Plug in y=5x-1 for y in 3x+2y=11
3x+2(5x-1)=11
3x+10x-2=11
13x=13
x=1
plug x=1 to y=5x-1 to find y
y=5(1)-1
y=5-1
y=4
ANSWER: x=1 and y=4 which is (1,4) as an ordered pair
Answer:
Slope = 2 6/11
Step-by-step explanation:
<u>Formula:</u> 
m = slope.
<u>Substitute the given points into the formula:</u>
<u>Solve:</u>
Answer:
y = x - 5
Step-by-step explanation:
The equation given to us is;
y = x - 3
y = (1)x + (-3)
y = mx + c
Where m = slope of the line = 1
As parallel line have same slope, slope of second line is also 1
Use general equation to find line
y = mx + c
y = 1x + c
y = x + c
Substitute (3,-2) in the given equation:
-2 = 3 + c
c = -5
Substitute m=1 and c=-5 in general equation to find the equation of line:
y = mx + c
y = x - 5
Vertex=(0,0)
directrix is x=2.5
or x-2.5=0
so focus S is (-2.5,0)
let P(x,y)be any point on the parabola.
Let M be the foot of perpendicular from P(x,y) on the directrix.
then SP=PM
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
