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lions [1.4K]
3 years ago
8

Add. x−2x2−6x+8+x−4x2−16

Mathematics
1 answer:
Anastaziya [24]3 years ago
3 0
Step 1. Gather like terms

(x-6x+x)+(-2 x^{2} -4 x^{2})+8-16

Step 2. Simplify

-4x-6 x^{2}+8-16

Step 3. Simplify

-4x-6 x^{2}-8

Done!
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3 years ago
The hexagon GIKMPR is regular. The dashed line segments form 30 degree angles.
Gwar [14]

Answer:

The correct option is (D).

Step-by-step explanation:

It is given that GIKMPR is regular hexagon. It means it has 6 vertices.

Since the central angle is 360 degree. Therefore the central angle between two consecutive vertices is

\frac{360^{\circ} }{6}=60^{\circ}

It is given that the dashed line segments form 30 degree angles.

We have rotated the hexagon about O to map PQ to RF. Since P and R are consecutive vertices, therefore the angle between them is 60 degree.

The vertex R is immediate next to the vertex P in clockwise direction.

So if we rotate the hexagon at 60 degree clockwise about O, then we can maps PQ to RF.

360^{\circ}-60^{\circ}=300^{\circ}

Therefore we can also rotate the hexagon at 300 degree counterclockwise about O, then we can maps PQ to RF.

Therefore option D is correct.


8 0
3 years ago
Jeremy and Brenda drove their cars in
harkovskaia [24]

Answer: Jeremy drove 84 miles.

Step-by-step explanation:

Let x represent the number of miles that Brenda drove.

If Jeremy drove twice

as far as Brenda, it means that the distance covered by Jeremy would be 2x miles

When they stopped after some time, they were already

126 miles apart. This means that the total distance covered by both of them is 126 miles. Therefore,

x + 2x = 126

3x = 126

x = 126/3

x = 42 miles

The number of miles that Jeremy drove is

42 × 2 = 84 miles

4 0
4 years ago
A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.
stepladder [879]

Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.

<h3>What is the cost of the bond?</h3>

The current cost of the bond is the present value of the bond's cashflows and its par value.

This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.

The cost of the bond is:

= 1,000 x 85 ¹/₄%

= $852.50

Find out more on the cost of bonds at brainly.com/question/15567868.

#SPJ1

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2 years ago
Dillon works in the shipping department of a toy factory that makes radio-controlled
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3 years ago
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