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3 years ago

What is the first step in simplifying the expression ( 2-3 multiplied by 4 +5) to te power of 2

Mathematics

1 answer:

dlinn [17]3 years ago

7 0

You can do left to right because it is in parentheses

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28.

Mkey [24]

D.
x-intercept = 5
y-intercept = 15

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3 years ago

One of these graphs is of a cubic function. Which one is it?

Schach [20]

Answer:

Step-by-step explanation:

D is the correct answer. It is a cubic function

5 0

3 years ago

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Enlarge shape A by scale factor 4 with centre of enlargement (-2, 2).

dmitriy555 [2]

Answer:

(-6, 6), (2, 6), (-6, -2), (2, -2)

Step-by-step explanation:

Unfortunately, you can't just multiply the coordinates of the corners by 4. That works if the center of the enlargement is the origin, (0, 0). So you have to do this enlargement in 3 steps for <u>each</u> of the corner points.

Step 1 Move the point right 2 units and down 2 units $(x,\,y) \to (x+2,\,y-2)$ <em>.</em>

The reason for this step is that this is what you do to move the center (-2, 2) to (0, 0).

Step 2 Multiply the new coordinates by 4.

Step 3 Move the new point left 2 units and up 2 units $(x,\,y) \to (x-2,\,y+2)$ .

Example: using the upper-left corner (-3, 3)...

Step 1 $(-3,\,3) \to (-1,\,1)$

Step 2 $(-1,\,1) \to (-4,\,4)$

Step 3 $(-4,\,4) \to (-6,\,6)$

Repeat the process with the other three corners.

6 0

3 years ago

Select the correct answer.

dolphi86 [110]

Answer:

A. The graph of his graph of g vertically shifted up 1 unit.

Step-by-step explanation:

h(x) = g(x) + 1

h(x) = x² + 1

The graph shifted up 1 unit.

5 0

3 years ago

Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the

natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.

In order to triangle JKM be a right triangle $KM^{2}=JK^{2}+JM^{2}$ .

We will find length of side KM using our right triangles JLM and JLK as $KM=KL+LM$ .

Using Pythagorean theorem in triangle JLM we will get,

$LM=\sqrt{JM^{2}-JL^{2}}$

$LM=\sqrt{8^{2}-5^{2}}$

$LM=\sqrt{64-25}$

$LM=\sqrt{39}=6.244997998\approx 6.24$

Now let us find length of side KL.

$KL=\sqrt{JK^{2}-JL^{2}}$

$KL=\sqrt{13^{2}-5^{2}}$

$KL=\sqrt{169-25}$

$KL=\sqrt{144}=12$

Now let us find length of KM by adding lengths of KL and LM.

$KM=12+6.24=18.24$

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

$KM^{2}=JK^{2}+JM^{2}$

$18.24^{2}=13^{2}+8^{2}$

$18.24^{2}=169+64$

$18.24^{2}=233$

Upon taking square root of both sides of equation we will get,

$18.24\neq 15.264337522473748$

$18.2\neq 15.3$

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.

6 0

3 years ago

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