Find the slope of each line. 6)

Ilya [14]

4/5=24/30 and 4/6=20/30 So three easy fractions between these are 21/30=7/10, 22/30=11/15 and 23/30.

5 0

3 years ago

A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in one year?

Elenna [48]

Answer:

$125 you will end up w/ $5125

Step-by-step explanation:

3 0

2 years ago

What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

timama [110]

Given:

The point $P\left(\dfrac{3}{4},\dfrac{5}{12}\right)$ divides the line segment joining points $A\left(\dfrac{1}{2},\dfrac{3}{2}\right)$ and $B(2,-5)$ .

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Let point P divides the segment AB in m:n. Then by using the section formula, we get

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)$

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)$

On comparing both sides, we get

$\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}$

$\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}$

Multiply both sides by 4.

$3(m+n)=2(4m+n)$

$3m+3n=8m+2n$

$3n-2n=8m-3m$

$n=5m$

It can be written as

$\dfrac{1}{5}=\dfrac{m}{n}$

$1:5=m:n$

Therefore, the point P divides the line segment AB in 1:5.

6 0

3 years ago

The square of a number is 12 less than 7 times the number

Maru [420]

Im pretty sure its -9.

6 0

3 years ago

Read 2 more answers

Please answer all 5 xoxo <3

romanna [79]

Answer:

First Image: Option D

Second Image: Option D

Third Image: Option C

Fourth Image: Option B

Fifth Image: Option B

Step-by-step explanation:

First Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 47 = 133°
? is an obtuse angle is any angle greater than 90° which checks the answer

Second Image:

A triangle angles adds up to 180°
Two angles are already given
72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
? is an acute angle is an angle that measures between 90° and 0°

Third Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 110 = 70°
? is an acute angle is an angle that measures between 90° and 0°

Fourth Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 120 = 60°
we are shown a right angle which = 90°
A triangle adds up to 180°
180 - 90 - 60 = 30
? = 30°
? is an acute angle is an angle that measures between 90° and 0°

Fifth Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 85 = 95°
? is an obtuse angle is any angle greater than 90° which checks the answer

Learn more about Triangles here: brainly.com/question/4186813

5 0

2 years ago