All categories

3 years ago

Find the slope of 8x+2y=96

Mathematics

1 answer:

astra-53 [7]3 years ago

8 0

Answer:

-4

Step-by-step explanation:

8x+2y=96

2y=96-8x

y=96-4x

You might be interested in

Find c. Round to the nearest tenth.

mixer [17]

Answer:

Here,

150+10=180

162-180=18

Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

3 0

3 years ago

All vectors are in Rn. Check the true statements below:

Oduvanchick [21]

Answer:

A), B) and D) are true

Step-by-step explanation:

A) We can prove it as follows:

$Proy_{cv}y=\frac{(y\cdot cv)}{||cv||^2}cv=\frac{c(y\cdot v)}{c^2||v||^2}cv=\frac{(y\cdot v)}{||v||^2}v=Proy_{v}y$

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that $||Ax||=\sqrt{(A_1 x)^2+\cdots (A_n x)^2}$ . Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then $||Ax||=\sqrt{(x_1)^2+\cdots (x_n)^2}=||x||$ .

C) Consider $S=\{(0,2),(2,0)\}\subseteq \mathbb{R}^2$ . This set is orthogonal because $(0,2)\cdot(2,0)=0(2)+2(0)=0$ , but S is not orthonormal because the norm of (0,2) is 2≠1.

D) Let A be an orthogonal matrix in $\mathbb{R}^n$ . Then the columns of A form an orthonormal set. We have that $A^{-1}=A^t$ . To see this, note than the component $b_{ij}$ of the product $A^t A$ is the dot product of the i-th row of $A^t$ and the jth row of $A$ . But the i-th row of $A^t$ is equal to the i-th column of $A$ . If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then $A^t A=I$

E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.

In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set $\{u_1,u_2\cdots u_p\}$ and suppose that there are coefficients a_i such that $a_1u_1+a_2u_2\cdots a_nu_n=0$ . For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then $a_i||u_i||=0$ then $a_i=0$ .

5 0

3 years ago

Jillian has $50.45 to spend on hamburgers and drinks. Hamburgers are $2.25 each. What is the LARGEST number she can buy and stil

Alexus [3.1K]

Your answer is C

Hope this helps :D

5 0

3 years ago

Read 2 more answers

What is the slope-intercept equation of the line below?

Andru [333]

Answer:

y= -3x+4

I hope this helps <3 have an amazing and wonderful day <3

Step-by-step explanation:

3 0

3 years ago

What is the surface area of this right triangular prism ? round your answer to the nearest tenth.

velikii [3]

Answer:

78 m^2 Unless I got some of the measurements wrong, kinda hard to see them.

Step-by-step explanation:

The surface area will be the sum of the area of each face. so lets see, there is the base (in this orientation) which is a 8x3 rectangle it looks like.

then two trianglular sides with both having a base of 8 and height of 3

then two "roof" pieceswhich are rectangles again, one side of 3 and the other 5.

Now we add each face up.

rectangular base = 3x8 = 24

2 triangular sides = 2(.5*8*3) = 24

2 rectangular roof pieces = 2(5*3) = 30

Now add it all up

24+24+30 = 78

5 0

3 years ago

Read 2 more answers