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2 years ago

What is 6/-9 simplified?

Mathematics

2 answers:

disa [49]2 years ago

8 0

Answer:

-2/3

Step-by-step explanation:

julia-pushkina [17]2 years ago

7 0

Answer:

Reduce by cancelling common factors.

The simplified expression of this problem is -2/3

$-\frac{2}{3}(-0.6)$

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If the domain of the square root function f(x) is x<7, which statement must be true?

Delicious77 [7]

Answer:

The x-term inside the radical has a negative coefficient

Step-by-step explanation:

The argument of a square root should be ALWAYS greater or equal to zero. If the domain of the function is x<7, rearranging, we have: 0<x-7

Therefore the argument is: x-7, and the function is: y = √(x-7)

The statement "The x-term inside the radical has a negative coefficient" is the right answer.

5 0

3 years ago

Write an equation that represents three less than eight times a number is 17.

Alex73 [517]

Answer:

8x-3=17

Step-by-step explanation:

The term “less than” indicates that the 8x comes first in the equation because you’re taking 3 away from it

3 0

3 years ago

The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length

sveta [45]

Answer:

20 units

Step-by-step explanation:

Let the length be x. According to the question,

Length = x
Width = 15% of the length

➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

We have the perimeter of the rectangle that is 46 units.

$\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23 \times 20 = 23x} \\$

$\longrightarrow \sf {460= 23x} \\$

$\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\$

$\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\$

Therefore, length of the rectangle is 20 units.

5 0

3 years ago

If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what

Lisa [10]

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
=\cfrac{y}{r}
=\cfrac{1}{csc(\theta)}
\\ \quad \\\\
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}
=\cfrac{x}{r}
=\cfrac{1}{sec(\theta)}
\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
=\cfrac{y}{x}
=\cfrac{sin(\theta)}{cos(\theta)}$

$\bf cot(\theta)=\cfrac{adjacent}{opposite}
=\cfrac{x}{y}
=\cfrac{cos(\theta)}{sin(\theta)}
\\ \quad \\\\
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
=\cfrac{r}{y}
=\cfrac{1}{sin(\theta)}
\\ \quad \\\\
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}
=\cfrac{r}{x}
=\cfrac{1}{cos(\theta)}\\\\
-------------------------------\\\\
P(x,y)\implies \delta\qquad tan(\delta)=\cfrac{y}{x}$

5 0

3 years ago

Justin lives 4 3/5 miles from his grandmother's house. what fraction grater than one can you write for 4 3/5

hram777 [196]

23/5 miles from his grandmother's house

6 0

3 years ago