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Marina CMI [18]
2 years ago
14

Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable.

Mathematics
1 answer:
Kruka [31]2 years ago
6 0

Answer:

x = 12

Step-by-step explanation:

sqrt(x+4) - 3 = 1

First get the sqrt all by itself on one side of the equation. Add 3 to both sides of the equation.

sqrt(x+4) = 1 + 3

sqrt(x+4) = 4

To "fix" the sqrt, that is, "undo it" and get rid of it, you have to SQUARE both sides of the equation.

(sqrt(x+4))^2 = 4^2

x + 4 = 16

subtract 4 to finish up.

x = 12

Check:

sqrt(12 + 4) - 3 = 1

sqrt16 - 3 = 1

4 - 3 = 1

1 = 1 Check!

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traingle abc is an isosceles right triangle with the measure of angle a equal to 90 degrees. the length of segment ac is 6 cm. w
Semmy [17]
Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.)

(6x6) / 2
6x6 = 36
36 / 2 = 18

The area of the isosceles triangle is 18 square centimeters.
4 0
3 years ago
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
Viktor [21]

Answer:

There are approximately 171 families in the sample.

Step-by-step explanation:

Percentile meaning:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.

This means that 24 is 14% of the total number of families.

Approximately how many families are in the sample?

Using a rule of three.

24 - 0.14

x - 1

0.14x = 24

x = 24/0.14

x = 171.4

Rounding to the nearest integer

There are approximately 171 families in the sample.

5 0
3 years ago
Which statement would make this true<br> |-27|_____|-45|<br> A.greater<br> B.equal<br> C.less
Effectus [21]

Answer:

I would say the answer is A.

Step-by-step explanation:

Hope it helps :)

7 0
2 years ago
Need Help!!! ASAP
RoseWind [281]

Answer:

P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}

P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}

P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}

Step-by-step explanation:

The given probabilities are:

P(red)=\frac{2}{7}

P(blue)=\frac{3}{14}

Their sum is P(red)+P(blue)=\frac{2}{7}+\frac{3}{14}

The probabilities that will complete the model should add up to \frac{1}{2} so that the sum of all probabilities is 1.

P(green)+P(yellow)=\frac{2}{7}+\frac{2}{7}\ne\frac{1}{2}

P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}=\frac{1}{2}

P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}

P(green)+P(yellow)=\frac{5}{21}+\frac{11}{21}\ne\frac{1}{2}

P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}=\frac{1}{2}

5 0
3 years ago
2p - 1/q = r/q + 4 , subject q
kondaur [170]

Solve for q:

2 p - 1/q = r/q + 4

Bring 2 p - 1/q together using the common denominator q. Bring r/q + 4 together using the common denominator q:

(2 p q - 1)/q = (4 q + r)/q

Multiply both sides by q:

2 p q - 1 = 4 q + r

Subtract 4 q - 1 from both sides:

q (2 p - 4) = r + 1

Divide both sides by 2 p - 4:

Answer:  q = (r + 1)/(2 p - 4)

4 0
3 years ago
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