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ipn [44]
2 years ago
6

you have a table that shows a linear relationship, when can you read the value for b,in y = mx + rectly from the table without d

rawing a graph or doing any calculations? Complete the explanati there is a point ( (select) vy) in the table, then y = b because at the y-Intercept the value of x select) (select) 0 y

Mathematics
1 answer:
Rus_ich [418]2 years ago
5 0

y=mx+b

Where:

m= slope

b= y-intercept

b= has coordinate points (0,y) where the line crosses the y-axis.

So:

If there is a point (0,y) in the table y=b because at the y-intercept the value of x is 0.

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What is the value of the expression 4 2/5(-2.5)​
Jlenok [28]

Answer:

-0.64

Step-by-step explanation:

Given:

4[2/5(-2.5)]

Find:

Value

Computation:

⇒ 4[2/5(-2.5)]

⇒ 8 / [-12.5]​

⇒ -0.64

7 0
3 years ago
Find x (PLS HURRY ITS URGENT) ​
skelet666 [1.2K]

Answer:

<h2>         x = 85° </h2>

Step-by-step explanation:

m∠ADC = 180° - 95°             {a straight angle}

m∠ABC =  180° - x             {a straight angle}

m∠ADC + m∠ABC = 180°     {a quadrilateral inscribed in a circle}

180 - 95° + 180 - x = 180°

     85° - x = 0

        <u>x = 85° </u>

6 0
3 years ago
P and q are complex numbers such that |p|=2/5x+1 , |q|=x+1 , and |p+q|=3x+2 .
IrinaVladis [17]

Answer:

Step-by-step explanation:

Given that,

|P| = 2x / 5 + 1

|Q| = x + 1

|P+Q| = 3x + 2

We know that, from Cauchy inequalities

|P| + |Q| > |P+Q|

(2x / 5) + 1 + x + 1 > 3x + 2

(2x / 5) + 2 + x > 3x + 2

Multiply through by 5

2x + 10 + 5x > 15x + 10

Collect like terms

2x + 5x - 15x > 10 -10

-8x > 0

Then,

Divide both side by -8, since we are dividing with a negative number the inequality sign will change

Then,

x < 0 first condition

Note that,

|P| > 0

Then,

2x / 5 + 1 > 0

2x / 5 > -1

2x > -5

x > -5/2

Also,

|Q| > 0

x + 1 > 0

x > -1

Also

|P+Q| > 0

3x + 2 > 0

3x > -2

x > -2 / 3

So, comparing the four conditions

We see that x ranges from -5/2 to 0, this range covers all the other ranges

(-5/2, 0)

The first answer is correct

7 0
3 years ago
Which of the following expressions can be used to complete the equation below Secx / 1+cot^2x=
svlad2 [7]

Answer: D) Tan x sin x

<u>Step-by-step explanation:</u>

\dfrac{sec}{1+cot^2}\\\\\\=\dfrac{1}{cos}\cdot \dfrac{1}{1+cot^2}\\\\\\=\dfrac{1}{cos}\cdot \dfrac{1}{1+(\frac{cos}{sin})^2}\\\\\\=\dfrac{1}{cos}\cdot \dfrac{1}{(\frac{sin^2}{sin^2})+(\frac{cos^2}{sin^2})}\\\\\\=\dfrac{1}{cos}\cdot \dfrac{sin^2}{sin^2+cos^2}\\\\\\=\dfrac{1}{cos}\cdot \dfrac{sin^2}{1}\\\\\\=\dfrac{sin\cdot sin}{cos\cdot 1}\\\\\\=\boxed{tan\cdot sin}

3 0
4 years ago
If an object has an acceleration of 7 m/s, and a mass of 3 kg, what is its force?
Anuta_ua [19.1K]

Answer:

force = 21 kg m/s^2 = 21 N

Step-by-step explanation:

If an object has mass (m)  3 kg, and its acceleration (a) is 7 m/s^2, its force is given by Newton's second law of motion: Force = M * a

Force = 3 kg * 7 m/s^2= 21 kg * m/s^2

This combinations of units (kg * m/s^2) is defined as Newtons in physics and abbreviated "N".

So we can say that the force on this object is of magnitude 21 N

7 0
3 years ago
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