Answer:
(4 , -6) x = 4.
Step-by-step explanation:
Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.
so now we know that ( ? , -6) has an X value which is unknown.
inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)
now plot the y value into the equation
4X + Y = 10 , Y = -6
4X + (-6) = 10
4X + - 6 = 10 ...... we know that A + - B = A - B
4X - 6 = 10
now take -6 to the right side
when -6 is taken to the right side, it changes to +6
and so ..
4X = 10 + 6
4X = 16
now divide both sides by 4 to find X
4X / 4 = 16 / 4
4 the coefficient of X which is 4 cancels with out denominator which is now 4
X = 16 / 4
16 ÷ 4 = 4.
Answer:
110
Step-by-step explanation:
Hello There!
If you didn't know the rule about angles in a triangle is that they have a sum of 180
So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180
so the missing angle = 180 - 30 - 40
180 - 30 = 150
150 - 40 = 110
so the missing angle = 110
Answer:
A
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = 
= 
= 
Multiply both sides by 7, thus
AC = 7sin40° → A
Answer:
The value of the expression given is:
Step-by-step explanation:
First, you must divide the expression in three, and to the final, you can multiply it:
- [(3^8)*(2^(-5))*(9^0)]^(-2)
- [(2^(-2))/(3^3)]^4
- 3^28
Now, we can solve each part one by one:
<em>First part.
</em>
- 3^8 = 6561
- 2^(-5) = 0.03125
- 9^0 = 1 (Whatever number elevated to 0, its value is 1)
- (6561 * 0,03125 * 1) = 205.03125
And we elevate this to -2:
- 205.03125^-2 = 2<u>.378810688*10^(-5)</u> or <u>0.00002378810688
</u>
<em>Second part.
</em>
- 2^(-2) = 0.25
- 3^3 = 27
- 0.25 / 27 = 9.259259259 * 10^(-3) or 0.00925925925925
And we elevate this to 4:
- 0.00925925925925^4 = <u>7.350298528 * 10^(-9)</u> or <u>0.000000007350298528
</u>
<em>Third Part.
</em>
- 3^28 = <u>2.287679245 * 10^13</u> or <u>22876792450000</u>
At last, we multiply all the results obtained:
- 0.00002378810688 * 0.000000007350298528 * 22876792450000 = <u>3.999999999999999999</u> approximately <u>4</u>
<u><em>We approximate the value because the difference to 4 is minimal, which could be obtained if we use all the decimals in each result</em></u>.
That it has the highest y-intercept of all of the three linear functions.
(and that the question could be worded better, but don't put that in your answer)
