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lana66690 [7]
3 years ago
7

Expand and simplify (x-3)(x+7)

Mathematics
2 answers:
dedylja [7]3 years ago
7 0
X(x+7) -3(x+7)
x² + 7x -3x -21
x² +4x -21

that's the answer
if you understand and it's correct. don't forget to make my answer the brainliest
andreev551 [17]3 years ago
3 0
Let's multiply each term for the other one.

I mean: x*x; x+7; -3*x; -3*7

So x²+7x-3x-21

We add up like terms.

Final answer: x²+4x-21
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Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

x^2-8x-10

If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
3 years ago
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.
nalin [4]

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

  • height, h = apothem of the hexagon = 2 cm and
  • base, b = length of shorter base of trapezoid.
<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

<h3>Area of the hexagon</h3>

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

5 0
2 years ago
Let f(x)=x+a/x+b such that f(f(1)=0 &amp; f(2)=-3 then a&amp;b resctivily are.
Yuliya22 [10]

Answer:

The value of a = - 1  ,   And b = \frac{ - 7 }{3}    

Step-by-step explanation:

Given as :

Function f(x) = \frac{(x + a)}{(x + b)}

And f(f(1)) = 0     And f(2) = - 3

Now For , x = 2 , y = - 3

I.e  f(2) = \frac{(2 + a)}{(2 + b)}

or,  - 3 = \frac{(2 + a)}{(2 + b)}

I.e 2 + a = - 6 - 3b

Or, a + 3b = - 8               ....... 1

Again  f(f(1)) = 0

So,  \frac{(1 + a)}{(1 + b)} = 0

Or,  1 + a = 0

∴    a = - 1

So , put htis value of a i n eq 1 , we get value of  b

So , - 1 + 3b = - 8

Or,   3b = - 7

∴       b = \frac{ - 7 }{3}

Hence The value of a = - 1  ,   And b = \frac{ - 7 }{3}    Answer

3 0
3 years ago
Find the value of x. what is the relationship of these 2 angles? set up and solve an equation
tatiyna

Answer:

the relationship between these two angle is they r straight angle.

  • 101+3x+4=180°
  • 105+3x=180°
  • 3x=180-105
  • x=75/3
  • x=25°

hope it helps

<h2>stay safe healthy and happy.</h2>
5 0
3 years ago
Read 2 more answers
500 in exponential form
allochka39001 [22]

Answer:

5 x 102

Step-by-step explanation:

5 0
3 years ago
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