Which equation represents a line that has a slope of One-third and passes through point (–2, 1)?

Answer:

Step-by-step explanation:

-1292 + (-2508)

= - 3800

Answer: Choice A

m = undefined

point (-2,5)

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Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

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All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

Answer: 253

Step-by-step explanation:

First, we have two numbers A and B.

We know that all numbers can be written as a product of prime numbers.

And the HCF of A and B is 23

Then we can write:

A = 23*a

B = 23*b

(remember that 23 is a prime number)

Where a and b are larger than 1.

Now we know that the least common multiple between them is 644.

Notice that the primes that conform a can not be the same as the ones for b, because in that case, the HCF would not be 23.

Now to find a and b we can compute:

644/23 = 28.

28 = a*b

Now let's write 28 as a product of prime numbers:

a*b = 28 = 4*7 = 2*2*7

Then we can define:

a = 2*2

b = 7.

Our two numbers are:

A = 23*2*2 = 92

B = 23*7 = 161

A + B = 92 + 161 = 253

The sum of the two numbers would be:

253

Assume the two numbers be [tex]x[/tex] and [tex]y[/tex]

Given that,

HCF of [tex]x[/tex] and [tex]y[/tex] = 23

so,

The numbers could be written as:

23[tex]x[/tex] and 23[tex]y[/tex]

We know that,

LCM of 23[tex]x[/tex] and 23[tex]y[/tex] = 644

We also know that,

LCM × HCF = The product of two numbers

∵ 644 × 23 = 23[tex]x[/tex] × 23[tex]y[/tex]

So, by solving them we get;

14812/529 = [tex]x[/tex] × [tex]y[/tex]

∵ [tex]x[/tex] × [tex]y[/tex] = 28

If we prime factorize 28, we get

28 = 2 × 2 × 7

This gives us,

[tex]x =[/tex]23 × 2 × 2 = 92

[tex]y =[/tex] 23 × 7 = 161

Thus, the sum of the two numbers = 92 + 161 = 253

Learn more about "HCF" here:

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Answer:

x • 3x = 74

Step-by-step explanation:

Answer:

its D ;D

Step-by-step explanation:

Answer:

  29°

Step-by-step explanation:

Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...

  x + 2x + (2x+35) = 180

  5x +35 = 180 . . . . collect terms

  x +7 = 36 . . . . . . . divide by 5

  x = 29 . . . . . . . . . . subtract 7

The first angle is 29°.

Using the given definition, for [tex]f(x)=\frac1{\sqrt x}+x[/tex], we have

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\left(\frac1{\sqrt{x+h}}+x+h\right)-\left(\frac1{\sqrt x}+x\right)}h[/tex]

Right away, we see x and -x in the numerator, so we can drop those terms.

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}+h-\frac1{\sqrt x}}h[/tex]

Remember that limits distribute over sums, i.e.

[tex]\displaystyle\lim_{x\to c}(f(x)+g(x))=\lim_{x\to c}f(x)+\lim_{x\to c}g(x)[/tex]

so we can separate the h from everything else in the numerator:

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+\lim_{h\to0}\frac hh[/tex]

Since h ≠ 0, we have [tex]\frac hh=1[/tex], so the second limit is simply 1.

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+1[/tex]

For the remaining limit, focus on the numerator for now. Combine the fractions in the numerator:

[tex]\dfrac1{\sqrt{x+h}}-\dfrac1{\sqrt x}=\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}[/tex]

Recall the difference of squares identity,

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Let [tex]a=\sqrt x[/tex] and [tex]b=\sqrt{x+h}[/tex]. Multiply the numerator and denominator by [tex](a+b)[/tex], so that the numerator can be condensed using the identity above.

