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Bingel [31]
4 years ago
15

A line passes through the point (-8,9) and has a slope of 5/4.

Mathematics
1 answer:
Masteriza [31]4 years ago
5 0

Answer:

The answer is

<h2>y =  \frac{5}{4} x + 19 \\</h2>

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (-8,9) and slope 5/4

The equation of the line is

y - 9 =  \frac{5}{4} (x + 8) \\  y - 9 =  \frac{5}{4} x + 10 \\ y =  \frac{5}{4} x + 10 + 9

We have the final answer as

y =  \frac{5}{4} x + 19 \\

Hope this helps you

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If the polynomials p(x)=2x³ +bx² +3x-5 and q(x)= x³+x² -4x-b leave the same remainder, when divided by x-2, prove that b = -13/5
Tju [1.3M]

Step-by-step explanation:

Lets first find the remainder when p(x) is divided by x-2

p(2)=2(2)³+b(2)²+3(2)-5

p(2)=16+4b+6-5

p(2)=4b+17

Now let's find the remainder when q(x) is divided by x-2

q(2)=(2)³+(2)²-4(2)-b

q(2)=8+4-8-b

q(2)=4-b

Now let's equate both of them

4b+17=4-b

4b+b=4-17

5b=-13

b=-13/5 as required

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3 years ago
A local college student will be randomly selected to attend a leadership conference in Washington DC there are 2016 local colleg
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Male student: 40/100 = 2/5
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4 years ago
100 students attended a revision lesson at the weekend.
solniwko [45]

Answer:

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3 years ago
Ida is cutting a 11/12 foot wooden board into 3/16 foot sections to do some detail work on a model she is building. How many who
zlopas [31]
You have to give them the same denominator so multiply 11/12 by 4 and 3/16 by 3. giving you 44/48 and 9/48. then divied 44 by 9 giving you 4.8888
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3 0
4 years ago
Read 2 more answers
Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.
lara31 [8.8K]
The answer is 12
{13}^{2}  =  {5}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {13}^{2}  -  {5}^{2}  \\ b {}^{2}  = 169 - 25 = 144
b =  \sqrt{144}  = 12


good luck
8 0
3 years ago
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