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Sindrei [870]
2 years ago
12

2 questions! area of plane and composite figures

Mathematics
1 answer:
VikaD [51]2 years ago
4 0
Find the base and height of each side, subtract the triangle from the trapezoid then find the area of the parrellogram and add the subracted one and the obtuse square
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Kendall ate g out of 11 gumdrops. Write an expression that shows how many gumdrops Kendall has left.
liq [111]

Answer:

11-g

Step-by-step explanation:

You would have to subtract the number of gumdrops Kendall ate (g) from the number of gumdrops they had in the beginning (11). So the expression would be 11-g

8 0
3 years ago
Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, what
Nat2105 [25]

Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .

<u>Step-by-step explanation:</u>

Here we have , Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, We need to find what coins did Andrea's brother give her and what coins did Andrea start with. Let's find out:

Andrea has some money  , and her brother gives her 7 coins ! worth 23 cents . So , 1 coin worth is :

⇒ \frac{23}{7}

⇒ 3.29cents

Now , she had a total of 73 cents i.e.

⇒ 73 = x+23

⇒ x=50

Initially Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .

3 0
3 years ago
Yana plans to run 1 mile she has run 7/10 of a mile what fraction of a mile does she have left to run
Andre45 [30]

Answer:

3/10

Step-by-step explanation:

7+3= 10 so 7+3=10/10 which is one mile

8 0
3 years ago
5u-2u=..................................................
MAVERICK [17]
It will be 3u good luck
8 0
2 years ago
Find the solutions to x⁴-5x²-36=0 and the x-intercepts of the graph of y=x⁴-5x²-36.
disa [49]

Answer:

The solutions x^4-5x^2-36=0 are x=3,\:x=-3,\:x=2i,\:x=-2i and the x-intercepts of y=x^4-5x^2-36 are x=3,\:x=-3

Step-by-step explanation:

Finding the solutions to x^4-5x^2-36 means finding the roots, a root is where the function is equal to zero.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

To find the roots you need to:

Rewrite the equation with u=x^2 and u^2=x^4

u^2-5u-36=0

Solve by factoring

\mathrm{Break\:the\:expression\:into\:groups}\\u^2-5u-36=\left(u^2+4u\right)+\left(-9u-36\right)

\mathrm{Factor\:out\:}u\mathrm{\:from\:}u^2+4u=u\left(u+4\right)

\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9u-36=-9\left(u+4\right)

u^2-5u-36=u\left(u+4\right)-9\left(u+4\right)

\mathrm{Factor\:out\:common\:term\:}u+4\\\left(u+4\right)\left(u-9\right)

u^2-5u-36=\left(u+4\right)\left(u-9\right)=0

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions to the quadratic equation are:

\:u=-4,\:u=9

Substitute back u=x^2, solve for x

x^4-5x^2-36=(u-9)(u+4)=(x^2-9)(x^2+4)

Apply the difference of squares formula

x^4-5x^2-36=(x^2-9)(x^2+4)=(x-3)(x+3)(x^2+4)

(x-3)(x+3)(x^2+4)=0

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions are:

\:x=3,\:x=-3,\:x=2i,\:x=-2i

Because two of the solutions are complex roots the only x-intercepts are x=3,\:x=-3

3 0
3 years ago
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