ok, i will help you.
For the first equation, we have points
(-1, -4)
and
(1, -1)
we also know the y-intercept is
(0, -2)
we can make systems of equations to solve for the equation of this exponiental function
y=ab^x
-1=ab
-2=a*1
a=-2
-1=-2(b)
b=1/2
The exponiental fufnction here is y=(-2)(1/2)^x
2nd equation
(0, 6)
(1, 12)
12=ab
6=a*b^0=6
a=6
12=6(b)
b=2
2nd equation is
y=6(2)^x
Answer:
-5
Step-by-step explanation:
x=? Y=x+3 ; y=-2
replace -2 with Y
-2 = x + 3
Then subtract 3 from both sides
-2 = x + 3
-3 -3
Then the positive and negative 3 cancels out leaving only
-5 = x
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8.....slope (m) is -5/2
3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7.....y int (b) = -10/7
so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form
Answer: SO if you hv to solve for x then the answer is 4/13. And if you wanna solve for y then the answer is 4.
Step-by-step explanation: solve for x=
13x+y=4
13x+0=4
x=4/13
Solve for y=
13(0)+y=4
y=4
Answer:
AB ≈ 15.7 cm, BC ≈ 18.7 cm
Step-by-step explanation:
(1)
Using the Cosine rule in Δ ABD
AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )
= 153.76 + 272.25 - (409.2 cos64° )
= 426.01 - 179.38
= 246.63 ( take the square root of both sides )
AB =
≈ 15.7 cm ( to 1 dec. place )
(2)
Calculate ∠ BCD in Δ BCD
∠ BCD = 180° - (53 + 95)° ← angle sum in triangle
∠ BCD = 180° - 148° = 32°
Using the Sine rule in Δ BCD
=
=
( cross- multiply )
BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )
BC =
≈ 18.7 cm ( to 1 dec. place )