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jonny [76]
1 year ago
11

The point (5,-2) is a solution to this system 5x-y=27 -3x+4y=-23. true or false?

Mathematics
1 answer:
zzz [600]1 year ago
8 0

Answer:

True

Step-by-step explanation:

To determine if (5, - 2 ) is a solution to the system , substitute the values of x and y into the left side of both equations and if equal to the right side then it is a solution.

5(5) - (- 2)  = 25 + 2 = 27 = right side

- 3(5) + 4(- 2) = - 15 - 8 = - 23 = right side

the point (5, - 2 ) makes both equations true then is a solution to the system.

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Ind the equation of the tangent line to 9x^2+16y^2=52 through (2, -1)
EastWind [94]
Here are the steps.

In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)

<span>The center is (-9, -4)</span>

Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.

The slope from center to point (2, -1) is 11/3

Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.

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6 0
3 years ago
(a) How many different three-letter initials can people have: , (b) How many different three-letter initials with none of the le
marissa [1.9K]

Answer:

Step-by-step explanation:

A) 26*26*26 =17576

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5 0
2 years ago
Find the quotient of the quantity negative 6 times x to the 2nd power times y to the 8th power plus 12 times x times y to the 3r
olga nikolaevna [1]
[ - 6 * x^2 * y^8 + 12*  x * y^3 - 36 * x * y^2 ] / [6*x*y^2] =

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6 0
3 years ago
Read 2 more answers
Is (2, 1) a solution of y = 3x - 5
Aleks [24]
Yes 2,1 is a solution of this problem
8 0
3 years ago
A . it is increasing and linear
Paha777 [63]

Answer:

The answer is B.

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From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.

8 0
2 years ago
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