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Yuki888 [10]
3 years ago
8

How do you factor y2+6y+5

Mathematics
2 answers:
Nataly [62]3 years ago
8 0
To factor think of 2 numbers that add to get 6 and times to get 5
=(y+1) (y+5)
Setler [38]3 years ago
3 0
Y² + 6y + 5
y² + y + 5y + 5
(y + 5)(y + 1)
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Look at the graph shown below:
ElenaW [278]
So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 4}})\quad 
%   (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=0\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}

once you get the slope and solve for "y", that'd be the equation of the line.
7 0
3 years ago
Two sides of a triangle are 6 m and 10 m in length and the angle between them is increasing at a rate of 0.06 rad/s. find the ra
Soloha48 [4]
Since this problem talks about rates of change, then the concept of calculus is very useful. But first, let's find at least two equations in order to solve this system. The first one is the area of a triangle written as

A = 1/2 ab sin θ, where a and b are the sides that from the angle θ. So, we substitute a=6 and b=10. That makes it:
A = 1/2 (6)(10)sin θ = 30 sin θ

Now, you differentiate implicitly (both sides simultaneously) with respect to time.

dA/dt = 30 cosθ (dθ/dt)

We replace dθ/dt = 0.06 rad/s, as mentioned in the problem. Then, the rate of change of the area of the triangle when θ = π/3 rad with respect to time is

dA/dt = 30cos(π/3) (0.06)
dA/dt = 1.8  m²/s

Therefore, the rate of change of the area of the triangle is 1.8 m² per second.
8 0
3 years ago
. In real estate, a house's selling price P is found by adding the real estate agent's commission C to the amount A that the sel
IceJOKER [234]
260,000-18,200 = 241,800 i think not posstive

6 0
3 years ago
Twice the difference of x and y divided by 5 times their product.
Charra [1.4K]

Answer: ((x-y)*2)/5xy

Step-by-step explanation:

6 0
3 years ago
A rectangle has a width of 5 meters and a length of 7 meters a similar rectangle has a width of 15 meters what is the length of
JulsSmile [24]
Similar rectangles have or form similar ratios. Hence to solve this, you have to get the ratio of the measurements:
Let N be the length of the similar rectangle
  5/7 = 15/N
5(N) = 7(15) -> cross multiply
  5N = 105
 5N/5 = 105/5 -> divide both sides of the equation by 5
    N = 21
Therefore, 21 meters in the length of the similar rectangle
To check - 
5/7 = 15/21 (cross multiply)
105 = 105

6 0
3 years ago
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