Complete the ordered pair so that it is a solution of 2/3 x + y - 1 = 0.(-6, ___)

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Answers

Answer 1

Answer:

Keywords:

equation, variables, ordered pair, solution

For this case we have an equation with two variables, "x" and "y". Also, we have that the value of "x" is given by: $x = -6$ . We must find the ordered pair of the solution of the equation.

Let: $\frac {2} {3} x + y -1 = 0$

We substitute $x = -6$ in the equation:

$\frac {2} {3} (- 6) + y -1 = 0\n-4 + y-1 = 0\ny = 1 + 4\ny = 5$

Thus, the ordered pair that is the solution of the equation $\frac {2} {3} x + y -1 = 0$ is $(x, y) = (- 6,5)$

Answer:

$(x, y) = (- 6,5)$

Answer 2

Answer: 2×-2 +y-1=0
-4+y-1=0
y-5=0
y=5
......
(-6,5)

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a=13 c=15 A=53 Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.

Answers

Answer:

The given measurement will produce only 1 triangle

Step-by-step explanation:

Given:

a = 13

c = 15

∠A = 53°

now, applying the law of sine, we have

(a/sinA) = (c/sinC)

on substituting the values, we get

(13/sin53°) = (15/sinC)

sinC = 0.921

C = 67.14°

also, sum of all the angles of a triangle = 180°

thus,

∠A + ∠B + ∠C = 180°

53° + 67.14° + ∠B = 180°

∠B = 59.85°

now,

again applying the law of sine, we have

(a/sinA) = (b/sinB)

on substituting the values, we have

(13/sin53) = (b/sin59.85°)

b = 14.07

now, we have all the dimension of the triangle and have obtained the unique values,

Therefore, the given measurement will produce only 1 triangle

What conic section does the equation x2 + y2 – 4y – 1 = 0 represent?ellipse

hyperbola

circle

parabola

Answers

The conic section that the above equation represents is a CIRCLE.

Use completing the square for y and put the equation in standard form:
x²+ y² - 4y + [(-4)/2]² - 1 = 0 + [(-4)/2]²
x² + y² - 4y + (-2)² - 1 = 0 + (-2)²
x² + y² - 4y + 4 - 1 = 4
x² + (y - 2)² - 1 = 4
x² + (y - 2)² = 4 + 1
x² + (y -2)² = 5

The radius of the circle is the square root of 5. Its center is found at (0,2)

Select the correct answer.Which logarithmic equation is equivalent to this exponential equation?
12=5^x

A. x=log↓12 5
B. x=log↓5 12
C. 5=log↓x 12
D. 12=log↓5 x

Answers

Answer: To convert the exponential equation 12=5^x to a logarithmic equation, we can use the following formula:

logb(x) = y

is equivalent to

b^y = x

where b is the base of the logarithm.

In this case, we have:

5^x = 12

which is equivalent to:

log5(12) = x

Therefore, the answer is A. x=log↓12 5.

A trailer is rented at $30 per day plus a charge per mile of use. The trailer traveled 25 miles in one day, and the total charge was $130. Which equation can be used to find the charge x, in dollars, per mile traveled?30x + 25 = 130

30x + 25x = 130

30 + 25x = 130

30 + 25 = 130x

Answers

30+25x=130 is the corresponding equation

My sister is 14 years old. my brother says that his age minus 12 equal to my sister's age.

Answers

Answer:

26 years old.

Step-by-step explanation:

First lets write an expression for this problem.

That will be 14 + 12 = x

You will do this because it says how the persons sister's age is 14. And the brother says that his age is 12 minus equal to his sister's age. So that's why you use that expression.

So 14 + 12 will give yo 26.

So that means the brother is 26 years old.

Is 41 prime, composite, or neither?

prime
composite
neither