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Tomtit [17]
3 years ago
13

Need help asap please

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

4.77*10^5<7.47*10^5

Step-by-step explanation:

4.77*10^5=477000

7.47*10^5=747000

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for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

  • (3/k)*(- 6) = - 1
  • - 18/k = - 1
  • k = 18

So when k is 18, the lines are perpendicular.

4 0
2 years ago
How many roots does this has?<br>x^2+(2√5x)+2x=-10​<br>find Discriminant
Alexxandr [17]

Given:

The equation is

x^2+(2\sqrt{5})+2x=-10

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

x^2+(2\sqrt{5})x+2x=-10

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

x^2+(2\sqrt{5}+2)x+10=0

Here, a=1, b=(2\sqrt{5}+2), c=10.

Discriminant of the given equation is

D=b^2-4ac

D=(2\sqrt{5}+2)^2-4(1)(10)

D=20+8\sqrt{5}+4-40

D=8\sqrt{5}-16

D\approx 1.89>0

Since discriminant is 8\sqrt{5}-16\approx 1.89, which is greater than 0, therefore, the given equation has two distinct real roots.

3 0
3 years ago
PLEASE HELP ASAP, FIRST PERSON ANSWERS WILL GIVE BRAINLIST WILL GIVE 20 PTS
kakasveta [241]
C is the correct answer because in a title, you always want to capitalize the bigger and more describing words. 
Hope this helped!

6 0
3 years ago
Read 2 more answers
Find the slope from the following table: x 2 3 4 y 4 5 6
Sindrei [870]

Answer:

the slope is 1

Step-by-step explanation:

The linear equation is y=x+2

7 0
3 years ago
Round each number to the nearest 100<br> -976<br> Please answer!!! I need to help my cousin!!!!!
Otrada [13]
Step by step explanation:

-67
4 0
3 years ago
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