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nikitadnepr [17]
3 years ago
11

Simplify this expression completely: -5r-(6r-1)

Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

\text{Hello there!}\\\\\text{Solve:}\\\\-5r-(6r-1)\\\\\text{Distribute the negative to the numbers inside the parenthesis}\\\\-5r-6r+1\\\\\text{Combine like terms}\\\\-11r+1\\\\\boxed{-11r+1}

Yuliya22 [10]3 years ago
5 0

Answer:

-11r+1

Step-by-step explanation:

-5r-(6r-1) - Original Equation

-5r-6r+1 - Distributive Property

-11r+1 -Simplify

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Idk this is supper hard
vlabodo [156]

Answer:

The equation of the line is:  y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form:    $ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}}    }$

where $ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5) $ and

$ (x_2, y_2) = (5, 9) $

Therefore, we have:

$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $

$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $

$ \iff y - 5 = x - 1 $

$ \implies y = x - 1 + 5 $

$ \implies y = \textbf{x + 4} $ which is the required answer.

4 0
3 years ago
Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply. To begin conver
umka21 [38]

Answer:

1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) x^{2} + y^{2} + 4\cdot x - 6\cdot y  - 36 = 0 Given

(ii) x^{2} + 4\cdot x + y^{2} - 6\cdot y - 36 = 0 Commutative Property

(iii) (x^{2} + 4\cdot x + 4) - 4 + (y^{2} - 6\cdot y + 9) - 9 -36 = 0 Modulative/Associative Property/Additive Inverse Existence

(iv) (x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0  Perfect Trinomial Square

(v) (x+2)^{2} +(y-3)^{2} = 4 + 9 + 36 Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

(vi) (x+2)^{2} + (y-3)^{2} = 49 Definition of Addition/Result

False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

(x-h)^{2}+ (y-k)^{2} = r^{2}

Where r is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

5 0
2 years ago
Read 2 more answers
I have 11 points ;-;
bogdanovich [222]

Answer:

OOOPS-

Step-by-step explanation:

i feel kinda bad stealing your points l-mao

8 0
3 years ago
0.006/6,000 is it Much Larger than or close to 1
ANEK [815]

Answer:

Less close to one

Step-by-step explanation:

0.006/6,000= 0,000001

7 0
2 years ago
Someone plz help with this question. I really appreciate it!
kirill115 [55]

8. D: The <em>longest sides of the quadrilaterals are 30 and 10</em>. That is a 30 : 10 ratio, which simplifies to <em>3 : 1, or </em>3/1. It's not 1 : 3 because it is the ratio between the large (comes first) to the small (comes second) figure.

9. B: <em>x corresponds to 26</em>, and from the previous problem, we figured out that <em>the sides of the larger figure are 3 times larger than the corresponding one on the smaller one</em>. So <em>x is 1/3 the length of 26</em>, which is 26/3.

8 0
3 years ago
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