Answer: Increase
Step-by-step explanation:
Answer:
x = 23/5 and y = 7/20
Step-by-step explanation:
2x + 8y = 12 and 3x - 8y = 11 are two given equations
Now,
<u>Step </u><u>1</u><u>:</u>
2x + 8y = 12 ...(1)
3x - 8y = 11 ...(2)
<u>Step </u><u>2</u><u>:</u>
From equation (2) we get the value of x
i.e.,
3x - 8y = 11
3x = 8y + 11
<em><u>x = 8y + 11/3</u></em>
<u>Step </u><u>3</u><u>:</u>
Now,
Put the value of <u>x = 8y + 11/3</u><u> </u>in equation (1) we get,
i.e.,
2x + 8y = 12
2(8y + 11/3) + 8y = 12
16y + 22/3 + 8y = 12
16y + 22 + 8y(3)/3 = 12
16y + 22 + 24y/3 = 12
16y + 24y + 22 = 12 * 3
40y = 36 - 22
40y = 14
y = 14/40
<em><u>y = 7/20</u></em>
<u>Step </u><u>4</u><u>:</u>
Now,
Substitute the value of <u>y = 7/20</u><u> </u>in equation (2) we get,
i.e.,
3x - 8y = 11
3x - 8(7/20) = 11
3x - 56/20 = 11
3x - 14/5 = 11
3x = 11 + 14/5
3x = 11 * 5 + 14/5
3x = 55 + 14/5
3x = 69/5
x = 69/3 * 5
<em><u>x = 23/5</u></em>
A line through two points A, B can be found by the point-slope form of the formula:
(y-ya)=m(x-xa)............(1)
and
m=(yb-ya)/(xb-xa).......(2)
where A(xa,ya), B(xb,yb) and m is the slope between points A & B.
Substituting
A(xa,ya)=A(1,3)
B(xb,yb)=B(0,2)
From (2)
m=(yb-ya)/(xb-xa)
=(2-3)/(0-1)
=-1/(-1)
=1
Substitute in (1) : (y-ya)=m(x-xa)
y-3=1(x-1)
Distribute and simplify
y=x-1+3=x+2
or
y=x+2 .................(3a) equation required in slope-intercept form
x-y+2=0...............(3b) equation in standard form
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is fal
oee [108]
Answer:
Step-by-step explanation:
Let's suppose it's a c). Ø (X Y). So X Y= X U Y ={-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}. (X Y)=Ø is the wrong statement.
Answer:
-1
Step-by-step explanation:
-10-3=-13 then divide -13 by 13x and x= -1