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Effectus [21]
2 years ago
7

Rewrite the expressions below by completing the square.

Mathematics
1 answer:
Mrrafil [7]2 years ago
3 0

Answer:

(x + 2)^2 - 1

Step-by-step explanation:

x^2 + 4x + 1

= (x^2 + 4x + 2 - 2 + 1)

= (x + 2)^2 - 1

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111 is 25\%25%25, percent of what number?
vodka [1.7K]

Answer:

444

Step-by-step explanation:

111x4=444

25 percent is equal to 1/4

8 0
2 years ago
Given gif and GHF, write three proportions involving geometric mean.<br>​
almond37 [142]

Answer:

\frac{z}{h}=\frac{h}{y}\\\\\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you can identify that the altitude that goes from the vertex of the right angle (\angle G=90\°) to the hypotenuse of the triangle, is:

GF=h

Then, based on the Altitude Rule, you can set up the following proportion:

\frac{z}{h}=\frac{h}{y}

According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.

Knowing this, you can set up the following proportions:

\frac{a}{x}=\frac{x}{z}\\\\\frac{a}{w}=\frac{w}{y}

6 0
3 years ago
Read 2 more answers
How can I show that 0 is not a natural number​
madam [21]

Answer:

The reason why 0 is not a natural number is because does not have a value which is positive or negative. Therefore, since all real numbers are positive integers, we do not assume that zero is a natural number. Although zero is called a number in its entirety.

Step-by-step explanation:

5 0
3 years ago
Mrs. Hargrove owes the doctor $34.56. she gives the clerk $50.00 What is the total amount of change Mrs.Hargrove should receive
Valentin [98]

Answer:

$15.44

Step-by-step explanation:

50 - 34.56 = 15.44

8 0
2 years ago
Read 2 more answers
The tension t in a spring varies directly with the distance d the spring is stretched. If the
yarga [219]

Answer:

t = 21d

Step-by-step explanation:

Here tension and distance are denoted t by d  and  respectively. Since  t varies directly with d , then the relation between  t and d is k=td Given that, for the tension 42 pounds, the spring is stretched 2 inches. Substituting  t = 42 and d= 2 into  t = kd find the value of k . Therefore,

42= K (2)

K=\frac{42}{2}

K= 21

Thus the relationship is t = 21d

(Hope this helps can I pls have brainlist (crown)☺️)

7 0
2 years ago
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