Topic: Matrices, vectors

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

Answer:

Q4: 8; -2; Q5: {7;4;1}.

Step-by-step explanation:

for more details see the attached picture, the answers are marked with red and green colours.

Note, the suggested solutions are not the only way.

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A service station will be built on the highway, and a road will connect it with cray. How long will the new road be?

maxonik [38]

Answer:

46.2 mi is the right answer.

Step-by-step explanation:

In this question we will follow the property of congruence of two triangles.

Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

As we know in the congruent triangles all sides are in the same ratio.

Now we apply the property of the theorem

$\frac{Distance(Alba-Cray)}{Distance(Alba-Blare)}= \frac{Distance(Cray-Service station)}{Distance(Cray-Blare)}$

$\frac{120}{130}=\frac{x}{50}$

$x=50\frac{120}{130}$

x = 46.2 mi

7 0

3 years ago

What is the factored form of the polynomal? x2-12x+27

lianna [129]

Answer:

The answer is $(x-9) (x-3)$ .

Step-by-step explanation:

This is because when you multiply them together you get

$x^{2}$ , $-9x$ , $-3x$ , and $27$

When you add the like terms you get,

$x^{2} - 12x +27$

6 0

3 years ago

Which of the following are solutions to the equation below? check all that apply. 9x^2-6x+1=7

Evgesh-ka [11]

The answer is C and D

First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation <span>9x^2 - 6x - 6 = 0

Then we will use the quadratic formula to find the answers.

</span>using the Quadratic Formula where:
a = 9, b = -6, and c = -6

and the formula is 6 +- $\sqrt{6^2 - 4(9)(-6)}$ / 2(9)