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vichka [17]
2 years ago
11

What’s the expression of (9x2 - 2x + 7) + (4x2 + 7x + 2)

Mathematics
1 answer:
zloy xaker [14]2 years ago
6 0

Answer:

35+5x

Step-by-step explanation:

Pick each bracket and solve them separately. After solving, then you add them

the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1

the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2

Add eqn 1 and 2

= (25-2x) + (10+7x)

Grouping like terms,

= (25+10) + (-2x+7x)

=35+5x

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The given equation is: y+2x=5

To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.

The equation to a line perpendicular to it is:

$ 2y-x=c$

where, $c$ is some constant we have determine using the condition given.

It passes through $(2,-1)$

Put the point in our equation:

$2(-1)-(2)=c$

$c=-2-2$

$c=-4$

The final equation is:

$\boxed{ 2y-x=-4}$

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3 years ago
Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets
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Step-by-step explanation:

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Given the following diagram, find the missing measure.<br>*​
BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, m\angle2=\frac{4}{3}x^\circ, m∠3 = 20°

Exterior angle theorem:

<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>

By this theorem,

m∠4 = m∠2 + m∠3

$2x^\circ=\frac{4}{3}x^\circ+20^\circ

Subtract \frac{4}{3}x^\circ on both sides of the equation.

$2x^\circ-\frac{4}{3}x^\circ=20^\circ

To make the denominator same and then subtract.

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$\frac{2}{3}x^\circ =20^\circ

Multiply by \frac{3}{2} on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0
3 years ago
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