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dalvyx [7]
3 years ago
6

Evaluate the expression w^2 - v + 1 for w = -2 and v = -8 a. -3 b. -11 c. 13 d. 5

Mathematics
2 answers:
beks73 [17]3 years ago
8 0
The answer will be C
wel3 years ago
6 0

Answer:

I think the answer is C. 13.

Step-by-step explanation:

(-2)^2-(-8)+1

4+8+1

12+1

13

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We are interested in the dimensions of a certain rectangle. this rectangle has length twice the side of the square and width thr
Mila [183]
Area of square = s^2
Area of Rectangle = lw
l = 2s

w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
8 0
3 years ago
(x+1)(x+8)=<br><br><br> can somebody help me on this
goblinko [34]
X^2+8x+x+8 simplifies to x^2+9x+8
8 0
3 years ago
The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
2 years ago
Read 2 more answers
Need help on this question
Sedaia [141]

Answer:

A

Step-by-step explanation:

Hey There!

So these triangles are congruent so segment CD is equal to segment DB

so to find x we use the equation

7x+10=10x+7

now we solve for x

step 1 subtract each side by 7

10-7=3

7-7 cancels out

now we have 7x+3=10x

step 2 subtract each side by 7 x

10x-7x=3x

7x-7x= cancels out

now we have

3x=3

step 3 divide each side by 3

3/3=1

3/3 cancels out

now we have

x=1

3 0
2 years ago
Read 2 more answers
What is the interquartile range of this data set 2,5,9,1118,30,42,55,58,73,81
kogti [31]

Answer:

49

Step-by-step explanation:

If so  the inter quartile range = 58 - 9 = 49

5 0
3 years ago
Read 2 more answers
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