⇒ Solution
1) Simplify
<span>4x−20−8=−28+6x
2) </span>Simplify 4x−20−8 to 4x−28
<span>4x−28=−28+6x
3) G</span>roup all terms
<span>4x−28=6x−28
4) </span>Cancel −28 from eachside
<span>4x=6x
5) </span>Move all of the terms to one side
<span>4x−6x=0
6) </span>Simplify equation 4x−6x to −2x
<span>−2x=0
</span>7) Divide each side by <span><span>−2</span></span>
<span><span>x=0</span></span>
Answer:
y=18.5x
Step-by-step explanation:
74-55.5=18.50
92.50-74=18.50
111-92.5=18.50
(3,55.50)
y=18.5x +b
55.50=18.5(3)+b
55.50=55.50+b
b=0
Answer:
9) a = 8, b = 4√2
10) x = 7√2, y = 7
11) x = 5√2, y = 5
12) a = 10, b = 5√2
Step-by-step explanation:
You can notice all these triangles are special as 45° - 45° - 90° triangles. In 45° - 45° - 90° triangles, the hypotenuse is √2 times the sides. We can set up these equations and solve:
9)
a = 4√2 * √2
a = 8
Since the triangle is isosceles, the legs are the same length, so:
b = 4√2
10)
x = 7 * √2
x = 7√2
Since the triangle is isosceles, the legs are the same length, so:
y = 7
11)
x = 5 * √2
x = 5√2
Since the triangle is isosceles, the legs are the same length, so:
y = 5
12)
a = 5√2 * √2
a = 10
Since the triangle is isosceles, the legs are the same length, so:
b = 5√2
Answer:
(x - 3) • (x^2 - 4x - 7)
Step-by-step explanation:
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-4x-7
The first term is, x2 its coefficient is 1 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -7
Step-1 : Multiply the coefficient of the first term by the constant 1 • -7 = -7
Step-2 : Find two factors of -7 whose sum equals the coefficient of the middle term, which is -4 .
-7 + 1 = -6
-1 + 7 = 6
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(x - 3) • (x2 - 4x - 7)
Processing ends successfully
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