The slope is 2/3 and the y intercept is -3
Answer:
A
Step-by-step explanation:
They are basically wanting the value of x.
These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.
To solve this, we have to use secant-secant theorem.
Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.
In algebra, that is:
![(x+1)(x+1+11)=(x+4)(x+4+1)](https://tex.z-dn.net/?f=%28x%2B1%29%28x%2B1%2B11%29%3D%28x%2B4%29%28x%2B4%2B1%29)
Let's multiply and find the value of x:
![(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2](https://tex.z-dn.net/?f=%28x%2B1%29%28x%2B1%2B11%29%3D%28x%2B4%29%28x%2B4%2B1%29%5C%5C%28x%2B1%29%28x%2B12%29%3D%28x%2B4%29%28x%2B5%29%5C%5Cx%5E2%20%2B%2013x%20%2B%2012%3Dx%5E2%2B9x%2B20%5C%5C13x%2B12%3D9x%2B20%5C%5C13x%20-%209x%20%3D%2020%20-%2012%5C%5C4x%20%3D%208%5C%5Cx%20%3D%202)
Hence, the correct answer choice is A
Answer:
The given congruence is false.
Step-by-step explanation:
Given : Expression ![12 \equiv 10 \mod 5](https://tex.z-dn.net/?f=12%20%5Cequiv%2010%20%5Cmod%205)
To find : Determine whether the congruence is true or false ?
Solution :
The congruence is in the form ![x\mod y\equiv r](https://tex.z-dn.net/?f=x%5Cmod%20y%5Cequiv%20r)
where, x is the dividend
y is divisor
r is the remainder
So, We find ![10 \mod 5](https://tex.z-dn.net/?f=10%20%5Cmod%205)
We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.
![10 \mod 5=0](https://tex.z-dn.net/?f=10%20%5Cmod%205%3D0)
As ![0\neq 12](https://tex.z-dn.net/?f=0%5Cneq%2012)
Therefore, The given congruence is false.
Answer:
<h3>
x = 6 ft. long shadow</h3><h3>
</h3>
Step-by-step explanation:
its a ratio and proportion:
<u> 15 ft. tall giraffe </u> = <u> 5 ft. tall bird </u>
18 ft. shadow x shadow
15 (x) = 18 (5)
x = 90 / 15
x = 6 ft. long shadow
The answer to this is 36,145,097