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Fudgin [204]
2 years ago
6

Find the point at which the line joining the two points (-3,-5) and (7,5) cuts they y axis

Mathematics
1 answer:
8090 [49]2 years ago
4 0

Answer:

(0,-2)

Step-by-step explanation:

First we find the equation of the line passes through (-3,-5) and (7,5).

The slope of the line is

m=\frac{5-(-5)}{7-(-3)}\\=\frac{10}{10}\\=1

So by the point slope formula the equation of the line is

y-5=1(x-7)\\y=x-7+5\\y=x-2

When x=0 we have y=0-2=-2.

Therefore the line joining the two points cuts the y-axis at (0,-2).

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A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is
MArishka [77]

Answer:

Evening walk is shorter.  

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

\text{Two-thirds}=\frac{2}{3}

\text{Two-thirds}=\frac{2\times2}{3\times2}

\text{Two-thirds}=\frac{4}{6}

\text{Three-sixth}=\frac{3}{6}

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

5 0
3 years ago
At his favorite restaurant, Dylan orders a soda with his dinner. The ice in his drink has a mass of 6 g and a volume of 20 cm3.
frez [133]

Answer:

0.3

Step-by-step explanation

The formula to find density is m/v=p

m=mass

v=volume

p=density

<h3>---------------------------</h3>

All we have to do is plug in 6g and 20cm^3

This will give us 6/20 which simplifies to 3/10

With this you can easily figure out that the decimal for 3/10 is 0.3

So the density of the ice is <u>0.3</u>

<u>Hope this helped!</u>

5 0
2 years ago
When having the same radius and height what fraction of a cylinder have the same volume as one cone?
trasher [3.6K]

Answer:

1/3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius  

h = height

If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100

the capacity of a cone is 1/3 that of a cylinder

4 0
2 years ago
What is the factorization of the expression below?
olchik [2.2K]

Answer: D. (x-6)(x-6)

Step-by-step explanation:

We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:

x^{2}-12x+36  (1)

First term:x^{2}  

Third term:36=6^{2}  

If we factorize this expression we have:

(x-6)(x-6)=x^{2}-6x-6x+36=x^{2}-12x+36

As we can see, the trinomial (1) has two factors:

(x-6) and (x-6)

Therefore, the correct option is D.

8 0
3 years ago
Tori examined the pattern of exponents in the table.
Lynna [10]

Answer:

B,C,E

Step-by-step explantion

plz mark brainliest if correct

7 0
3 years ago
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