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3 years ago

How do i solve these using constructions? ty will give brainliest answer

Mathematics

1 answer:

velikii [3]3 years ago

6 0

Answer:

Wish I knew how to answer these questions

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Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).

QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

$\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}$

Using the section formula expressed as

$[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]$

In this case,

$\begin{gathered} m=1 \\ n=2 \end{gathered}$

where

$\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}$

Thus, by substitution, we have

$\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}$

Hence, the y-coordinate of the point P is

$0$

8 0

1 year ago

Does (-24,-12) and (-15,-9) line pass through point (18,2)?

Dmitrij [34]

Find the slope using the formula [ y2-y1/x2-x1 ].

-9-(-12)/-15-(-24)

3/9

1/3

Find the y-intercept using the formula [ y = mx + b ].

y = 1/3x + b

-12 = 1/3(-24) + b

-12 = -8 + b

-4 = b

Use (18, 2) to see if the line passes through it

y = 1/3x - 4

2 = 1/3(18) - 4

2 = 6 - 4

2 = 2 TRUE

Thus, the line does pass through (18, 2).

Best of Luck!

4 0

2 years ago

Read 2 more answers

If you spin the spinner below two times, are the events independent or dependent?

tatuchka [14]

Answer:

A: Independent

Step-by-step explanation:

8 0

3 years ago

Reduce to the simplest form. -9/6 + (-3/5)

creativ13 [48]

Answer:

$-\frac{21}{10}$ or $-2.1$ (they're the same)

Step-by-step explanation:

Simplify: $-\frac{9}{6} + (-\frac{3}{5}) = -\frac{9}{6} - \frac{3}{5}$
Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18
Write the new fractions: $-\frac{45}{30} - \frac{18}{30}$
Subtract: -45/30 - 18/30 = $-\frac{63}{30} = -\frac{21}{10}$

I hope this helps!

5 0

3 years ago

You are wrapping a gift box. You want to tie a ribbon around the box , so that whenever the ribbon intersects an edge of the box

Paha777 [63]

You are wrapping a gift box. The length of ribbon = length + width + height of box.

<u>Solution:</u>

Given, You are wrapping a gift box.

You want to tie a ribbon around the box, so that whenever the ribbon intersects an edge of the box, its distance to the nearest corner is 1/3 the length of the box.

We have to find how long must the ribbon be?

The figure of this problem is attached below

Now, assume we started to tie at one edge, then next we can tie at straight parallel edge, we can continue till our process ends.

Then, total length of the ribbon = length of box + width of box + height of box.

Hence, the length of ribbon = length + width + height of box.

7 0

3 years ago