1. since the equations equal each other
2x+19=x+7
-x -x
x+19=7
-19 -19
x= -12
sub into y= x+7
y= -12+7
y= -5
2. x+2y=-7
<span>x+y+23=0
i don't know what the second equation is equal to, i'll assume 0
2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
-39/2 -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10
3. </span>x+5y=2
<span>x=-4y+5
</span>sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
-5 -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17
4. 3x+y=9
<span>y=-5x+9
</span>sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
-9 -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9
3a) The figure has 5 sides and 5 vertices
3b) None of the sides are congruent, so the figure is not are guitar polygon
Answer: B
Step-by-step explanation:
The range of a function is the set of all possible values for the function's dependent variable. In this case, that variable is y, so we can look at the graph to observe what possible y-values fit in the range.
There are no y-values below -1 on the chart, and the function goes upwards to infinity, so the correct answer is B, y is greater than or equal to -1.
Answer:
A
Step-by-step explanation:
10-6 X 10-1 = 10-7
5.7*46.2=263.34
263.34=2.6334 x 10^2
10^2 x 10^-7 = 10^-5
so
=2.6334 x 10-5
The length of hypotenuse of an isosceles right triangle with two equal legs each 4 cm is given by Pythagorean theorem as follows.
√42+42.
=√32.
=4√2.
4√2 cm.
