Answer:
3.4
Step-by-step explanation:
If we look at the top left triangle and the triangle with x, we notice that they are similar (since they have a 57° and a right angle). This means that 4 / 1 = x / 0.84, which means that x = 3.4.
Answer:
1.) 7. (7 x 7 = 9)
2.) IDK, sorry
3.) 8/27
Apply the product rule to 2/3
2^3/ 3^3
Raise 2 to the power of 3.
8/27
4.) 9
1. Exponentiation: 3 ^ 4 = 81
2. Exponentiation: 3 ^ (-2) = 0.111111111111 = 1/9
3. Multiple: the result of step No. 1 * the result of step No. 3 = 81*1/9 = 81 · 1/1 · 9 = 81/9 = 9 · 9/1 · 9 = 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(81, 9) = 9. Cancelling by a common factor of 9 gives 9/1.
In words - eighty-one multiplied by one ninth = nine.
4. Exponentiation: 3 ^ 0 = 1
5.Multiple: the result of step No. 4 * the result of step No. 5 = 9 * 1 = 9
5.) 1/125
5 ^ (-3) = 0.008 = 1/125
6.) IDK, sorry
Hope this helps! The slope of the line passing through
(
2
,
7
)
and
(
0
,
−
5
)
is
m
=
y
2
−
y
1
x
2
−
x
1
=
−
5
−
7
0
−
2
=
−
12
−
2
=
6
.
Answer:
x + 5y = 0
Step-by-step explanation:
y = mx + b
y = -1/5 x + b
1 = -1/5 (-5) + b
1 = 1 + b
b = 0
y = -1/5 x
5y = -x
x + 5y = 0
Answer:
y = 1/2x + 4
Step-by-step explanation:
If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.
So solve for b: using y = mx + b
2 = 1/2(-4) + b
2 = -2 + b
4 = b
Put it all together
y = 1/2x + 4