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3 years ago

What is the slope-intercept equation of the line through the points (-7,2) (-2,1)

Mathematics

1 answer:

klasskru [66]3 years ago

6 0

The answer is -1/5. If you use slope intercept formula of (-7,2) and (-2,1) you get -1/5

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What would the variables for a and b be? 3/x + 5/x^2 = (ax+b)/x^2

allsm [11]

Answer:

a=3,b=5

Step-by-step explanation:

$\frac{3}{x} + \frac{5}{ {x}^{2} } \\ = \frac{3x}{ {x}^{2} } + \frac{5}{ {x}^{2} } \\ = \frac{3x + 5}{ {x}^{2} }$

so as you got it:

$\frac{(ax + b)}{ {x}^{2} } = \frac{3x + 5}{ {x}^{2} } \\ a = 3 \\ b = 5$

4 0

3 years ago

a stack of 4 books weigh 5.2 pounds if each book weighs the same amount then how much does each book weigh

statuscvo [17]

Answer:

1.3 pounds

Step-by-step explanation:

8 0

3 years ago

Suma dintre dublul primului numar si triplul celui de-al doilea numar este 117.Primul numar este de trei ori mai mare decat al d

nydimaria [60]

2a+3b=117
a=3b
6b+3b=117==> b=13 ==> a=39

6 0

3 years ago

diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers & the steps to get the answers. pls don

Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

$m\angle XYZ=90^{\circ}$

This gives

$m\angle YXZ\text{ + m}\angle YZX\text{ = 90}$

But

$\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}$

Substituting values we get

$\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}$

hence, x =12

3 0

1 year ago

Simplify 2a^2b^3(4a^2+3ab^2-ab)

-BARSIC- [3]

2a^2b^3(4a^2+3ab^2-ab)=?

is what I presume you actually meant. 

Pull out the common factors of (4a^2+3ab^2-ab) and you will get 

a(4a+3b^2 -b) 

Substitute this back into the original equation and you get

2a^2b^3[a(4a+3b^2-b)] = 
2a^3b^3(4a+3b^2-b) =
2a^3b^3(4a-b+3b^2)

3 0

3 years ago