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Nastasia [14]
2 years ago
9

Solve. 45 = 4(a + 3) – 3

Mathematics
2 answers:
Alex787 [66]2 years ago
5 0

Answer:

a = 9

Step-by-step explanation:

45 = 4(a + 3) – 3

Add 3 to both sides.

48 = 4(a + 3)

Divide both sides by 4.

12 = a + 3

Subtract 3 from both sides.

9 = a

a = 9

Answer: a = 9

Anarel [89]2 years ago
4 0
A= 9. This will be your correct answer.
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If RS = 15 and ST = 9, then RT=
Lera25 [3.4K]
Rt=24 .. hope i helped 
4 0
3 years ago
Help I need done ASAP
lora16 [44]

Answer:

3/15 5/25 9/45

Step-by-step explanation:

If you look at 12/60 and simplify it you will get 1/5. Now you just have to apply this to the rest.

3 0
3 years ago
3. Which of the following is a polynomial with roots 4,6, and - 7
Vladimir79 [104]

Answer: P(x)=  x³ - 3 x² - 46 x +168

Step-by-step explanation:

(4,6, -7)

hence the polynomial will be equal to

P(x) = (x-4) (x-6) (x+7)

P(x) = (x-4) (x²+7 x -6 x -42)

P(x) = (x-4) (x²+x -42)

P(x) = x³ + x²-42 x -4 x² -4 x +168

P(x) =  x³ - 3 x² - 46 x +168

hence, the required polynomial is P(x) =  x³ - 3 x² - 46 x +168

<h2>Have a awesome day✨</h2>

5 0
3 years ago
A periscope is 5 feet above the surface of the ocean. Through it can be seen a ship that rises to 50 feet above the water. To th
Lyrx [107]
<span> Sketch this, assuming the Earth is a sphere with radius R, so a plane slice through the periscope, ship and center of the Earth is a circle of radius R. Draw the lines out from the center (O) of the circle to point A at the top of the periscope and point B at the top of the ship. so that line AB is tangent to the circle at point C. That makes triangles OAC and OBC right triangles, each having the right angle at C. </span>

<span>From the problem, the lengths OA = R+5, OC = R, and OB=R+50. Label the lengths AC = p and BC= q, then use Pythagoras: </span>

<span>R² + p² = (R + 5)² </span>
<span>R² + q² = (R + 50)² </span>

<span>Solve those: </span>
<span>p² = (R + 5)² - R² = 10R - 25 </span>
<span>p = √(10R + 25) </span>

<span>q² = (R + 50)² - R² = 100R + 2500 </span>
<span>q = √(100R + 2500) </span>

<span>Find a good value for the radius R (in ft. units!) and calculate. The distance from periscope top to ship top is (p + q) feet. Convert that to miles for your answer.</span>
8 0
3 years ago
Suppose you are given that a=5 and 4a + b=6. What can you prove by using these statements and the substitution property?
NARA [144]
A = 5
4a + b = 6

4(5) + b = 6
20 + b = 6
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b = - 14 <=== u can prove that b = -14
5 0
3 years ago
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