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3 years ago

How do you simplify 1/5x -3 =4

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

Step-by-step explanation:

1/5x - 3 = 4

first move 3 to the other side with addition

1/5x = 7

then you can divide 7 by 1/5

7/1 • 5/1 (when dividing fractions the second one is always the opposite reciprocal)

=35/1 = 35

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Prove that the following four points will form a rectangle when connected in order

Lemur [1.5K]

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

Distance between two points = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between A(0, -3) and C(2, 8),

AC = $\sqrt{(8+3)^2+(2-0)^2}$

= $\sqrt{125}$

= $5\sqrt{5}$

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = $\sqrt{(5-0)^2+(6+4)^2}$

= $\sqrt{125}$

= $5\sqrt{5}$

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

8 0

3 years ago

Match the terms to their definition.1 . an open sentence of the form Ax + By + C < 0 or Ax + By + C > 0 linear inequality2

ra1l [238]

Answer:

1 . An open sentence of the form Ax + By + C < 0 is a linear inequality.

2 . An equation containing more than one variable is a literal equation.

3 . A statement formed by two or more inequalities is a compound inequality.

Step-by-step explanation:

A linear Inequality contains one inequality sign (> or <) sign, In Ax + By + C < 0, Ax + By + C is less than 0.

A literal equation contains more than one variable and equates to a number. An example is Ax + By = 0.

A compound inequality uses OR and AND to join two linear inequalities. When AND is used, it indicates that the values of the variables are true in both inequalities.

6 0

3 years ago

2x²-5x-12=0 (simplify solution set)

Arada [10]

Answer:

x = 4 or x = -3/2

Step-by-step explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

$ax^2+bx+c=0$

Let's find a, b, c:

a is the coefficient of x^2
b is the coefficient of x
c is the constant term

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}$

$x=\frac{5\pm\sqrt{121} }{4}$

$x=4$ or $x=\frac{-3}{2}$

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<u>Answer:</u>

x = 4 or x = -3/2

7 0

2 years ago

Natalie read 14 books last year. Six of the books were nonfiction. The rest were fiction. What is the ratio of nonfiction to fic

Svetach [21]

The answer in simplified form is 3:7. Therefore the answer is B.

4 0

4 years ago

How do dis plz i need hlp cuz i no smart tanks

vovikov84 [41]

h = 6

Work Shown:

4h + 6 = 30
1. 4h + 6 -6 = 30 - 6 ---> 4h = 24
2. 4h /4= 24/4 ---> 6

h = 6

3 0

3 years ago

Read 2 more answers