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AfilCa [17]
3 years ago
13

All of the following expressions simplify to -4x + 9, except

Mathematics
1 answer:
Alla [95]3 years ago
6 0
What are the options for the expressions?
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andrezito [222]
Y= 2/3x + 10 (or 11?) is the equation
7 0
3 years ago
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I need help with the equation.
natulia [17]

Answer:

(x - 3)² + (y + 9)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given area = 25π , that is

πr² = 25π ( divide both sides by π )

r² = 25 ( take the square root of both sides )

r = \sqrt{25} = 5

With centre (h, k) = (3, - 9 ) and r = 5 , then

(x - 3)² + (y - (- 9) )² = 5² , that is

(x - 3)² + (y + 9)² = 25

8 0
3 years ago
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last year there were b pies baked for the bake sale. This year there were 194 pies baked. Using b write an expression for the to
muminat

Answer:

b+194=pies

Step-by-step explanation:

take the number of pies baked this year then add the b and then you get p(pies)

6 0
3 years ago
A. Find PR in the diagram <br> b. Find the perimeter of quadrilateral PQRS
Elan Coil [88]

Answer:

Step-by-step explanation:

The quadrilateral has 4 sides and only two of them are equal.

A) to find PR, we will consider the triangle, PRQ.

Using cosine rule

a^2 = b^2 + c^2 - 2abcos A

We are looking for PR

PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70

PR^2 = 64 + 49 - 112 × 0.3420

PR^2 = 113 - 38.304 = 74.696

PR = √74.696 = 8.64

B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,

We will use the sine rule because only one side,PR is known

For sine rule,

a/sinA = b/sinB

SP/ sin 35 = 8.64/sin110

Cross multiplying

SPsin110 = 8.64sin35

SP = 8.64sin35/sin110

SP = (8.64 × 0.5736)/0.9397

SP = 5.27

SR = SP = 5.27

The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm

6 0
3 years ago
Factor completely 3x^2+9x-3<br>3(x^2+3)<br>3(x^2+3-1)<br>3x(x^2+3x-1)<br>prime​
Firdavs [7]

Answer:

Answer from the answer data to choose from

<h2>3(x² + 3x - 1)</h2>

Factor completely

3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)

Step-by-step explanation:

3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)

4 0
3 years ago
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