Which expression is the factored form of -4.5n + 3

What are the real solutions of x squared =225

Gnesinka [82]

The real solutions the equation as given in the task content; x² = 225 are; +25 and -25.

<h3>What are the real solutions of the equation as given in the task content?</h3>

It follows from the task content that the real solutions of the equation as given in the task content can be determined as follows;

x² = 225

x = ± 15

Therefore, the real solutions of the equation are; +25 and -25.

Read more on real solutions of equations;

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3 0

1 year ago

Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us

Alex777 [14]

Answer:

Option (1) is correct.

Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Step-by-step explanation:

Given : Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7).

Distance between two points can be calculate using distance formula,

Distance formula states given two points P(a,b) and Q(c,d) the distance between P and Q can be calculated using the given expression ,

$D=\sqrt{(c-a)^2+(d-b)^2}$

Thus, distance between point E(3, 1) and point F(4, 7) can be calculate using above formula as ,

Here, a= 3 , b= 1 , c = 4 and d = 7

$D=\sqrt{(c-a)^2+(d-b)^2}$

Substitute above values, we get,

$D=\sqrt{(4-3)^2+(7-1)^2}$

$D=\sqrt{(1)^2+(6)^2}$

$D=\sqrt{37}$

Thus, Barry uses the expression " square root of the quantity of 7 minus 1 all squared plus 4 minus 3 all squared " to find the distance between point E(3, 1) and point F(4, 7).

Thus, Option (1) is correct.

6 0

2 years ago

Read 2 more answers

All about simulitious equations

Korolek [52]

Answer:

On occasions you will come across two or more unknown quantities, and two or more equations

relating them. These are called simultaneous equations and when asked to solve them you

must find values of the unknowns which satisfy all the given equations at the same time.

Step-by-step explanation:

1. The solution of a pair of simultaneous equations

The solution of the pair of simultaneous equations

3x + 2y = 36, and 5x + 4y = 64

is x = 8 and y = 6. This is easily verified by substituting these values into the left-hand sides

to obtain the values on the right. So x = 8, y = 6 satisfy the simultaneous equations.

2. Solving a pair of simultaneous equations

There are many ways of solving simultaneous equations. Perhaps the simplest way is elimination. This is a process which involves removing or eliminating one of the unknowns to leave a

single equation which involves the other unknown. The method is best illustrated by example.

Example

Solve the simultaneous equations 3x + 2y = 36 (1)

5x + 4y = 64 (2) .

Solution

Notice that if we multiply both sides of the first equation by 2 we obtain an equivalent equation

6x + 4y = 72 (3)

Now, if equation (2) is subtracted from equation (3) the terms involving y will be eliminated:

6x + 4y = 72 − (3)

5x + 4y = 64 (2)

x + 0y = 8

5 0

2 years ago

Calculate the perimeter of an equilateral triangle which has a side of 14cm

g100num [7]

An equilateral triangle has 3 equal sides. Since one side is 14 cm, then all sides are 14 cm. You multiply 4 by 3 and you get your answer.

14*3=42. The perimeter is 42cm.

4 0

3 years ago

The value of x varies directly with the value of y, and when x=20, y=18. What is the value of “k”, the constant of proportionali

stealth61 [152]

Answer:

In this case, y=30 and x=6, so 30=k*5<=> k=30/6=5.

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

8 0

2 years ago

Which expression is the factored form of -4.5n + 3​

Which expression is the factored form of -4.5n + 3