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3 years ago

Help will give brainliest if right BTW the last answer choice is D. 1

Mathematics

1 answer:

Papessa [141]3 years ago

4 0

I think maybe it's A. sorry if that's wrong

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What is the common difference for the sequence shown below? (1 point)

Aleksandr [31]

Answer:

a1= 1, a2=2, a3= 3

common difference

d=5-2=3

d=2-(-1)=2+1=3

d= 3

6 0

3 years ago

For the matrices below. Find all (real) eigenvalues. A= [7 9] [0 9]

Jet001 [13]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

$A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right]$

Using formula:

$|A-\lambda \cdot I|= 0\\\\$

$\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\$

$\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\$

8 0

3 years ago

-129 = -48 - n Thank you

Flauer [41]

−129=−48−n

Simplify:

−129=−48+−n

Flip the equation.

−n−48=−129

Add 48 to both sides.

−n−48+48=−129+48

−n=−81

Divide both sides by -1.

−n/−1 = −81/−1

n=81

3 0

2 years ago

Write the equation of the line that passes through (-1, 11) and (3, -5)

Genrish500 [490]

Answer:

y= -4x+7

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line first.

$gradient = \frac{y1 - y2}{x1 - x2}$

Using the above formula,

$m = \frac{11 - ( - 5)}{ - 1 - 3} \\ m = \frac{11 + 5}{ - 4} \\ m = \frac{16}{ - 4} \\ m = - 4$

Susbt. m= -4 into the equation:

y= -4x +c

Subst. a coordinate to find c.

When x=3, y= -5,

-5= -4(3) +c

-5= -12 +c

c= 12 -5

c=7

Thus the equation of the line is y= -4x +7.

8 0

3 years ago

Combining like terms 5h-6-8+7h

olga nikolaevna [1]

It’s 12h-14 because -6 and -8 combine to be -14 and 5h and 7h equal 12h

7 0

3 years ago

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