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3 years ago

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

2 answers:

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 & f(2)=-3 then a&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