (x - 5)² = 121

x - 5 = √121

x - 5 = ±11

x = 11 + 5 = 16 or x = -11 + 5 = -6

Hence the solutions are found.

Learn more about Quadratic Equations here :

brainly.com/question/30098550

#SPJ7

An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll?(Hint: Make sure your calculator is in degrees!)A. 5399.7 km
B. 5.4 km
C. 81.41 km
D. 760.8 km

Answers

You need to draw the diagram to understand the problem easily. Teh diagram will show the right triangle, acute angle with the base  7º, height is 663 m, and "x" is the base of the triangle. 

using the tangent ratio: 

tan
Θ = opposite / adjacent

tan7º = 663 m / x 

x = 663 m / tan7º
x = 5,399.7 m 

change m to km. 1,000 m = 1km

5,399.7m * 1km/1,000 m = 5,399.7 km/1000 = 5.3997 km or 5.4 km

B. 5.4 km