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Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure. x1 + 2 x 2 = -24
x1 + 7 x 2 = -11
Find the solution to the system of equations.

Answers

Answer 1

Answer:

Step-by-step explanation:

The given equation is expressed as

x1 + 2x2 = -24- - - - - - - - --1

x1 + 7x2 = -11- - - - - - - --2

We would eliminate x1 by subtracting equation 2 from equation 1. It becomes

- 5x2 = - 13

Dividing both sides of the equation by - 5, it becomes

- 5x2/- 5 = - 13/- 5

x2 = 13/5

Substituting x2 = 13/5 into equation 2, it becomes

x1 + 7 × 13/5 = -11

x1 + 91/5 = - 11

x1 = - 11 - 91/5

x1 = - 146/5

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Find 5 consecutive whole numbers if it is known that the sum of the squares of the first 3 numbers is equal to the sum of the squares of the last 2 numbers.

Let f(x) =

7x − 5, x ≤ −5
−x2, x > −5
.
Find
f(−1), f(−5), and f(−6)

Answers

Answer:

Step-by-step explanation:

The expression 63 × 42 is equivalent to which of the following numerical expressions? 18 x 8

B.

(6 x 4) 5

C.

246

D.

216 x 16

please answer

Answers

The required equivalent expression is (216 x 16).

The correct is D.

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as,

6³ x 4²

Now, expand the exponents as

6³

= 6 x 6 x 6

= 216

and, 4² = 4 x 4 = 16

Thus, the required equivalent expression is (216 x 16).

Learn more about expression here:

brainly.com/question/14083225

#SPJ2

Answer:

2646

Step-by-step explanation:

is the correct answer for This question

What is the product of the expressions? Assume y does not equal 0.

Answers

Answer:

The correct answer would be option 4

12x+20

5y3

Hope that helps.Thank you!!!

01) What is the perimeter of shape B?
2) Which shape's perimeter is less? Shape A or shape D.
3) Area of which shape is more?
4) Area of which shapes are equal?
5) Which shape has equal perimeter and area?
TA)
(B)
(c)
(D)

Answers

Answer:

whichshape's permeteris less shape A or D shape.

Answer:

ask google assistaint then if you dont get it go f yourself like u did to me

Step-by-step explanation:

X + y + w = b2x + 3y + z + 5w = 6

z + w = 4

2y + 2z + aw = 1

For what values a, b (constants) is the system:

(a) inconsistent?

(b) consistent w/ a unique sol'n?

(c) consistent w/ infinitely-many sol'ns?

Answers

Answer:

(a) a=6 and b≠ $(11)/(4)$

(b)a≠6

Step-by-step explanation:

writing equation in agumented matrix form

$\begin{bmatrix}1 &1 & 0 &1 &b\n 2 &3 & 1 &5 &6\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}$

now $R_(2) =R_(2)-2* R_(1)$

$\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 2 & 2&a &1\end{bmatrix}$

now $R_(4) =R_(4)-2* R_(2)$

$\begin{bmatrix}1 &1& 0 &1 &b\n 0 &1& 1 &3 &6-2b\n 0& 0 & 1 &1 &4\n 0& 0 & 0 &a-6 &4b-11\end{bmatrix}$

a) now for inconsistent

rank of augamented matrix ≠ rank of matrix

for that a=6 and b≠ $(11)/(4)$

b) for consistent w/ a unique solution

rank of augamented matrix = rank of matrix

a≠6

c) consistent w/ infinitely-many sol'ns

rank of augamented matrix = rank of matrix < no. of variable

for that condition

a=6 and b=[tex]\frac{11}{4}

then rank become 3 which is less than variable which is 4.

A fire ranger stands atop an observation tower 70 feet above the ground and sees a fire in the distance. She measures the angle of depression from where she is to the fire and finds it to be 34° How far away from the base of the tower is the fire?

Answers

Answer:

$103.78\:\mathrm{ft}$

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

$\tan 34^(\circ)=(70)/(x)$ , where $x$ is the distance between the base of the tower and the fire.