1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olya-2409 [2.1K]
2 years ago
12

6Type the statement or reason the fits in each box. Write your answer as a list. For example: 1. Addition Property of Equality 2

. X+5=y+5 3. Simplifying Choose from this word bank. - Subtraction Property of Equality - Division Property of Equality - Distributive Property of Equality - x + 1 = -4 - x = -5Immersive Reader (4 Points)
Mathematics
1 answer:
mote1985 [20]2 years ago
5 0

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Given

-x + 1 = -4

-x = -5

Required

State which property is used

The word that describes the operation is; subtraction property of equality.

This property states that:

if x = y then

x - a = y - a

So, for the given  equation:

-x + 1 = -4

When the subtraction property of equality is applied

-x + 1 - 1 = -4 - 1

-x  = -5

So:

<em>(a) Subtraction Property of Equality </em>is correct

You might be interested in
What is the location of the point (5, 0) translates 4 units to the down and reflected across the y-axis?
CaHeK987 [17]

STEP-BY-STEP EXPLANATION:

Given information

The given ordered point = (5, 0)

Step 1: We need to translate the point 4 units down

To translate down means we will be subtracting a value from the y--axis

Hence, we have

\begin{gathered} (x,\text{ y) }\rightarrow\text{ (x, y-b)} \\ \text{where b = 4} \\ (5,\text{ 0) }\rightarrow\text{ (5, 0 - 4)} \\ (5,\text{ 0) }\rightarrow\text{ (5, -4)} \end{gathered}

When translated 4 units down, we got (5, -4)

Step 2: Reflect over the y-axis

The general rule for reflecting over the y-axis is (-x, y)

This means the value of x will be negated and the value of y will remain the same

\begin{gathered} \text{Over the y-ax}is \\ (x,\text{ y) }\rightarrow\text{ (-x, y)} \\ (5,\text{ -4) }\rightarrow\text{ (-5, -4)} \end{gathered}

Step 3: the graph the point

4 0
1 year 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
A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
LuckyWell [14K]

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0
3 years ago
Read 2 more answers
What's the answer I'm confused yeahhhhhhhhhh
Fantom [35]
-3 2/5 - 5/6 = -127/30

-2/3 + 6 1/8 = 107/24

3 0
3 years ago
G(t)=t³+5t²; Find g(-1)​
erik [133]

Answer:

I need points sorry bbh

Step-by-step explanation:

hh

6 0
3 years ago
Other questions:
  • Imena's math test scores are 83, 93, 78, 89, and 83. She has one more math test this semester. What score most she get on the te
    9·2 answers
  • Find the slope between (-3,1) and (-17,2)
    15·1 answer
  • Help please with these problems
    12·2 answers
  • Help please someone I need all answers please
    5·1 answer
  • RATIONAL NUMBER halfway between 3/4 and 7/8
    13·1 answer
  • In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i
    7·2 answers
  • Harold has four classes each school morning each class is an hour long and there is 10 minutes between classes the first class s
    5·1 answer
  • Plzzzzzz help!!!!! ASAP! ( MATH ) FIRST ONE GETS BRAINLIST, A THANK YOU AND POINTS
    15·2 answers
  • A square has a perimeter of 16.4 inches. The<br> area of the square is<br> square inches.
    10·1 answer
  • Which lists all of the x-intercepts of the graphed function?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!