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3 years ago

The expression a[b+(c−d)]

Mathematics

1 answer:

maria [59]3 years ago

5 0

Answer:

Step-by-step explanation:

When you distribute values, 'a' while be multiplied by everything. since there is a plus sign in front of the 'b' then that will not be distributed. so an 'ab' will add the an 'ac' but an 'ad' is still going to subtract away from the equation.

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Am I correct? (Perfect Square Form)

natka813 [3]

Answer:

$(x -3 )^2 = 10$

Step-by-step explanation:

Given

$x^2 - 6x - 1 = 0$

Required: Express as a perfect square

$x^2 - 6x - 1 = 0$

Add 10 to both sides

$x^2 - 6x - 1 +10= 0+10$

$x^2 - 6x +9= 10$

Expand

$x^2 - 3x - 3x+9= 10$

Factorize:

$x(x - 3) - 3(x - 3)= 10$

Factorize:

$(x -3 )(x - 3) = 10$

$(x -3 )^2 = 10$

8 0

3 years ago

What set of transformations is performed on triangle RST to form triangle R’S’T’?

ra1l [238]

Answer:

D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

The given triangle has vertices at R(3,4), S(1,1), and T(5,1)

Translating the the vertices down by 2 units, we apply the rule;

$(x,y)\to (x,y-2)$

$\implies (3,4)\to (3,2)$

$\implies (1,1)\to (1,-1)$

$\implies (5,1)\to (5,-1)$

Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:

$(x,y)\to (x,-y)$

$\implies (3,2)\to R'(2,-3)$

$\implies (1,-1)\to S'(-1,-1)$

$\implies (5,-1)\to T'(-1,-5)$

Therefore the correct choice is D.

4 0

3 years ago

A map show a town with an area of 3.5 inches.If the map has a scale of 1 inch:4 miles,what is the actual area of the town?

cestrela7 [59]

Answer:

The actual area of the town is 14 miles.

Step-by-step explanation:

Since you know that the scale is 1 inch:4 miles and that the map shows a town with an area of 3.5 inches, you can expressed this as follows:

Scale: 1 inch:4 miles

map area: 3.5 inches

If the actual area is x, you can say that:

3.5:x=1:4

This would be:

$\frac{3.5}{x}=\frac{1}{4}$

Now, you can solve for x:

x=(3.5*4)/1

x=14

According to this, the answer is that the actual area of the town is 14 miles.

7 0

3 years ago

Which equation shows that the Pythagorean identity is true for 0 = 180 degrees? select the equation that is in the form sin^2 0+

elixir [45]

The equation in the form of the given expression is (0)² + (1)² = 1

<h3>Trigonometry identity</h3>

According to some of the trigonometry identity

sin 0 = 0

cos 0 1

Given the expression below

sin^2 0+cos^2 0=1

This can also be expressed as:

(sin0)² + (cos0)² = 1

Substitute

(0)² + (1)² = 1

Hence the equation in the form of the given expression is (0)² + (1)² = 1

Learn more on trig identity here: brainly.com/question/20094605

#SPJ1

8 0

2 years ago

zane owns 6 stripe t-shirts,8 white t-shirt,and 4 solid coloured t-shirts.if zane picks a t-shirt at random,what is the probabil

I am Lyosha [343]

Answer:

2/3

Step-by-step explanation:

Find the total amount of shirts: 6 + 8 + 4 = 18

Find the total amount of white and solid colored shirts : 8 + 4 = 12

Put the total amount of white and solid colored shirts over the total amount of shirts: 12/18

Simplify 12/18: 2/3

5 0

3 years ago