MATHEMATICS HIGH SCHOOL

X+1=3 x-4=5 solve by equation method

Answers

Answer 1

Answer:

Answer:

X+1=3

x = 3 - 1

x = 2

Check:

2 + 1 = 3

x-4=5

x = 5 + 4

x = 9

Check:

9 - 4 = 5

Answer 2

Answer:

1)x=2

2)x=9

Step-by-step explanation:

x+1=3

=>x=3-1

therefore

x=2

second question

x-4=5

=>x=5+4

therefore

x=9

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One year the attendance at the SuperBowl was 79,401 the following year, the attendance was 89,916 .Use words to explain the relationship between the digit 9 in 79,401 and the digit 9 in 85,916.

Answers

The 9 in 79,401 is in the thousands place and the 9 in 85,916 is in the hundreds place

The 9 in the 79 401 is in the thousand digit place value while the 9 in the 85 916 is in the hundred digit place value.

AA, BBB, and CCC are collinear, and BBB is between AAA and CCC. The ratio of ABABA, B to BCBCB, C is 1:21:21, colon, 2. If AAA is at (7,-1)(7,−1)left parenthesis, 7, comma, minus, 1, right parenthesis and BBB is at (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis, what are the coordinates of point CCC?

Answers

Answer:

The coordinates of point C are (-8,5).

Step-by-step explanation:

It is given that A, B and C collinear and B is between A and C.

The ratio of AB to BC is 1:2. It means Point divided the line segments AC in 1:2.

Section formula:

$((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))$

The given points are A(7,-1) and B(2,1).

Let the coordinates of C are (a,b).

Using section formula the coordinates of B are

$B=(((1)(a)+(2)(7))/(1+2),((1)(b)+(2)(-1))/(1+2))$

$B=((a+14)/(3),(b-2)/(3))$

We know that point B(2,1).

$(2,1)=((a+14)/(3),(b-2)/(3))$

On comparing both sides we get

$2=(a+14)/(3)$

$6=a+14$

$6-14=a$

$-8=a$

The value of a is -8.

$1=(b-2)/(3)$

$3=b-2$

$3+2=b$

$5=b$

The value of b is 5.

Therefore, the coordinates of point C are (-8,5).

The coordinates of the pointC such that pointsA and B are (7, -1) and (2, 1) and the ratioAB to BC is 1 : 2 is (-8, 5).

How to determine the location of a point within a line segment

According to the Euclidean geometry, a line is formed by two points on a plane and three points are collinear if all the three points go through a single line.

By definitions of vector and ratio we derive an expression to determine the coordinates of the point B:

$\overrightarrow{AB} = (1)/(1+2)\cdot \overrightarrow{AC}$

$\vec B - \vec A = (1)/(3)\cdot \vec C -(1)/(3)\cdot \vec A$

$(1)/(3)\cdot \vec C = \vec B - (2)/(3)\cdot \vec A$

$\vec C = 3 \cdot \vec B - 2\cdot \vec A$

If we know that A(x,y) = (7, -1) and B(x,y) = (2, 1), then the coordinates of point C is:

C(x, y) = 3 · (2, 1) - 2 · (7, -1)

C(x, y) = (6, 3) + (- 14, 2)

C(x,y) = (- 8, 5)

The coordinates of the pointC such that pointsA and B are (7, -1) and (2, 1) and the ratioAB to BC is 1 : 2 is (-8, 5).

Remark

The statement is poorly formatted and reports mistakes. Correct form is shown below:

A, B and C are collinear and B is between A and C. The ratio of AB to BC is 1 : 2. If A is A(x, y) = (7, -1) and B(x, y) = (2, 1), what are the coordinates of point C?

To learn more on line segments, we kindly invite to check this verified question: brainly.com/question/25727583

PLEASE HELPCompare -3 and 9. Which of the following is true
A. -3 < 9 and -3 < 9

B. -3 = 9 and -3 < 9

C. -3 > 9 and -3 < 9

D. -3 > 9 and -3 > 9

Answers

Answer:

Step-by-step explanation:

Because A option has two correct pairs like 9 is bigger than -3 the two options are same

Which of the following is not a layer of the Earth? a Inner core b Other core c Mantle d Crust

Answers

Answer:

all of them are the layer of earth

Step-by-step explanation:

if it is about spelling its b, because there is no "other core" instead there is outer core

Other core is not one, if you mean outer core then all of them are layers

Emma says the GCF of 16 and 12 is 48. Her friend Grace says the answer is 4. Who is right?

Answers

Grace is right because what Emma said was not a factor of 16 and 12.

Which diagram represents the factors of m2 – 10m + 16 ?

Answers

Answer:

Last Table

Step-by-step explanation:

We are given a equation

m²-10m+16

We have to find which diagram represents the factor of m²-10m+16

we will use splitting the middle term method:

m²-10m+16 can also be written as

m²-8m-2m+16

= m(m-8)-2(m-8)

=(m-2)(m-8)

so, Last Table represents the factors of m²-10m+16

The last table is the correct choice. Because when you use the X method on the equation your answers from that is (m-8)(m-2).

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