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3 years ago

Solve the inequality –8 < x – 14.

Mathematics

2 answers:

Ilya [14]3 years ago

7 0

Answer:

x=6

Step-by-step explanation:

DaniilM [7]3 years ago

5 0

Answer:

Interval Notation:

(6,∞)

Inequality Form:

x>6

there ya go

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| -11|>2 true or false

Lisa [10]

Answer:

Step-by-step explanation:

niet waar -11 is negatief

6 0

3 years ago

Read 2 more answers

A classmate plotted the following points:

irga5000 [103]

Answer:

D(-1,0)

Step-by-step explanation:

Plot points A(-3, 2), B(-1, 4), and C(1, 2) on the coordinate plane (see attached diagram).

Two sides AB and BC are of equal length and are perpendicular, because

$AB=\sqrt{(-3-(-1))^2+(2-4)^2}=\sart{(-2)^2+(-2)^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\BC=\sqrt{(-1-1)^2+(4-2)^2}=\sart{(-2)^2+2^2}=\sqrt{4+4}=2\sqrt{2}\ units\\ \\\text{Slope AB}=\dfrac{4-2}{-1-(-3)}=\dfrac{2}{2}=1\\ \\\text{Slope BC}=\dfrac{2-4}{1-(-1)}=\dfrac{-2}{2}=-1\\ \\\text{Slope AB}\cdot \text{Slope BC}=1\cdot (-1)=-1\Rightarrow \text{lines AB and BC are perpendicular}$

If the quadrilateral ABCD has all sides perpendicular, then ABCD is a square. The diagonals of the square bisects each other. Find the coordinates of the point of intersection of these diagonals. This is the midpoint of segment AC:

$x=\dfrac{-3+1}{2}=-1\\ \\y=\dfrac{2+2}{2}=2$

If point O(-1,2) is the point of intersection of diagonals, then it is the midpoint of the diagonal BD. Find coordinates of point D:

$x_O=\dfrac{x_B+x_D}{2}\Rightarrow -1=\dfrac{-1+x_D}{2},\ -1+x_D=-2,\ x_D=-1\\ \\y_O=\dfrac{y_B+y_D}{2}\Rightarrow 2=\dfrac{4+y_D}{2}, 4+y_D=4,\ y_D=0$

Thus, D(-1,0)

7 0

4 years ago

If a 4-pound roast takes 150 minutes to cook, how long should a five-pound roast take?

Tomtit [17]

It should take 187 minutes.

6 0

4 years ago

If 21 is added to a number the result is 40 less than twice the number what is the number?

Karolina [17]

If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)

x + 21 = 2x - 40 Add 40 to both sides
x + 61 = 2x Subtract x from both sides
61 = x Switch the sides to make it easier to read
x = 61

7 0

3 years ago

Which of the following are solutions to the equation below?<br><br> x^2-2x-24-0

Dominik [7]

Answer:

x=-4

x=6

Step-by-step explanation:

Lets put to work the well known quadratic equation:

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

Let us also, remember the given equation: x^2-2x-24=0

Where 'a' would be equals to 1, 'b' equals to -2 and c equals to -24.

The quadratic equations with those values is:

$\frac{2 +/- \sqrt{4+96} }{2}$

Where we obtain two values.

x1= -4

and x2= 6

4 0

3 years ago