Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2
/5
Step: Substitute 2/
5 for x in y=4x−6:
y=4x−6
y=4 (
2/
5
) −6
y= −22
/5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
Step-by-step explanation:
1965 round to the nearest tenth is 1970
Step-by-step explanation:
<em>Given,</em>
<em>f(</em><em>x)</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>x</em><em> </em><em>-</em><em> </em><em>5</em>
<em>as,</em>
<em>f(</em><em>4</em><em>)</em><em> </em><em>so,</em>
<em>f(</em><em>4</em><em>)</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>(</em><em>4</em><em>)</em><em> </em><em>-</em><em> </em><em>5</em><em> </em>
<em>=</em><em> </em><em>4</em><em>8</em><em> </em><em>-</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>4</em><em>3</em><em> </em><em>ans.</em>
<em><u>hope </u></em><em><u>this </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>dear </u></em><em><u>take </u></em><em><u>care</u></em><em><u>!</u></em>
Given:
Image of the ellipse
To find:
The equation of the image
Solution:
The given image is a ellipse.
Center of the ellipse = (0, 0)
x-axis points are (-3, 0) and (3, 0).
y-axis points are (2, 0) and (-2, 0).
Standard form of equation of ellipse:

where (h, k) is the center = (0,0)
a is the point on x-axis where y = 0. Hence a = 3.
b is the point on y-axis where x = 0. Hence b = 2.
Substitute this in the standard form of ellipse.


To make the denominator same multiply 1st term by
and 2nd term by
.



Multiply by 36 on both sides


The equation of the image is
.
Answer:
7%
Step-by-step explanation:
31 + 371 + 21 = 423
31/423 = 7%