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fiasKO [112]
1 year ago
5

(b) Find the equation of the straight line which passes through 81 +88 (i) the point (3, 2) and makes an intercept on the x-axis

is twice as long as that on the y-axis. (ii) the point (-1, 3) whose intercept on the y-axis is thrice that on x-axis.​
Mathematics
1 answer:
ad-work [718]1 year ago
6 0

3x+y=0 and x+2y=7

i)

a= intercept on x axis

b= intercept on y axis

from the question

a=2b

x/2b+ y/b=1

x+2y=2b

since it passes through the point (3,2)

then 3+4=2b

7/2=b

x+2y=7     putting the value of b

ii) given b =3a

then x/a+ y/ 3a =1

3x+y=3a

it passes through ( -1,3) then

-3+3=3a

a=0

3x+y=0

learn more of straight line here brainly.com/question/22394008

#SPJ9

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Can someone please let me know if these are the correct answers
Lostsunrise [7]

1. x >= 4, because 4 is dotted, and that means that 4 is included

2. x =/ 4, the third answer is correct, because all numbers except 4 are included

3. the first number line is the correct answer, because -3 is not included

4. the second number line is the correct answer, because -1 is included

5. the second number line is the correct answer, because 6 is not included

6. the first number line is the correct answer, because 0 is included

7. the second number line is the correct answer, because all numbers except -4 are included

8. the third number line is the correct answer, because -1,5 is included

When a number is included in an interval, it should have full dot on the number line, so that's how you know.

Hope this helps!

8 0
3 years ago
Which of the following is equal to (3x/5 -7) +7 ?
diamong [38]
3x/5.. because when the bracket opens then the -7 and +7 get cancelled..
3 0
3 years ago
Read 2 more answers
About how much difference in average leaf width would you find in two forests whose average annual rainfalls are near 1500 mm bu
goblinko [34]

Answer:

4.80 mm to 2 d.p

Step-by-step explanation:

w = f(r)

f'(r) = (dw/dr) = (0.0218 mm/mm)

So, for a small difference in rainfall of 220 mm, what is the corresponding small difference in width of leaves in the two forests given.

One definition of a derivative or a rate of change is that it is the ratio of very small differences in the dependent variable to very small differences in the independent variable.

Mathematically,

(dw/dr) = (Δw/Δr) for very small Δw and Δr.

0.0218 = (Δw/220)

Δw = 0.0218 × 220 = 4.796 mm = 4.80 mm to 2 d.p

Hope this Helps!!!

5 0
3 years ago
Someone do this got me rq
skelet666 [1.2K]

Answer:

The last listed functional expression:

\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x

Step-by-step explanation:

It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.

It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains x+1 for the function, for the domain: x\geq 2.

Such definition is the one given last (bottom right) in your answer options.

\left \{ {x+1\,\,\,\,{x\geq 2} \atop {x+2 \,\,\,\,x

7 0
3 years ago
Can you identify these numbers as rational or irrational. Please explain.<br><br> -√127 and 291.87
irina [24]
An irrational number/value is one you cannot express in terms of a ration, or a fraction, it cannot be written as fraction

now 291.87... is simple, two decimals, so you use two zeros at the botom and end up with \bf \cfrac{29187}{100} and boom, there you are, a fraction, nice and dandy

now, let's see the first one -√(127)  well, low and behold, 127 is a prime number, and and thus is has no two factors that'd serve as root, so, there's no rational root that'd give that, that makes it irrational
8 0
3 years ago
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