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snow_tiger [21]
4 years ago
12

URGENT

Mathematics
2 answers:
finlep [7]4 years ago
7 0

Answer:

(1,3) is the center and the radius is 6

Step-by-step explanation:

x^2 −2x + y^2 − 6y = 26

Complete the square for the x term

(-2/2)^2 =(-1)^2= 1  so add 1 to each side

x^2 −2x +1+ y^2 − 6y = 26+1

(x-1)^2+ y^2 − 6y = 27

Complete the square for the y term

(-6/2)^2 =(-3)^2= 9  so add 9 to each side

(x-1)^2+ y^2 − 6y+9 = 27+9

(x-1)^2+ (y-3)^2 = 36

(x-1)^2+ (y-3)^2 = 6^2

This is in the form

(x-h)^2+ (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(1,3) is the center and the radius is 6

Solnce55 [7]4 years ago
6 0

Answer:

Center = (1,3)

Radius = 6

Step-by-step explanation:

(-2/2)^2 = 1

(-6/2)^2 = 9

x^2 -2x + 1 + y^2 -6y + 9 = 26 + 1 + 9

(x-1)^2 + (y-3)^2 =36

6^2 = 36

Center= (1,3)

Radius= 6

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Aleksandr-060686 [28]

The answer for the first one is <em><u>Congruent</u></em> and for the second for the second is <em><u>No</u></em>

8 0
4 years ago
Please please help me with this problem
Sergio [31]
A.  x < -3 \vee x \ge 2

B.  x < 6 \vee x > 14

C.  -4 \le x \le 3


6 0
4 years ago
Lucy has some pennies and some nickels. She has a maximum of 15 coins worth a minimum of $0.47combined.If lucky has 6.9999999999
Verdich [7]

Answer:

Step-by-step explanation:

The worth of a penny is 1 cent = 1/100 = $0.01

The worth of a nickel is 5 cents = 5/100 = $0.05

Let x represent the number of pennies that she could have. Lucy has some pennies and some nickels. She has a maximum of 15 coins. If lucky has 6.999999999999999, it means that

6.999999999999999 + x ≥ 15

x ≥ 15 - 6.999999999999999

x ≥ 8

If the 15 coins worth a minimum of $0.47combined, it means that

0.05(6.999999999999999) + 0.01x ≤ 0.47

0.35 + 0.01x ≤ 0.47

0.01x ≤ 0.47 - 0.35

0.01x ≤ 0.12

x ≤ 0.12/0.01

x ≤ 12

Therefore, the possible values for the number of pennies that she could have is 8 ≤ x ≤ 12

6 0
3 years ago
When the sun is at 31 above the horizon, a tree casts a 42 ft. shadow. how tall is the tree?
Fantom [35]
Answer: 25.2361459992ft

This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.  
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft

5 0
3 years ago
You travel from point A to point B in a car moving at a constant speed of 70 km/h. Then you travel the same distance from point
tankabanditka [31]

Answer:

Yes, the average speed for the entire trip from A to C is equal to 80\frac{km}{h}

Step-by-step explanation:

The average speed of an object is defined as the distance traveled divided by the time elapsed. Velocity is a vector quantity, and average velocity can be defined as the displacement divided by the time. For the special case of straight line motion in the x direction, the average velocity takes the form:

V_a_v_e_r_a_g_e=\frac{x_2-x_1}{t_2-t_1}=\frac{Δx}{Δt}

If the beginning and ending velocities for the motion are known, and the acceleration is constant, the average velocity can also be expressed as:

V_a_v_e_r_a_g_e=\frac{V_1+V_2}{2}

We Know that:

V_1=70\frac{km}{h} \\\\V_2=90\frac{km}{h}

Replacing the values:

V_a_v_e_r_a_g_e=\frac{70+90}{2} =\frac{160}{2}=80\frac{km}{h}

5 0
3 years ago
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