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4 years ago

Please help i will mark brainleist

Mathematics

1 answer:

Gelneren [198K]4 years ago

4 0

Q.1A.). Tim has a scale model of an airplane which says it is in a 1:15 ratio what shoes that mean? Answer: It means that the scale model of the Airplane; Tim has is 15 times smaller than it's real size.

Q.2B.). If a scale factor is LESS than one, then the object will scale REDUCTION or WRITTEN as a FRACTION; bigger to smaller dimensions.

Q.3C.). If a scale factor is GREATER than one, then the object will scale A SKETCH; to larger dimensions.

Summary: A scale factor describes how much larger; or smaller; The enlarged shape is compared to the original shape.

• A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

• The center of dilation is a fixed point in the plane.

• If the scale factor is greater than 1, the image is an enlargement (a stretch).

• If the scale factor is between 0 and 1, the image is a reduction (a shrink).

• If the scale factor is 1, the figure and the image are congruent.

Hope that helps you, and that is what you are looking for: : )

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Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

4 years ago

Solve the equation. If there is no solution, select no solution. | b | /2 + 5 = -7

cricket20 [7]

I think the answer may be no solution

4 0

3 years ago

Read 2 more answers

What is the fifth term of the sequence? an=5⋅2n−1 a5=

Misha Larkins [42]

Answer:

49 is the best answer. Hope this helps!

Step-by-step explanation:

5 0

4 years ago

Express as a single logarithm and, if possible, simplify. log 1000000 - log 100

Svetllana [295]

$\log1000000-\log10=6-1=5$

3 0

4 years ago

Explanation:

Karolina [17]

Step-by-step explanation:

Hey there!

Firstly we need to find an equation of the line passing through point (-2,-2).

Now,

The equation of a st.line passing through point (-2,-2) is,

$(y - y1) = m1(x - x1)$

Now, putting the values,

$(y + 2) = m1(x + 2)$

It is first equation.

Now, another equation is,

y= 2x+3

Comparing, the equation with y = mx+c.

slope (m2)= 2

As per the condition of parallel lines,

m1=m2= 2

Putting, the values of m1 in equation (i)

(y+2)= 2(x+2)

y= 2x+2....is the equation.

Therefore, Jill's equation is correct answer.

Hope it helps...

8 0

4 years ago