Answer:
x=88 (alternative angles)
y=31 each
v=41 (alternative angles)
w=20 (alternative angles)
Step-by-step explanation:
for y:
we add all the angles got therefore,
20+41+88+y+20+41+88+y=360(because total angle in a quadilateral is 360°)
298+2y=360
2y=360-298
2y=62
therefore y=62/2=31° for each y
Step-by-step explanation:
√3 x² - 2x - √3 = 0
√3 x² - 3x + x - √3 = 0
√3 x(x - √3) + 1(x - √3) = 0
(x - √3 ) (√3 x + 1) = 0
x - √3 = 0 , √3 x +1 = 0
x = √3 , x = -1/√3
Answer:
50%
Step-by-step explanation:
25 x 50% = 12.5
12.5$ off is more than 10$ off
Answer:
(- 4, 27 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides
x² - 16 = 0 ← in standard form
(x - 4)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
Substitute these values into f(x) = - 2x + 19
f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
Question 1:
For this case we have an equation of the form:
Where,
- <em>k: inverse variation constant.
</em>
Then, substituting values we have:
From here, we clear the value of k.
We have then:
Answer:
the constant of inverse variation is:
Question 2:
For this case we have:
Where,
- <em>k: constant of variation.
</em>
Then, substituting the value of the constant we have:
We now substitute the value of x:
Answer:
the value of y when x = 4 is:
