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3 years ago

Select ALL the statements that have exactly ONE solution

Mathematics

1 answer:

Luba_88 [7]3 years ago

4 0

Answer:

I don't know the answer to this question.

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Triangle ABC is similar to triangle PQR, as shown below:

natita [175]

Answer:

$\frac{q}{b}=\frac{r}{c}$

Step-by-step explanation:

Consider the options for this question are as follow,

$\frac{q}{c}=\frac{r}{b}$

$\frac{c}{p}=\frac{b}{a}$

$\frac{c}{a}=\frac{q}{r}$

$\frac{q}{b}=\frac{r}{c}$

Here, In triangles ABC and PQR,

AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,

Since,

$\traingle ABC\sim \triangle PQR$

We know that,

The corresponding sides of similar triangles are in same proportion,

Thus,

$\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}$

$\frac{c}{r}=\frac{a}{p}=\frac{b}{q}$

$\frac{r}{c}=\frac{p}{a}=\frac{q}{b}$

$\implies \frac{q}{b}=\frac{r}{c}$

3 0

2 years ago

Read 2 more answers

At most, how many unique roots will a third-degree polynomial function have?

beks73 [17]

The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.

In fact, if you use complex number, then a polynomial with degree n has exactly n roots.

So, in particular, a third-degree polynomial can have at most 3 roots.

In fact, in general, if the polynomial $p(x)$ has solutions $x_1,\ x_2,\ldots x_n$ , then you can factor it as

$p(x) = (x-x_1)(x-x_2)\ldots (x-x_n)$

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

$p(x)=(x-x_1)(x-x_2)(x-x_3)(x-x_4)$

But this is a fourth-degree polynomial.

7 0

3 years ago

Which is equivalent to (4xy – 3z)2, and what type of special product is it?

Semmy [17]

The last choice is right sure because this is a perfect square trinomial

(4xy -3z)^2 = 16x^2y^2 -24xyz +9z^2

hope this will help you

5 0

2 years ago

Read 2 more answers

What is linear pair Angle ?????

Degger [83]

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Linear Pair : - Two adjacent Angles are set to form a linear pair of angles if they are not common arm are two opposite, is called linear pair ~™

8 0

2 years ago

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Ayden had a goal of finishing painting at least 80% of the 500 square meters of a houses walls by today. He finishes 415 meters

lord [1]

Yes no square meters less 15 more

3 0

3 years ago