Answer:
In ∆ABD and ∆ACD
<BAD =<CAD ( each are half of <A )
<D=<D ( each equal to 90°)
AD = AD ( common)
So ∆ ABD is congruent to ∆ ACD.
Then AB =AC (by C.P.C.T)
Hence,∆ABC is an iso - sceles triangle.
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
<h3>How to construct the exponential function?</h3>
The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
brainly.com/question/24077767
Answer:
C. Infinitely many solutions.
Step-by-step explanation:
-4x - 7 + 10x = -7 + 6x
Combine like terms on the left side. Rearrange the right side.
6x - 7 = 6x - 7
Add 7 to both sides.
6x = 6x
Subtract 6x from both sides.
0 = 0
0 = 0 is a true statement.
Both sides are equal, so all real values of x make the equation true.
Answer: C. Infinitely many solutions.
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
6(5 - 2x) + 12 = -66
Step 2: Solve for <em>x</em>
- Distribute 6: 30 - 12x + 12 = -66
- Combine like terms: 42 - 12x = -66
- Subtract 42 on both sides: -12x = -108
- Divide both sides by -12: x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
6(5 - 2(9)) + 12 = -66
6(5 - 18) + 12 = -66
6(-13) + 12 = -66
-78 + 12 = -66
-66 = -66
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