Answer:
5x+4y = 52
Step-by-step explanation:
We can first write the equation in point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - 8 = -5/4 ( x-4)
Multiply each side by 4 to get rid of the fraction
4(y - 8) = 4*(-5/4) ( x-4)
4(y - 8) = -5 ( x-4)
Distribute
4y - 32 = -5x+20
We want the equation in the form
Ax + By = C
Add 5x to each side
5x+4y -32 = -5x+5x+20
Add 32 to each side
5x+4y -32+32 =32+20
5x+4y = 52
Answer: D
Step-by-step explanation:
You need a calculator for this cause the numbers are really large. I used a fx-9860GII Casio calculator. I put the equations on the graph mode. And then I got the x➡️0 for both equations.
I got x=0, y=5000 for the first equation
x=0, y=5200 for the new one.
You can see the y is (5200-5000)=200 more than the old equation. As the x is 0 for both that means the new one moved 200 up for the new one. It goes up cause its positive number .
I put the pictures so you can understand what I'm saying.
Answer:
(a)
(b)
(c)
(d)
(e)
(f)
Step-by-step explanation:
Let as consider the given equations are
.
(a)


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(b)
![[\because \log_aa^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_aa%5Ex%3Dx%5D)
(c)


![[\because \log_aa^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_aa%5Ex%3Dx%5D)
(d)

![[\because \log_aa^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_aa%5Ex%3Dx%5D)
(e)


![[\because \log_aa^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog_aa%5Ex%3Dx%5D)
(f)


![[\because \log10^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog10%5Ex%3Dx%5D)
Answer:
It's a right triangle.
Step-by-step explanation:
△ABC with m∠A=30° , m∠B=60° , and m∠C=90°
It's a right triangle.
Answer:

Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02