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Anna71 [15]
3 years ago
9

32) (a)-(c) pre calculus

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0
Well, remember we can't take the square root of a negative

so we see that we have \sqrt{1-x^2}
so find those values that take sqrt of a negative and restrict hem from the domain
anny value greater than 1 and less than -1
so domain is from -1 to 1, including those numbers
D=[-1,1]

a. D=[-1,1] or from -1 to 1 is domain


b. for a TI-84, go to y-editor then input 4x \sqrt{1-x^2} for y1

c. for a TI-84, click 2nd then window (gets to tbset) scrol down to set Δx to 0.1, then cilick 2nd again then click graph (to select table) and scroll down till you see that value of y that is the biggest, that value is x=0.7



A. domain is from -1 to 1
B. use your brain or google the instructions for your calulator
C. at x=0.7


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A triangle has an area of 56 square units. It's night is 14 units. What is the length of its base?
NNADVOKAT [17]

Answer:

8 units

Step-by-step explanation:

b(14)/2 = 56

14b = 112

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4 0
3 years ago
Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in
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The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces  of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

(50)^{2} = (14)^{2} + (48)^{2}

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm  lateral height = 35cm

(37)^{2} = (35)^{2}+ (6)^{2}

1369 = 1225 +36

1369 \neq 1261

Model 3

Diagonal = 60cm, radius = 20cm  lateral height = 40cm

(60)^{2} = (20)^{2} + (40)^{2}

3600 = 400 + 1600

3600 \neq 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

(30)^{2} = (24)^{2} + (9)^{2}

900 = 576 + 81

900 \neq 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion,  the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

#SPJ1

5 0
1 year ago
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Two triangles are said to be congruent, if three sides of one triangle are equal to the three corresponding sides of another tri
Natasha2012 [34]

Answer:

Side-Side-Side (SSS) Rule

8 0
3 years ago
Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form? mc010-1.jpg mc010-2.jpg y = 2(x + 7)2 – 73 y = (x + 7)2 – 24
MArishka [77]
Y=(x+3)²+(x+4)²
y=x²+6x+9+x²+8x+16
y=2x²+14x+25
y=2(x²+7x+3.5²-3.5²)+25
y=2(x+3.5)²-2*3.5² +25
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7 0
3 years ago
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Which answer is correct ?
Radda [10]

Answer:

C the table and the equation

Hope this helps :)

7 0
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