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3 years ago

Answer for the square root(5x-9)+1=x

1 answer:

8 0

$\bf \sqrt{5x-9}+1=x\implies \sqrt{5x-9}=x-1\implies 5x-9 = (x-1)^2 \\\\\\ 5x-9=\stackrel{\mathbb{FOIL}}{x^2-2x+1}\implies 5x=x^2-2x+10\implies 0=x^2-7x+10 \\\\\\ 0=(x-5)(x-2)\implies x= \begin{cases} 5\\ 2 \end{cases}$

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Quadrilateral KMPT is dilated by a scale factor of 3/4 to create K'M'P'T'. The perimeter of quadrilateral KMPT is x units. What

777dan777 [17]

Answer:

B) $\frac{3}{4}$ x units

Step-by-step explanation:

Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:

Perimeter of a rectangle = 2 (l + b)

where: l is the length = 12 units and b is the breadth = 8 units. So that:

Perimeter of KMPT = 2 (12 + 8)

= 40 units

Dilating KMPT by a scale factor of $\frac{3}{4}$ would create K'M'P'T' of dimensions; $\frac{3}{4}$ × 12 units by $\frac{3}{4}$ × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.

Perimeter of K'M'P'T' = 2 (l + b)

= 2(9 + 6)

= 30 units

Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be $\frac{3}{4}$ × perimeter of KMPT.

Therefore, if the perimeter of KMPT is x units, then;

perimeter of K'M'P'T' = $\frac{3}{4}$ * x units

= $\frac{3}{4}$ x units

6 0

3 years ago

What are the solutions of the equation x6 – 9x3 + 8 = 0? Use u substitution to solve.

Natalka [10]

X6 – 9x3 + 8 = 0
let u = x^3
u^2 - 9u + 8 = 0
(u-8)(u-1) = 0
u = 1,8
back substitute
1 = x^3
8 = x^3

x = 1 , 2

4 0

3 years ago

How many times greater is one hour than one minute

Sindrei [870]

The answer to your question is...

60 times more than a minute!

8 0

3 years ago

I NEED HELP ASAP WILL GIVE BRAINLYEST

kodGreya [7K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If 8 girls brought a lunch box and 6 boys didnt what is the probability of a student bringing one.

laila [671]

Answer:

0.57 or 4÷7

Step-by-step explanation:

p(event)=n( possible event) ÷ total n(sample space)

total n(sample space) =6+8 =14

n( possible event) =8

p(a student bringing one) = 8 ÷ 14

= 4 ÷ 7 or 0.57(dp)

7 0

3 years ago