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3 years ago

Distribute and simplify: 7 (2x - 4) + 2 (3x + 1)

Mathematics

1 answer:

Alenkinab [10]3 years ago

3 0

$7(2x-4)+2(3x+1)\\\\[(7*2x)+(7*-4)]+[(2*3x)+(2*1)]\\\\(14x-28)+(6x+2)\\\\14x+6x-28+2\\\\\\20x-25$

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In the adjoining figure O is the centre of the circle the tangent to the circle of radius 6 cm from the exterior point P of the

slamgirl [31]

Answer:

Let P be the external point. O be the origin. join O and P get OP and nearest point on the circle from P be A.

Let Q be the point onthe circle in which, tangent make 90° with radius at Q.

PQ = 8 and OQ = 6

we get a right angled triangle PQO right angled at Q.

so, OP^2 = OQ^2 + PQ^2= 8^2 + 6^2 = 64 + 36 =1==

therefore OP =10cm

we need nearest point from P, which is PA

PA = OP - OA= 10 -6=4cm

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2 years ago

Which equation matches these solutions? x = 5, -7

weqwewe [10]

(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7

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2 years ago

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IrinaK [193]

Answer:

3. x = 53

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Step-by-step explanation:

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3 years ago

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A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What

vladimir2022 [97]

Answer:

The perimeter of the triangle is $12\ units$

Step-by-step explanation:

Let

$A(-3,1),B(1,1),C(1,-2)$

we know that

The perimeter of triangle is equal to

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$A(-3,1),B(1,1)$

substitute in the formula

$AB=\sqrt{(1-1)^{2}+(1+3)^{2}}$

$AB=\sqrt{(0)^{2}+(4)^{2}}$

$AB=4\ units$

step 2

Find the distance BC

$B(1,1),C(1,-2)$

substitute in the formula

$BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}$

$BC=\sqrt{(-3)^{2}+(0)^{2}}$

$BC=3\ units$

step 3

Find the distance AC

$A(-3,1),C(1,-2)$

substitute in the formula

$AC=\sqrt{(-2-1)^{2}+(1+3)^{2}}$

$AC=\sqrt{(-3)^{2}+(4)^{2}}$

$AC=5\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=4+3+5=12\ units$

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3 years ago

What is the answer to this?

Alisiya [41]

Answer:

i think it was -(1/3)

Step-by-step explanation:

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3 years ago

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