MATHEMATICS HIGH SCHOOL

ΔXYZ is translated 4 units up and 3 units left to yield ΔX′Y′Z′. What is the distance between any two corresponding points on ΔXYZ and ΔX′Y′Z′ ?25 units

7 units

5 units

7√ units

Answers

Answer 1
Answer: By translating triangle ABC 4 units up and 3 units left to form triangle A'B'C' means that the line joining each of the corresponding points represents the hypothenus of a right triangle with legs 4 units and 3 unit. To find the length of each corresponding points, we use the prthagoras theorem which states that the square of the length of the pythagoras of a right triangle is equal to the sum of the squares of the lenght of other legs. i.e. the square of the required distance = 4^2 + 3^2 = 16 + 9 = 25 Therefore, the distance of eachcorresponding side is given by the square root of 25 = 5.
Answer 2
Answer:

Answer:

5

Step-by-step explanation:

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Explain why x2+7x+4=7x has no solutions.

Answers

x^2+7x+4=7x

x^2+4=0

x^2=-4

Square of any real number cannot be negative because - * - = + so this equation has no solutions

what rational number lies in between -14/31 and -17/33? A. -989/3069 B. -123/276 C. -989/2046 D. -4/7

Answers

-14/31 and -17/33

-17/33 - (-14/31) = (-17/33*31/31) - (-14/31*33/33) = -527/1023 +  462/1023

= (-527+462)/1023 = -65/1023 

-65/1023 ÷ 2 = -65/1023 * 1/2 = -65/2046

-17/33 - (-65/2046) = (-17/33*62/62) - (-65/2046) = -1054/2046 + 65/2046
= -989/2046 Choice C.

Factor completely 16x2 + 40x + 25.(4x − 5)(4x − 5)

(2x − 5)(2x − 5)

(2x + 5)(2x + 5)

(4x + 5)(4x + 5)

Answers

Answer:

The factors are : (4x+5)(4x+5)

Step-by-step explanation:

The given expression is :

16x^(2) +40x+25

Re writing the equation :

4^(2)x^(2) +40x+5^(2)

Applying the rule a^(x) b^(x) =(ab)^(x)

(4x)^(2) +40x+5^(2)

Re write 40x as 2.4x.5

(4x)^(2) + 2*4x*5+5^(2)

Applying perfect square formula:

(a+b)^(2)=a^(2) +2ab+b^(2)

where a = 4x and b = 5

So, the factors become : (4x+5)^(2)

or (4x+5)(4x+5)
Hello,

16x²+40x+25=(4x+5)²
Answer 4

What is the quadratic equation 2x2+3x-20=0

Answers

The solution of quadratic equation are,

⇒ x = - 4

⇒ x = 5/2

We have to given that;

Quadratic equation is,

⇒ 2x² + 3x - 20 = 0

Now, We can simplify for the solution of equation as;

⇒ 2x² + 3x - 20 = 0

⇒ 2x² + 8x - 5x - 20 = 0

⇒ 2x (x + 4) - 5 (x + 4) = 0

⇒ (x + 4) (2x - 5) = 0

This gives,

⇒ x = - 4

⇒ 2x - 5 = 0

⇒ 2x = 5

⇒ x = 5/2

Hence, The solution of quadratic equation are,

⇒ x = - 4

⇒ x = 5/2
3x=20+2x2=24
x=24÷3=8

What type of number is - v 81?

Answers

Answer:

rational

Step-by-step explanation:

What is the frequency for the scores in the interval 81-100?

Answers

I think it should be -19
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