Answer:
4*sqrt(2)
Step-by-step explanation:
lets use Pythagorean Theorem
a^2+b^2=c^2
4^2+4^2=c^2
16+16=c^2
32=c^2
|c|=sqrt(32)
|c|=sqrt(4*4*2)
|c|=4*sqrt(2)
c= ±4*sqrt(2)
since distance can't be negative, the answer is +4*sqrt(2) or just 4*sqrt(2)
1/4 + 5/12 = 3/12 + 5/12= 8/12 = 2/3
You must get the denominators the same so you multiply both 1 and 4 and you get 3/12. Then you add the two fractions and simplify it into 2/3
Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
9(3−2x)=2(10−8x)
Step 1: Simplify both sides of the equation.
9(3−2x)=2(10−8x)
(9)(3)+(9)(−2x)=(2)(10)+(2)(−8x)(Distribute)
27+−18x=20+−16x
−18x+27=−16x+20
Step 2: Add 16x to both sides.
−18x+27+16x=−16x+20+16x
−2x+27=20
Step 3: Subtract 27 from both sides.
−2x+27−27=20−27
−2x=−7
Step 4: Divide both sides by -2.
−2x
−2 = −7
/−2
x=
7/
2
Answer:
x=
7/
2
