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torisob [31]
2 years ago
8

Match the perfect square trinomials with their factors 4a2 + 4a + 1 (2 + a)(2 + a) 4a2 − 4a + 1 (2a + 1)(2a + 1) 4 − 4a + a2 (2a

− 1)(2a − 1) 4 − 4a − a2 (2 − a)(2 − a) 4 + 4a + a2
Mathematics
1 answer:
ratelena [41]2 years ago
8 0
4a2 + 4a + 1 = (2a +1)^2 = <span>(2a + 1)(2a + 1)
</span>4 − 4a + a2  = (2 - a)^2 = <span>(2 − a)(2 − a)
</span>4a2 − 4a + 1 = (2a -1)^2 = <span>(2a − 1)(2a − 1)
</span><span>4 + 4a + a2</span> = (2 + a)^2 = (2 + a)(2 + a) 
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The average of your first 6 tests is 82. If your test average after your seventh test is an 80.5, what did you score on the seve
mart [117]
So average is  of the first 6 tests is 82   well that means 

(test1 + test2+ test3+ test4 + test5+test6)/6 = 82

so now let do some cross multiplliying 

test1 + test2 + test3 + test 4 + test5 +test6 = 82*6

test1 + test2 + test3 + test 4 + test5 +test6  = 492

now lets see if we can find that 7th test score

(test1 + test2 + test3 + test4 + test5 +test6 + test7)/7 = 80.5

So look we found test1 + test2 + test3 + test4 + test5 +test6 to be 492 so lets substitute. 

(492 + test7 )/7 = 80.5

test7 = (80.5*7)-492 = 71.5 



7 0
2 years ago
If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?
Paul [167]

Answer: The ΔVZX and ΔWXZ are not congruent by SAS.

Explanation:

It is given that the VX = WZ = 40 cm and ∠ZVX = ∠XWZ = 22°.

Draw a figure as shown below,

According to the SAS rule of congruence, two triangles are congruent if two sides and their inclined angle is equal.

From the given figure it is easily noticed that in ΔVZX and ΔWXZ,

VX=WZ=40cm       (given)

\angle ZVX=\angle XWZ=22^{\circ}     (given)

XZ=XZ      (common side)

Since we have two sides and one angle is same. but we can not conclude that the ΔVZX and ΔWXZ are congruent by SAS, because the given angle is not the inclined angle of both equal sides.

Therefore, the  ΔVZX and ΔWXZ are not congruent by SAS.

4 0
2 years ago
Read 2 more answers
Complete the square to rewrite y = x2 - 6x + 15 in vertex form. Then state
love history [14]

Since x^2 is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.

So, if we think of 15 as 9+6, we have

x^2-6x+9+6 = (x-3)^2+6

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).

Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.

5 0
2 years ago
The Toga Trench is at an elevation of 35,702 feet below sea level .The south sandwich Trench is at an elevation of 23,737 ft . b
Aleks04 [339]

Answer:

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

Step-by-step explanation:

Given the following:

Tonga trench Elevation = 35,702 Feets

South sandwich trench elevation = 23,737 Feets

Expressing both numbers as rational numbers :

Both the Tonga trench Elevation and South sandwich trench elevation are already stated as rational numbers because all integers are rational numbers, be it expressed as a quotient or proportion of integer numbers ( that is numbers that are expressed without decimal components.

Therefore, rational expression for both are :

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

4 0
2 years ago
How many subsets are there in (a,b,c,d,e,f,h,i)?​
Bond [772]

Answer:

The set has 256 subsets

Step-by-step explanation:

The set is [a,b,c,d,e,f,h,i]

Number of subset can be calculated from the formula

{2}^{n}

where n is the number of element in the set

n=8

This implies that

{2}^{n} =   {2}^{8} =256

7 0
2 years ago
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