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3 years ago

Question 1 (1 point)

Mathematics

2 answers:

NikAS [45]3 years ago

8 0

Answer:

Step-by-step explanation:

4(x - 1)2 + 3y

12-4+2+6

8+2+6

10+6

16 i think

valentina_108 [34]3 years ago

5 0

Answer:

Step-by-step explanation:

4(3 - 1) 2 + 3(2)

12 - 4 + 2 + 6

8 + 8

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In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circl

Semmy [17]

Answer:

$m\ arc\ CD=43\°$

Step-by-step explanation:

we know that

$m$ -----> by central angle

see the attached figure to better understand the problem

we have

$m\ arc\ BC=105\°$

$m$

substitute

$148\°=105\°+m\ arc\ CD$

$m\ arc\ CD=148\°-105\°=43\°$

4 0

3 years ago

Read 2 more answers

HELP FASTTTT Which graph shows the solution to the system of linear inequalities ?

Mice21 [21]

Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.

y<x+1 can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)

x-4y <=4
again, ignore the constants and simplify to
x-y<0 or
y>x so the valid part is ABOVE the line (since y>)

There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.

For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.

As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.

4 0

3 years ago

Read 2 more answers

Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She

qaws [65]

<h3>Answer: 16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\$

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0

2 years ago

(sinx-1)(sinx+cos^2x) multiply and simplify

sveta [45]

$\bf [sin(x)-1][sin(x)+cos^2(x)]\\\\
-------------------------------\\\\
sin^2(x)+sin(x)cos^2(x)-sin(x)-cos^2(x)
\\\\\\\
[sin^2(x)-cos^2(x)]+[sin(x)cos^2(x)-sin(x)]
\\\\\\
-[cos^2(x)-sin^2(x)]-[sin(x)-sin(x)cos^2(x)]
\\\\\\
-[\stackrel{cos(2x)}{cos^2(x)-sin^2(x)}]-sin(x)\stackrel{sin^2(x)}{[1-cos^2(x)]}
\\\\\\
-cos(2x)-sin(x)sin^2(x)\implies -cos(2x)-sin^3(x)$

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3 years ago

A car dealership has various combinations of vehicles in their car lot, all of which have an equally likely change of being sele

Effectus [21]

Answer:

The probability of a car being selected will be given by :the number of car required/ the total number of cars

Step-by-step explanation:

Probability is the likelihood of an event occurring.

This is given by : number of required outcome/number of possible outcome

7 0

3 years ago