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Rashid [163]
3 years ago
12

Write the standard form of the equation of the line through the given points.

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0
You first have to find the slope using the slope formula.  That looks like this with our values:  \frac{-2-(-1)}{5-(-3)}=- \frac{1}{8}.  So the slope is -1/8.  Use one of the points to first write the equation in y = mx + b form.  We have an x and a y to use from one of the points and we also have the slope we just found.  Filling in accordingly to solve for b gives us -2=5(- \frac{1}{8})+b  and  -2=- \frac{5}{8}+b.  Adding 5/8 to both sides and getting a common denominator gives us that  b=- \frac{11}{8}.  Writing our slope-intercept form we have y=- \frac{1}{8}x- \frac{11}{8}.  Standard form for a line is Ax + By = C...no fractions allowed.  So let's get rid of that 8 by multiplying each term by 8 to get 8y = -x - 11.  Add x to both sides to get it into the correct form:  x + 8y = -11
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Take the first 2 and take out -7x2. bringing it to (-7x2)(x-3)+(3x-9)
then take out 3 on the right side.
-7x^2 (x-3)+3 (x-3)
factors to (3-7x2)(x-3)
4 0
3 years ago
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There were some people on a train 18 people get off at the first stop and 21 people get on the train there are now 65 people on
MissTica

Answer:

62

Step-by-step explanation:

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3 years ago
The perimeter of a triangle is 90 cm. The lengths of the sides of the triangle are in the ratios 3:5:7 Work out the length of th
qwelly [4]

Answer:

9cm 5:9

Step-by-step explanation:

7 0
3 years ago
The density of titanium is 4.51 g/cm^3
forsale [732]

The volume of titanium is 20.86 cubic inches

<em><u>Solution:</u></em>

The volume is given by formula:

volume = \frac{mass}{density}

From given,

Density of titanium = 4.51 g/cm^3

Mass = 3.4 lb

Let us convert the mass to grams

1 pound = 453.592 grams

Therefore, 3.4 pound is equal to:

3.4 \text{ pound } = 3.4 \times 453.592 \text{ grams }\\\\3.4 \text{ pound } = 1542.2128\text{ grams }

Now substitute the values into formula:

volume = \frac{1542.2128}{4.51}\\\\volume = 341.95 cm^3

Let us convert cubic centimeter to cubic inches

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

341.95\ cm^3 =  0.0610237 \times 341.95\ in^3 = 20.86\ in^3

Thus volume of titanium is 20.86 cubic inches

6 0
3 years ago
 Hester sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended war
tiny-mole [99]

Answer:

y =mx +bx

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

1200 = 15*16 +16b

and solving for b we got:

b= \frac{1200-15*16}{16}= 60

And then we can conclude that she earns 60 for each TV

Step-by-step explanation:

For this case we can set a linear model like this:

y =mx +bx

Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs

For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:

1200 = 15*16 +16b

and solving for b we got:

b= \frac{1200-15*16}{16}= 60

And then we can conclude that she earns 60 for each TV

8 0
3 years ago
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