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2 years ago

What is the equation of the line AB, if it passes through (-4,0), and is parallel to the line

Mathematics

1 answer:

Karo-lina-s [1.5K]2 years ago

6 0

Rewriting the equation of the given line in slope-intercept form,

$-x-4y=1\\\\-4y=x+1\\\\4y=-x-1\\\\y=-\frac{1}{4}x-\frac{1}{4}$

From this, we know the slope of the given line is -1/4.

Since parallel lines have the same slope, we know the line whose equation we want to find has a slope of -1/4.

Substituting into point-slope form,

$y=-\frac{1}{4}(x+4)\\\\\boxed{y=-\frac{1}{4}x-1}$

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On a coordinate plane, a red curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-ax

maxonik [38]

Answer:

f(0) = g(0)

Step-by-step explanations

if a function h(x) passes through [a,b] then it can be said that h(a)=b.

given that, g(x) passes through (-2,0) and (0,4)

so, g(-2)=0, g(0)=4.

f(x) passes through (0,4) and (2,0)

so, f(2)=0, f(0)=4.

therefore, f(0)=g(0)=4.

so, first option is correct.

7 0

4 years ago

Read 2 more answers

WHERE DO I PLACE THIS

allochka39001 [22]

The absolute value is the value of the number without the sign. So in this case it's 3 and -3

6 0

3 years ago

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PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10

klemol [59]

The complete table will be:

$Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175$

Explanation

Suppose, the number of sit-ups in Sunday is $x$

Mean is the simple average of some numbers. For finding the mean number of sit-ups per day, we need to divide the 'total number of sit-ups' by the 'total number of days'.

Here the total number of days is 7 and the total number of sit-ups for 7 days $= 100+65+120+150+90+0+x= 525+x$

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

$\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175$

So, the number of sit-ups you have to do Sunday is 175.

6 0

3 years ago

Find the value of the variable and YZ if Y is between X and Z. XY= 11, YZ=4c, XZ=83

svet-max [94.6K]

So you know the whole line is XZ which is 83.Then you find out it is in two parts so that is XY and YZ which are 11 and 4c. You can make the equation:

11+4c=83
4c=72
c=18

c=18 and YZ=72

8 0

3 years ago

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Find sales tax and the total cost. Round to merest cent cost: $65 rate of sales tax: 6%

fgiga [73]

Answer:

sales tax = $3.9

total cost = $68.9

Step-by-step explanation:

tax = 65*0.06 = 3.9

total cost = 3.9 + 65 = 68.9

5 0

2 years ago