All categories

3 years ago

Solve through substitution –3x–8y=20 y=5x+19 Point of intersection, please

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

Answer:

(-4, -1)

Step-by-step explanation:

-3x - 8y = 20; y = 5x + 19

y = 5x + 19; -3x - 8y = 20

y = 5x + 19

-3x - 8y = 20

-3x - 8(5x + 19) = 20

-43x - 152 = 20

-43x - 152 + 152 = 20 + 152

-43x = 172

-43x / -43 = 172 / -43

x = -4

y = 5x + 19

y = (5)(-4) + 19

y = -1

You might be interested in

In Jan's library, she has 24 informational books. If 15% of the books are informational text, how many total books are in her li

tatyana61 [14]

Answer:

160 books

Step-by-step explanation:

To find the total amount of something, when given the percent and how much value the percent is, use this

$Total = \frac{Number*100}{Percent}$

This way we get:

$Total = \frac{24*100}{15} = \frac{2400}{15} = 160$

Hope this answer helped! :)

6 0

2 years ago

How to find the limit of that question

jeka94

Factor the numerator using difference of cubes:
$a^3 - b^3 = (a-b)(a^2 +ab+b^2)$
a = x
b = 2

$\frac{x^3 - 8}{x-2} = \frac{(x-2)(x^2 +2x+4)}{x-2} = x^2 +2x+4$

Now you can evaluate limit as x=2.
$\lim_{x \to 2} (x^2 +2x+4) = 2^2 +2(2)+4 = 12$

5 0

3 years ago

Question: Find The Sum Of The Integers From -6 To 58 Of Ss. O 1,500 O 1,734 O 1,690 O 1,621

REY [17]

Answer:

The Sum Of The Integers From -6 To 58 is 1690.

Step-by-step explanation:

Given,

$a=-6$

$T_n=58$

We have to find out the sum of integers from -6 To 58.

Firstly we will find out the total number of terms that is 'n'.

Here $a_1=-6\ and\ a_2=-5$

$\therefore d=a_2-a_1=-5-(-6)=-5+6=1$

Now we use the formula of A.P.

$T_n=a+(n-1)d$

On substituting the values, we get;

$58=-6+(n-1)1\\\\n-1=58+6\\\\n-1=64\\\\n=64+1=65$

So there are 65 terms in between -6 To 58.

That means we have to find the sum of 65 terms in between -6 To 58.

Now we use the formula of Sum of n_terms.

$S_n=\frac{n}{2}(2a-(n-1)d)$

On substituting the values, we get;

$S_{65}=\frac{65}{2}(2\times-6+(65-1)1)\\\\S_{65}=\frac{65}{2}(-12+64)\\\\S_{65}=\frac{65}{2}\times52\\\\S_{65}=65\times26=1690$

Hence The Sum Of The Integers From -6 To 58 is 1690.

5 0

3 years ago

Use the distributive property to rewrite the algebraic expression. 3(x + 7)

Oksana_A [137]

The answer is: 3x+21

8 0

3 years ago

PLEASE HELP URGENT!! DONT LINK FILES!!! HELP!!

Tomtit [17]

Answer:

Base = 8

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

The values of the area and the height are given in order to find the length.

A= 52 in^2

Height= 13

First we have to find the base or the length. Using the values above we can set up the equation as:

1. 52= (0.5)(13)(b)

2. 52/0.5(13)

3. b=8

Answer: The length of the guitar or the base would be 8 inches.

I hope this helps and for future problems regarding this topic use the formula above!!

Formula: 0.5 x Base x Height

4 0

2 years ago