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likoan [24]
3 years ago
5

Find the area of the rectangle as a single expression.

Mathematics
1 answer:
qwelly [4]3 years ago
7 0

Answer:

D) 15x^2 +6x-48

Step-by-step explanation:

Area \:  of  \: rectangle  \\  = length \times width \\  = 3(x + 2) \times (5x - 8) \\  = (3x + 6) \times (5x - 8) \\  = 3x(5x - 8) + 6(5x - 8) \\  = 15 {x}^{2}  - 24x + 30x - 48 \\  = 15 {x}^{2}  + 6x - 48

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In the diagram, the measure of angle 3 is (23x)°, and the measure of angle 4 is (7x)°.
Sophie [7]
Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.

The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.

Hope this helped!
3 0
3 years ago
Read 2 more answers
A 12-foot ladder leans against the wall; the base of the ladder is 2 feet away from the wall.To the nearest tenth of a foot, how
ludmilkaskok [199]
<h3>The ladder will reach a height of 11.8 feet up the wall</h3>

<em><u>Solution:</u></em>

The ladder, wall and base of the ladder from wall forms a right angled triangle

Length of ladder forms the hypotenuse

Length of ladder = 12 foot

base of the ladder from wall = 2 feet

<em><u>To find: height of wall</u></em>

By pythagoras theorem.

c^2 = a^2+b^2

Where,

"c" is the Length of ladder

"a" is the base of the ladder from wall

"b" is the height of wall

Substituting the values,

12^2 = 2^2+b^2\\\\144 = 4 + b^2\\\\b^2 = 140\\\\b = \pm 11.832 \\\\Ignore\ negative\ value\\\\b \approx 11.8

Thus, the ladder will reach a height of 11.8 feet on wall

4 0
3 years ago
....pls help me :((((((
Rina8888 [55]

Answer:

y= -7

Step-by-step explanation:

So first distribute the 8

4=8y+32-4y

now combine like terms (the -4y+8y)

4=32+4y

Subtract 32 on both sides to isolate 4y

-28=4y

now divide 4 on both sides to isolate Y

-7=y

so y= -7

5 0
3 years ago
What are prime Numbers
KiRa [710]
2,3,5,7,11,13,821, and 823


please can i have a brainliest
5 0
3 years ago
Read 2 more answers
A train leaves Westchester at 6:30. What time should it arrive at Middlewich
Sholpan [36]

Answer:

a). 6:51

b). 6:30 am

c). 34 minutes

Step-by-step explanation:

a). Train leaves Westchester at 6:30.

   From the arrival - departure table in column (2),

   Arrival time of the train at middlewich = 6:51

b). Kate has to reach Southam before 9:00 am

   Therefore, time of the latest train that she can catch to get to work on time is 6:30 am

    By this train she can reach at 07:19 at Southam.

c). Duration of journey from Westchester to Eastwick = 06:34 - 06:00

                                                                                        = 00:34

                                                                                        ≈ 34 minutes

8 0
3 years ago
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