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3 years ago

What is an equation of the line that passes through the point (5,-2)(5,−2) and is parallel to the line 2x-5y=352x−5y=35?

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

Answer:

2x-5y=20.

Step-by-step explanation:

1) according to the condition the required line is parallel to the given line, it means, that the equation of the required line is:

2x-5y=C, where C - unknown number;

2) in order to calculate unknown 'C' it needed to substitute the given coordinates into the equation of the required line, then:

2*5-5*(-2)=C; ⇒ C=20.

3) the required equation of the line is:

2x-5y=20.

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Please help meeeeeeeeeeeee directions: use substitution to solve the solution

dimaraw [331]

Answer:

(-3, 13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -4x + 1

11y = x + 146

Step 2: Solve for x

Substitution

Substitute in y: 11(-4x + 1) = x + 146
Distribute 11: -44x + 11 = x + 146
[Addition Property of Equality] Add 44x on both sides: 11 = 45x + 146
[Subtraction Property of Equality] Subtract 146 on both sides: -135 = 45x
[Division Property of Equality] Divide 45 on both sides: -3 = x
Rewrite/Rearrange: x = -3

Step 3: Solve for y

Define original equation: y = -4x + 1
Substitute in x: y = -4(-3) + 1
Multiply: y = 12 + 1
Add: y = 13

3 0

2 years ago

What coordinate pair satisfies both 5x - 3y=22 and -4x + y=-19

Arlecino [84]

Answer:

hello : coordinate pair is: (5 ; 1)

Step-by-step explanation:

you have this system :

5x - 3y=22 ......(1)

-4x + y= -19.....(2)

by (2) : y = 4x -19

put y in (1) : 5x - 3 (4x -19) =22

5x -12x +57 = 22

- 7x = -35

x = 5

but : y = 4x -19 so : y = 4(5) -19 = 1

coordinate pair is: (5 ; 1)

6 0

3 years ago

What is the solution to the inequality StartFraction d Over 7 EndFraction + 4 ≤ 0? (–[infinity], –28) (–[infinity], –28] (28, [i

sineoko [7]

Answer:

(B) $(-\infty, -28]$

Step-by-step explanation:

Given the inequality: $\frac{d}{7}+4\leq 0$

$\dfrac{d}{7}+4\leq 0\\$Subtract 4 from both sides\\\dfrac{d}{7}+4-4\leq 0-4\\\dfrac{d}{7}\leq -4\\$Multiply both sides by 7\\\dfrac{d}{7}*7\leq -4*7\\d\leq-28$

Therefore, the solution to the inequality is: $(-\infty, -28]$ .

The correct option is B.

3 0

3 years ago

The ratio of boys to girls in a class is 3:4. There are 35 students in the class. How many more girls than boys are there

GaryK [48]

Answer:

Let's say the number of boys is X and the number of girls is Y.

Then we have 35 students in the class, this means X+Y=35

The ratio of boys to girls is 3:4, so if we multiply the number of girls (Y) in the class by 3 and the number of boys (X) by 4 they should be equal 4x=3y

Now we have 2 with 2 variables

Let's multiply the first equation by 4, 4x+4y=140

Now replace the 4x with 3y, 7y=140

So we have 20 girls in the class (y=20) and 15 boys (20+15=35)

The answer is: we have 5 more girls in the class

3 0

3 years ago

Consider the following situation. If a number is added to the numerator of 3/7 and the same number is subtracted from the denomi

liubo4ka [24]

Answer:

In math terms that means:

$\frac{x+3}{x-7}=4$

If we cross multiply we got:

$x+3 = 4x -28$

And solving for x we got:

$28+3=31 = 3x$

$x =\frac{31}{3}= 10.333$

Step-by-step explanation:

For this problem we can set x a the value of interest and we need to do this: If a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4. Let x represent the unknown number.

In math terms that means:

$\frac{x+3}{x-7}=4$

If we cross multiply we got:

$x+3 = 4x -28$

And solving for x we got:

$28+3=31 = 3x$

$x =\frac{31}{3}= 10.333$

7 0

3 years ago