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2 years ago

Equation of the line that passes through (7,-1) and (-3,-1)

Mathematics

1 answer:

Archy [21]2 years ago

6 0

Answer:

y = - 1

Step-by-step explanation:

Note the y- coordinates of both points are equal, both - 1

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (7, - 1 ) and (- 3, - 1 ) with y- coordinates - 1 , then

y = - 1 ← equation of line

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Systems of linear equations iready quiz

saw5 [17]

Answer:

<h2>One solution.</h2>

Step-by-step explanation:

The given question is

Does the following system have One Solution, No Solution, or Infinite Solutions.

$y = 4x + 8\\y = -5x + 3$

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

$-y = -4x - 8\\y = -5x + 3$

$0=-9x-5\\5=-9x\\x=-\frac{5}{9}$

Then, we use this value to find the other one

$y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}$

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.

7 0

3 years ago

At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of

Mekhanik [1.2K]

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers $p$ and $q$ .

Then to find the ratio $p:q$ , we need to divide p by q and represent it in the simplest form $\frac{a}{b}$ such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

$Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}$

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

$\dfrac{70}{28}$

Now, let us divide the numerator and denominator by 14:

$\dfrac{5}{2}$

So, the ratio is 5 : 2

6 0

2 years ago

Please help! What is the longest side of triangle TUV?

xxMikexx [17]

I say UV is the biggest thanks to my vision lol; and cuz I used a ruler.

7 0

3 years ago

The fraction 7/9 produces a repeating decimal 0.7 A. true B. false

Elis [28]

Answer:

false for 0.7 it would have to be 7/10

Step-by-step explanation:

7 0

3 years ago

Lou has an account with $10,000 which pays 6% interest compounded annually. If to that account, Lou deposits $5,000 at the begin

katovenus [111]

Answer:

Option d. $22154 is the right answer.

Step-by-step explanation:

To solve this question we will use the formula $A=P(1+\frac{r}{n})^{nt}$

In this formula A = amount after time t

P = principal amount

r = rate of interest

n = number of times interest gets compounded in a year

t = time

Now Lou has principal amount on the starting of first year = 10000+5000 = $15000

So for one year $A=15000(1+\frac{\frac{6}{100}}{1})^{1\times1}$

$= 15000(1+.06)^{1}$

$= 15000(1.06)$ = $15900

After one year Lou added $5000 in this amount and we have to calculate the final amount he got

Now principal amount becomes $15900 + $ 5000 = $20900

Then putting the values again in the formula

$A=20900(1+\frac{\frac{6}{100}}{1})^{1\times1}$

$= 20900(1+.06)^{1}$

$= 20900(1.06)=22154$

So the final amount will be $22154.

3 0

3 years ago