[tex]\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}\cdot\dfrac{\sqrt x+\sqrt{x+h}}{\sqrt x+\sqrt{x+h}}[/tex]

[tex]=\dfrac{(\sqrt x)^2-(\sqrt{x+h})^2}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

[tex]=\dfrac{x-(x+h)}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

[tex]=-\dfrac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

Back to the limit: all this rewriting tells us that

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{-\frac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}}h+1[/tex]

Again, the h's cancel, and we can pull out the factor of -1 from the numerator and simplify the fraction:

[tex]f'(x)=\displaystyle-\lim_{h\to0}\frac1{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}+1[/tex]

The remaining expression is continuous at h = 0, so we can evaluate the limit by substituting directly:

[tex]f'(x)=-\dfrac1{\sqrt x\sqrt{x+0}(\sqrt x+\sqrt{x+0})}+1[/tex]

[tex]f'(x)=-\dfrac1{2x\sqrt x}+1[/tex]

or, if we write [tex]\sqrt x=x^{1/2}[/tex], we get

[tex]f'(x)=-\dfrac12x^{-3/2}+1[/tex]

Answer:

1.3027

Step-by-step explanation:

Answer:

k< -16

Step-by-step explanation:

Answer:

[tex]\frac{1265}{36}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

5-5=?

?=5-5

?=0

PLS RATE BRAINIEST!

Answer:

8.550

Step-by-step explanation:

Answer:

256fraction=1/4

256÷4=64

64 answer this fraction

Hope that this model helps!!

Answer:

11370  sachet

Step-by-step explanation:

Answer:

11370 sachets

Step-by-step explanation:

Given parameters:

 Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L

Unknown:

Number of sachet of pure water needed to fill a barrel of 5685liters + /

Solution;

To find the number of sachet;

  500 x 10⁻³L will fill one sachet of pure water;

For 5685 liters, we would require  y sachet of pure water ;

    500 x 10⁻³y  = 5685

         0.5y = 5685

               y = [tex]\frac{5685}{0.5}[/tex]  = 11370 sachets

Answer:

x=54

Step-by-step explanation:

these two angles are supplementary to each other. this is because alternate interior angles are congruent, and 2x+42 degrees is supplementary to the alternate interior angle of x-24 degrees. so, we can add these two numbers up and set it equal to 180.

2x+42+x-24=180

3x+18=180

3x=162

x=54

if this question is asking for x, 54 is the answer. if it is asking for the angle measures, plug in 54 for x for each angle and solve.

Answer:

I am doing great!

Step-by-step explanation:

Answer:

hello im doing good

Step-by-step explanation:

Answer:

x= 12

Step-by-step explanation:

I got it right on edge

Answer:

1024

Step-by-step explanation:

4⁵ is 4 multiplied 5 times.

4⁵ = 4 · 4 · 4 · 4 · 4

16 · 4 · 4 · 4

64 · 4 · 4

256 · 4

1024

Answer:

percentage formula

Step-by-step explanation:

if it is 68% on 97.65 dollar the 97.68x 68%/100

Answer:

They will make 1 triangle the lines will keep going until they meet

From the given triangle only one triangle can be made.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the unformed triangle is given in the image.

The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.

To know more about geometry follow

https://brainly.com/question/29285656

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If you need the answer in fraction form, then it would be 77/5

This is equivalent to the mixed number 15 & 2/5

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Work Shown:

y = k*x ..... general direct proportion equation

44 = k*240 .... plug in x = 240 and y = 44

240k = 44

k = 44/240

k = 11/60 .... divide both parts by 4

y = k*x   .... go back to the general form

y = (11/60)x .... plug in the k value we found earlier

y = (11/60)*84 .... plug in x = 84

y = 15.4

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Extra info:

15.4 = 15 + 0.4

15.4 = 15 + 4/10

15.4 = 15 + 2/5

15.4 = 15 & 2/5 .... mixed number form

and

15.4 = 15 + 2/5

15.4 = 75/5 + 2/5

15.4 = (75+2)/5

15.4 = 77/5 ... improper fraction

Answer:

300

Step-by-step explanation:

24000/80

Answer:

300

Step-by-step explanation:

you have to sell $24000 worth of tickets and each is $80, so you do 24000/80 which you get 300 so you have to sell 300 more to meet its goal. since one ticket is 80 dollars then you divide 24000 with 80 so you get how many more tickets need to be sold. If you check your answer 300 tickets and each is $80 you do 300x80 which gives you $24000.

the answer is B -- no matter the x factor y should be single

Answer:

The Cashier

Step-by-step explanation:

First you take off $2.00 of every $18.95 of the game and you get $16.95 you add 16.95 three times and after that you add 11.50 twice and then the sum of both the earbuds and the video games and you add both together and you get $73.85

Answer:

Step-by-step explanation:

Hope it helps