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vovangra [49]
3 years ago
6

Find the slope of each line. 6)

Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

(4,7)

Step-by-step explanation:

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Three fractions between 4/5 and 4/6
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:

<u>First Image:</u>

  • 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

<u>Second Image:</u>

  • 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°

<u>Third Image:</u>

  • 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°

<u>Fourth Image:</u>

  • 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°

<u>Fifth Image:</u>

  • 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
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