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azamat
3 years ago
11

2y+4=5x-4= Help please

Mathematics
2 answers:
IgorLugansk [536]3 years ago
7 0

Answer:

x = 2 and y = 1.

Step-by-step explanation:

If in the given quadrilateral all angles ∠A, ∠B, ∠C, ∠D are 90°and opposite sides are equal, then this property of a quadrilateral concludes that the given quadrilateral is a rectangle.

5x - 4 = 2y + 4

5x - 2y = 4+4 =8--------(1)

and 5y + 1 = 3x

3x - 5y = 1--------(2)

We multiply equation 1 by 3 and equation 2 by 5

15x - 6y = 24------(3)

15x - 25y = 5------(4)

Now we subtract equation 4 from 3

15x - 6y - (15x - 25 y) = 24-5

15x -6y -15x + 25y =19

19y = 19

y = 1

By putting y = 1 in equation 1.

5x - 2 = 8

5x = 10

x = 2

timofeeve [1]3 years ago
5 0

Answer:

2y+4 is equal to 5x-4.

5y+1 is equal to 3x.

Step-by-step explanation:

2y+4=5x-4=

According to the properties of a quadrilateral, the parallel or the opposite sides of the figure are equal. Hence, in this figure, the lengths from A to B will be equal to the length from D to C and the lengths from A to D will be equal to the length from B to C.

Therefore, in such a case 2y+4 is equal to 5x-4.

Likewise, 5y+1 is equal to 3x.

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Write the standard equation of the circle with center (– 10, –3) that passes through the point (-3,3).
Sphinxa [80]

Answer:

(x+10)^2 + (y+3)^2 = 85

Step-by-step explanation:

Equation of a circle:

The standard equation of a circle with center (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which r is the radius.

Center (– 10, –3)

This means that x_0 = -10, y_0 = -3. So

(x - x_0)^2 + (y - y_0)^2 = r^2

(x - (-10))^2 + (y - (-3))^2 = r^2

(x+10)^2 + (y+3)^2 = r^2

Passes through the point (-3,3).

This means that we use x = -3, y = 3 to find the radius squared. So

(x+10)^2 + (y+3)^2 = r^2

(-3+10)^2 + (3+3)^2 = r^2

r^2 = 49 + 36

r^2 = 85

The equation of the circle is:

(x+10)^2 + (y+3)^2 = r^2

(x+10)^2 + (y+3)^2 = 85

7 0
3 years ago
A cage holds two litter of rats. One litter comprises one female and five males. The other litter comprises seven females and tw
timurjin [86]

Answer:

The probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

Step-by-step explanation:

Since a cage holds two litter of rats, and one litter comprises one female and five males, while the other litter comprises seven females and two males, and a random selection of two rats is done, to find the probability that the two rats are from the same litter the following calculation must be performed:

6/15 x 5/14 = 0.1428

9/15 x 8/14 = 0.3428

Therefore, the probability that the two rats are from the first litter is 14.28%, and the probability that the two rats are from the second litter is 34.28%.

4 0
3 years ago
Joe's salary in 2001 was $32,600. In 2002, he received a raise of $1560. Assume he receives the same raise every year. Which fun
erastova [34]

Answer:

function i dont know im looking for the same answer but im pretty sure his salary is going to be 41,960 if you multiply the raise by 6 and 43,520 if you multiply the salary by 7

Step-by-step explanation:

5 0
3 years ago
Can someone help me with this math homework please!
uranmaximum [27]
The answer is (-2,0) (2,0) (0,-4)
6 0
3 years ago
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Which statement regarding the diagram is true?
UNO [17]

Answer:

The third statement, m< WXY + m< YXZ=180 is correct.

Step-by-step explanation:

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