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3 years ago

Which shows 54^2 − 46^2 being evaluated using the difference of squares method?

Mathematics

2 answers:

tekilochka [14]3 years ago

6 0

54^2 − 46^2 = (54 + 46)(54 − 46) = (100)(8) = 800

hope it helps

dolphi86 [110]3 years ago

6 0

A difference of squares is of the form (a^2-b^2) and always factors to:

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

So in this case:

(54^2-46^2)=(54+46)(54-46)=(100)(8)=800

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Identify the length of line BA. A) 12.6 B) 5.6 C) 22.4 D) 8.8

Zielflug [23.3K]

Answer:

B). 5.6

Step-by-step explanation:

3.2/x = 4/7

Then, cross-multiply

4x = (3.2) 7

4x = 22.4

x = 5.6

3 0

2 years ago

Graph the system & write its solution 2x+y=-4 Y=-1/2x-1

xz_007 [3.2K]

Answer:

The solution of system of equation is (-2,0)

Step-by-step explanation:

Given system of equation are

Equation 1 : 2x+y=(-4)

Equation 2 : y+ $\frac{1}{2}$ x=(-1)

To plot the equation of line, we need at least two points

For Equation 1 : 2x+y=(-4)

Let x=0

2x+y=(-4)

2(0)+y=(-4)

y=(-4)

Let x=1

2x+y=(-4)

2(1)+y=(-4)

y=(-6)

Therefore,

The required points for equation is (0,-4) and (1,-6)

For Equation 2 : y+ $\frac{1}{2}$ x=(-1)

Let x=0

y+ $\frac{1}{2}$ x=(-1)

y+ $\frac{1}{2}$ (0)=(-1)

y=(-1)

Let x=2

y+ $\frac{1}{2}$ x=(-1)

y+ $\frac{1}{2}$ (2)=(-1)

y=(-2)

The required points for equation is (0,-1) and (2,-2)

Now, plot the graph using this points

From the graph,

The red line is equation 1 and blue line is equation 2

Since. The point of intersection is solution of system of equations

The solution of system of equation is (-2,0)

6 0

2 years ago

If ac =14 find the value of x then find ab and bc

Igoryamba

Answer:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

Step-by-step explanation:

AB=x

BC = 2x + 2BC=2x+2

AC =14AC=14

Required

Determine x, AB and BC.

Since B is between A and C;

AB + BC = ACAB+BC=AC

Substitute x for AB; 2x + 2 for BC and 14 for AC

x + 2x + 2 = 14x+2x+2=14

3x + 2 = 143x+2=14

Collect Like Terms

3x = 14 - 23x=14−2

3x = 123x=12 '

x = \frac{12}{3}x=

x = 4x=4

Substitute 4 for x in

AB = xAB=x

BC = 2x + 2BC=2x+2

AB = 4AB=4

BC = 2(4) + 2BC=2(4)+2

BC = 8 + 2BC=8+2

BC = 10BC=10

3 0

1 year ago

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi

Whitepunk [10]

Answer:

$A=81\pi $ m^2$

Step-by-step explanation:

Circumference of the column $=18\pi $ meters$

Circumference of a circle $=2\pi r$

Therefore:

$2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters$

Area of a Circle $=\pi r^2$

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

$=\pi *9^2\\=81\pi $ m^2$

5 0

3 years ago

Please I need step by step solution.

4vir4ik [10]

Answer:

A) 2C

Step-by-step explanation:

The relevant rule of logarithms is ...

log(x²) = 2·log(x)

We know that 64 = 8². So, ...

log(64) = log(8²) = 2·log(8)

We are given that log(8) = C, so 2·log(8) = 2C

Here, all logarithms are to the base 9. That does not change the relations shown.

7 0

2 years ago