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slamgirl [31]
3 years ago
6

Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?

Mathematics
2 answers:
Dahasolnce [82]3 years ago
5 0

Answer:

u2 + 5u – 6 = 0 where u = (x + 2)

Darya [45]3 years ago
3 0
Quadratic is in the form
ax^2+bx+c=0

so distribute and stuff and simplify
remember
a(b+c)=ab+ac

(x+2)^2+5(x+2)-6=0
remember order of opertaions
(x+2)(x+2)+5(x+2)-6=0
x^2+4x+4+5x+10-6=0
add like terms
x^2+9x+8=0
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I hope it’s correct

The answer:
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3 years ago
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If DE = 8, PS = 4, and PQ = 3, then what is the scale factor of DEFG to PQRS?
posledela

The scale factor of DEFG to PQRS is: 3/8.

<h3>What is a Scale Factor?</h3>
  • A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
  • Scale factor is ratio of corresponding side of new figure to original figure.

Thus:

DE corresponds to PQ.

PQRS is the new figure.

DE = 8; PQ = 3

  • Therefore:

Scale factor of DEFG to PQRS = PQ/DE

Scale factor = 3/8.

Thus, the scale factor of DEFG to PQRS is: 3/8.

Learn more about scale factor on:

brainly.com/question/2826496

6 0
3 years ago
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jasenka [17]

Answer:

The load weight is 2.29 N

Step-by-step explanation:

We note that  at equilibrium, the sum of the moment and the sum of forces about a point is zero, therefore, we have;

∑M =0

∑F = 0

The parameters given are;

The distance of the load from the hinge = 35 cm

The distance of the load from the spring balance = 15 cm

The applied force on the spring balance = 4 N↑

The direction of the applied force on the spring balance = Upwards

Let the weight of the load = W↓

The direction of the weight of the load = Downwards

We use downward negative and upward positive coefficients for the forces

We take moment about the hinge as follows;

Sum of moments equals zero gives;

4 × (35 - 15) - W × 35 = 0

∴ 4 × (35 - 15) = W × 35

4 × 20 = W × 35

W = 4 × 20/35 = 2.29 N

The weight of the load = 2.29 N.

5 0
3 years ago
Y-3=-3y-43 show the work
Bumek [7]

Answer:

y = - 10

Step-by-step explanation:

Given

y - 3 = - 3y - 43 ( add 3y to both sides )

4y - 3 = - 43 ( add 3 to both sides )

4y = - 40 ( divide both sides by 4 )

y = - 10

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Find the missing length indicated.​
fomenos

Answer:12

Step-by-step explanation:

Square root of 16x9=12

8 0
3 years ago
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