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shepuryov [24]
2 years ago
5

which qaudratic equation is equivalent to (x+2)^2+5(x+2)-6=0 a. (u+2)^2+5(u+2)-6=0 where u=(x-2) b. u^2+4+5u-6=0 where u= (x-2)

c. u^2+5u-6=0 where u=(x+2) d. u^2+u-6=0 where u=(x+2)​
Mathematics
1 answer:
Lisa [10]2 years ago
5 0

Answer:

D

Step-by-step explanation:

Given

(x + 2)² + 5(x + 2) - 6 = 0

Using the substitution u = x + 2 , then the equation can be expressed as

u² + 5u - 6 = 0 → D

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Can someone solve this?
insens350 [35]

Answer:

<h3>            Jake is 13 years old</h3>

Step-by-step explanation:

D      - age of Dani

J = D+2    - age of Jake

E = 2J = 2(D+2) = 2D+4    - age od Ethan

Z = 2E = 2(2D+4) = 4D+8    - age of Zoe

The sum of their ages is 102:

     D  +  J  +  E  +  Z  = 102

D + D+2 + 2D+4 + 4D+8 = 102

     8D + 14 = 102

         -14          -14

      8D  =  88

      ÷8        ÷8

      D = 11

J = 11+2 = 13

7 0
3 years ago
What I need to know is how to find x and y values by representing the answers in simplest radical form where necessary
Maru [420]

Answer:

x = 0.6623

y = 8

Image is attached for refernce of my solution

Step-by-step explanation:

In Δ DEF

By applying pythagoras theoram,

DE = \sqrt{EF^{2} - DF^{2}  }

     =\sqrt{17^{2} - 15^{2}  }  = \sqrt{289 - 225}  = \sqrt{64}  =8

∴ DE = 8

In Δ ABC

BC = y = 12 sin 30° = 6

AC = \sqrt{3} + DE + x = \sqrt{3} + 8 + x = 12 cos 30°

⇒ 9.73 + x = 10.39

<h3>⇒ x = 0.6623</h3>

6 0
2 years ago
What is 5 ones , 38 tens , 27 hundreds , and 5 thousands? Write the number in word form and expanded form
weqwewe [10]

<em>Answer:</em>

Eight thousand eighty five, 8000 + 80 + 5

<em>Explanation:
</em>Five ones, thirty-eight tens, twenty-seven hundreds, and five thousands equal to:

5 + 380 + 2700 + 5000

This is 8085 when added or eight thousand eighty-five in word form. This is also 8000 + 80 + 5 in expanded form.

3 0
1 year ago
Directions: Graph each function and give its key characteristics. Use a graphing calculator for the turning points and round to
skad [1K]

Answer:

for example, if f(x)= x^2 + 3

and they gave write f(5)= 5^2 +3

=25+3=28

3 0
2 years ago
Ratios and Proportions
irina1246 [14]
An example of a ratio would be:
1:2
3:4
5:6

An example of a proportion would be:
1/2
3/4
5/6

Hope this helps!

4 0
3 years ago
Read 2 more answers
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