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sammy [17]
3 years ago
12

Solve.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

  (2, -3)

Step-by-step explanation:

Apparently, the equations are supposed to be ...

  • 4x +y = 5
  • 3x +y = 3

The solution for x can be found by subtracting the second equation from the first:

  (4x +y) -(3x +y) = (5) -(3)

  x = 2 . . . . . . . matches the second answer choice

Y can be found from either equation:

  y = 5 - 4x . . . . . subtract 4x from the first equation

  y = 5 -4(2) = -3

The solution is (x, y) = (2, -3).

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umka21 [38]

It forms a right triangle.

To find X you can use the Pythagorean theorem which would be written as x^2 = a^2 + b^2

This can be rewritten as x = sqrt(a^2 + b^2)

Using the dimensions of the tree the answer would be :

B. x = sqrt(8^2 + 13^2)

5 0
3 years ago
Given the angles in the diagram, what is the angle measurement of the missing angle?
Eva8 [605]

Answer:

150*

Step-by-step explanation:

Using the formula (n -2) x 180* we find that there is 4 sides (n) and in put it and simplify to make (2)x180*. From there we calculate there is 360* in this polygon, and subtract the degrees already provided.  360-210=150

5 0
3 years ago
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7 1/2 divided by 1 2/3
Rina8888 [55]

Answer:

5

Step-by-step explanation:

6 0
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The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood
Colt1911 [192]

Answer:

The answer is "\bold{6.6 \times 10^{12}\ years}"

Step-by-step explanation:

Let the given value is:

R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years

7 0
3 years ago
Find the coordinates of point B along a directed line segment from A(3,4) and
andreev551 [17]

We have been given two points. A(3,4) and C(3,9). We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio m:n, then coordinates of point P are:

[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]

(x_1,y_1)=(3,4) and (x_2,y_2)=(3,9).

m=4,n=1

Upon substituting our given information in above formula, we will get:

[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]

[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]

[\right x=\frac{15}{5},y=\frac{40}{5}\left]

[\right x=3,y=8\left]

Therefore, the coordinates of point B would be (3,8).

8 0
3 years ago
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