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irakobra [83]
3 years ago
13

Find the equation of the line that has a slope of -3 and passes through (4, 4)

Mathematics
1 answer:
sergey [27]3 years ago
7 0
The\ slope-point\ form:y-y_1=m(x-x_1)\\The\ slope-intercept\ form:y=mx+b\\--------------------\\m=-3;\ (4;\ 4)\to x_1=4\ and\ y_1=4\\\\\boxed{y-4=-3(x-4)}\\\\y-4=-3x+12\ \ \ |add\ 4\ to\ both\ sides\\\boxed{y=-3x+16}
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PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined ab
Shalnov [3]

Answer:

△PQR and △RST are not similar.

Step-by-step explanation:

In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

180-34-80=66

In triangle △RST, two known interior angles are 24° and 90°.

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8 0
3 years ago
I really need help with this question ​
SOVA2 [1]

In the matrix, the first row is exactly twice the second. This implies that the determinant is zero.

If the matrix system has determinant zero, the system has either no solutions or infinite solutions.

However, just like in the matrix, in the constant vector the first term is twice the second. This means that the system has infinite solutions.

In fact, if you write this system in expanded form, you can see that it generates two equations, the first being twice the second:

\begin{cases}2x+4y=6\\x+2y=3\end{cases}

4 0
3 years ago
Consider a function <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%281%20-%20x%29%5E2%7D%7B%281%20%2B%20x%29%5E2%
SCORPION-xisa [38]

Answer:

f=

x2−2x+1

x3+2x2+x

Step-by-step explanation:

Let's solve for f.

fx=

(1−x)2

(1+x)2

Step 1: Multiply both sides by x^2+2x+1.

fx3+2fx2+fx=x2−2x+1

Step 2: Factor out variable f.

f(x3+2x2+x)=x2−2x+1

Step 3: Divide both sides by x^3+2x^2+x.

f(x3+2x2+x)

x3+2x2+x

=

x2−2x+1

x3+2x2+x

f=

x2−2x+1

x3+2x2+x

8 0
3 years ago
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