Answer:
132 teaspoons in a 22 ounce can
Step-by-step explanation:
There are 6 teaspoons in 1 ounce
22 * 6 = 132
The required equation of line B is 2y+5x=-2
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the line A expressed as:
2x = 5y – 25
Rewrite in standard form
5y = 2x + 25
y = 2/5 x + 5
The slope will be 2/5
The slope of the perpendicular line will be;
Substitute the point (-6, 14) and slope -5/2 into the equation above to get the required equation of line B
Hence the required equation of line B is 2y+5x=-2
Learn more here: brainly.com/question/13140886
The small right angled triangle with hypotenuse vale 5 is similar to the big triangle with b as the hypotenuse
Corresponding sides are in the same ratio so we can write
a/12 = 5/b.....(1)
Also applying pythagoras theorem to the large triangle
b^2 = 5^2 + 12^2
b^2 = 169
b = 13
So substituting in equation (1):-
a / 12 = 5 / 13
a = (5*12 ) / 13
Answer:
(-3/10,-16/5)
Step-by-step explanation:
One way to solve a system of equations is by elimination. We can take one equation and subtract the other equation from it to cancel out on of the variables making the equation into something we can solve. In this case the Y's will cancel out because we have 1 Y in each equation
-4x+y=-2
6x+y=-5 subtract
-4x-6x=-10x
y-y=0
-2-(-5)=3
so our equation is -10x=3 and we can solve for x giving us x=-3/10
now we can plug -3/10 in for x into either of the original equations and solve for Y
y+5=-6(-3/10)
y+5=9/5
y=-16/5
so our answer is (-3/10,-16/5)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
