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jok3333 [9.3K]
3 years ago
11

What is the vertex of y-4x^2-16x+23?

Mathematics
1 answer:
Tanya [424]3 years ago
6 0
Y=4 (x+ 17/8)^2 - 657/16 hope this helps you out mate =)
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A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 3 feet at the center and
USPshnik [31]

Answer:

Step-by-step explanation:

Given

Fireplace is in the form of semi-ellipse  with height of 3 ft from center

Length of base=8 ft

if the arch is in the form of ellipse then it can be considered as horizontal ellipse with 2 a and 2 b be length of major and minor axis

2 a =8

a=4 ft

If contractor cover the whole base

then total length of string=2a =8 ft

(b)String should be nailed at focus

focus of ellipse is a e

where e=eccentricity

e=\sqrt{1-(\frac{b}{a})^2}

e=\sqrt{1-(\frac{3}{4})^2}=\frac{\sqrt{7}}{4}

Focus =ae =\sqrt{7}

Thus string should be nailed at 2.64 m from center

8 0
3 years ago
As a car moves along a section of the roadway in a mountain pass, it passes through a horizontal run of 950 feet and through a v
lbvjy [14]

Answer:

I believe it will be 55.9 or 56 along the roadway

Step-by-step explanation:

Hope this Helped

5 0
3 years ago
Solve the equation 4x^2-17x-15=0
Mnenie [13.5K]
4x^2-17x-15=0\\
4x^2-20x+3x-15=0\\
4x(x-5)+3(x-5)=0\\
(4x+3)(x-5)=0\\
x=-\frac{3}{4} \vee x=5
8 0
4 years ago
Read 2 more answers
The Ivring Berlin Learning Center would like a possible net profit of $650,000 on its new resource manual it sells to schools. T
vazorg [7]

Answer:

Selling price should be $21 per unit.

Step-by-step explanation:

Cost price of manual = Fixed price + variable cost per package×Number of units sold

= 780000+19.85×1250000 = $25592500

Now we know Learning center wants a profit = $650000

Then profit = sale price - cost price

650000=sale price - 25592500

Sale price = 650000+25592500 = $26242500

This is the sale price of 1250000 units then selling price per unit should be = Total selling price/Number of units sold

= $26242500/1250000 =20.994 or $21

Selling price should be $21 per unit.

3 0
3 years ago
Find the surface area of the cylinder. 7 cm 5 cm The surface area of the cylinder is nothing cmsquared.
chubhunter [2.5K]

Step-by-step explanation:

surface area of cylinder =

2πr(r+h)

2×<u>2</u><u>2</u>×7(7+5)

7

44(7+5)

44(12)

528

4 0
3 years ago
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