Answer:Use the slope −2 and the point (−4,−5) to find the y-intercept.
y=mx+b
⇒−5=(−2×−4)+b
⇒−5=8+b
⇒b=−13
Write the equation in slope intercept form as:
y=mx+b
⇒y=(−2)x−13
Hence, the equation of the line is y=−2x−13.
Step-by-step explanation:
Please make me brainliest :)
Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function 
.
The new transformed function is 
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes 
.
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes .
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.
Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
Answer:
45÷5=9-2=7 is this the equation took so long but got the right answer
Notice how on both sides of the equation there is one coefficient (number being multiplied by x) and a constant (just a plain number). You want all constants to be on one side and all coefficients on the other. He’s how do to that:
2x+14=-21-5
I am choosing that all constants will be on the right side, so I will do the inverse operation of any constant on the left side to remove it. Here, a constant on the left side is 14. I will subtract 14 from both sides of the equation. Positive 14 minus 14 is zero, so it cancels out and removes it.
2x+14-14 = -21-5x
2x = -35-5x
See how the 14 is now gone? The equation looks much simpler now. Okay next, you can see that there is a coefficient on the “constant side” that I’ve chosen, so I am going to remove that. Negative 5 plus positive 5 equals zero. Do this on both sides of the equation.
2x+5x = -35-5x+5x
7x = -35
Now the equation is just two numbers. All that is left to do is divide by the last coefficient, 7, in this case.
7x/7 = -35/7
x = -5
