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3 years ago

Question 13 y-5x= -4

Mathematics

1 answer:

Julli [10]3 years ago

5 0

Which variable are we solving for?

For y:

y= 5x-4/ 13

For x:

x= 13y+4/ 5

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What is 12.55 to the nearest 1 decimal place

yaroslaw [1]

One decimal place means one place after the decimal point, therefore you should round appropriately to get to one place after the decimal point.

The answer would therefore be 12.6 <span />

4 0

3 years ago

Write an equation of the line through the point (5, 3) that is perpendicular to the line –3x+7y=5.

Fed [463]

Answer:

7x + 3y = 44

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Rearrange - 3x + 7y = 5 into this form by adding 3x to both sides

7y = 3x + 5 ( divide all terms by 7 )

y = $\frac{3}{7}$ x + $\frac{5}{7}$ ← in slope- intercept form

with slope m = $\frac{3}{7}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{3}{7} }$ = - $\frac{7}{3}$ , thus

y = - $\frac{7}{3}$ x + c ← is the partial equation

To find c substitute (5, 3) into the partial equation

3 = - $\frac{35}{3}$ + c ⇒ c = 3 + $\frac{35}{3}$ = $\frac{44}{3}$

y = - $\frac{7}{3}$ x + $\frac{44}{3}$ ← in slope- intercept form

Multiply through by 3

3y = - 7x + 44 ( add 7x to both sides )

7x + 3y = 44 ← in standard form

6 0

3 years ago

Read 2 more answers

Svet_ta [14]

M=-4
The number with x is always going to be the slope
Y-intecept=9

8 0

2 years ago

Write an exponential function that passes through the points (0, 3) and (-1, 6)

FinnZ [79.3K]

Standard form of an exponential function is y=ab^x
when x=0, y=3, 3=ab^0, so you can figure out that a=3
when x=-1, y=6, 6=3b^(-1), b^(-1)=2, b=1/2
so the equation is y=3(1/2)^x

3 0

2 years ago

Juanita and Keenan own a camping supply store and just put in an order for flashlights and sleeping bags. The number of flashlig

julsineya [31]

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Step-by-step explanation:

Given,

Cost of each flashlight = $12

Cost of each sleeping bag = $45

Total cost = $1785

Let,

x represent the number of flashlights ordered

y represent the number of sleeping bags ordered

According to given statement;

12x+45y=1785 Eqn 1

x = 5y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$12(5y)+45y=1785\\60y+45y=1785\\105y=1785\\$

Dividing both sides by 105

$\frac{105y}{105}=\frac{1785}{105}\\y=17$

Putting y=17 in Eqn 1

$x=5(17)\\x=85$

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

8 0

3 years ago