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Leto [7]
3 years ago
12

Simplify and show step by step 30 POINTS!

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Step-by-step explanation:

the explanation is in the diagram above

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When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
wariber [46]

Answer:

-1

Step-by-step explanation:

You can write it as...

x^{2} -5=4x

Carry the 4x

x^{2} -4x-5=0

Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have

(4-\sqrt{16+20}) /2=\frac{4-6}{2}=\frac{-2}{2} =-1

Therefore our answer is -1

8 0
3 years ago
Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer
Y_Kistochka [10]

Answer:

x_2=x_1

Step-by-step explanation:

We were given the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

This line is vertical if the denominator is zero.

That is when x_2-x-1=0

This implies that;

x_2=x_1

Justification;

When x_2=x_1, then, the line passes through;

(x_1,y_1)  and (x_1,y_2)

The slope now become

m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}

The equation of the line is

y-y_1=\frac{y_2-y_1}{0}(x-x_1)

This implies that;

0(y-y_1)=(y_2-y_1)(x-x_1)

0=(y_2-y_1)(x-x_1)

\frac{0}{y_2-y_1}=(x-x_1)

0=(x-x_1)

x=x_1... This is the equation of a vertical line.

3 0
3 years ago
Choose the correct word that completes each statement about inscribing a square in a circle.
Anna11 [10]

Answer:

1. Perpendicular

2. Isosceles

3. Never

Step-by-step explanation:

1. AC ⊥ BD because diameter of a square are perpendicular bisector of each other.

2. In Δ AOB , By using pythagoras : AB² = OA² + OB² .......( 1 )

In Δ COB , By using pythagoras : BC² = OC² + OB²  ..........( 2 )

But, OA = OC because both are radius of same circle

So, by using equations ( 1 ) and ( 2 ), We get AB = BC ≠ AC

⇒ ABC is a triangle having two equal sides so ABC is an isosceles triangle.

3. The side can never be equal to radius of circle because the side of the square will be chord for the circle and in a circle chord can never be equal to its radius


7 0
3 years ago
2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descen
Komok [63]

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

8 0
3 years ago
Plzzzzzzz help quick i have 10 mins left!!!
kumpel [21]

Answer:

A)

O = 3S

While O is the number of ounces of meat

While S is the number of sandwiches

B)

S= O/3 = 18/3 = 6 Sandwiches

6 0
2 years ago
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