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expeople1 [14]
3 years ago
11

Does anyone know how to solve this inequality algebraic-ally:

Mathematics
2 answers:
Phoenix [80]3 years ago
7 0
Answer:

[-1/2,3]

Explanation:

Solve the Inequality by finding the roots and creating test intervals.

Note, the answer was provided in Intervals Notation form.
Snezhnost [94]3 years ago
3 0

Answer:

-1/2 ≤ x ≤ 3

Step-by-step explanation:

hope that helps

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Semielliptical Arch Bridge An arch for a bridge over a highway is in the form of half an ellipse. The top of the arch is 20 feet
photoshop1234 [79]

Answer:

the span of the bridge is 73.7 feet

Step-by-step explanation:

The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:

\frac{(x-h)^{2} }{b^{2} } + \frac{(y-k)^{2} }{a^{2} }= 1 a>b

where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis

For this problem, the center of the ellipse (h,k) = (0,0)

Therefore:

\frac{(x)^{2} }{b^{2} } + \frac{(y)^{2} }{a^{2} }= 1

The top of the arch is 20 feet above the ground level (the major axis), therefore a=20

length of the major axis = 2a= 2*20 = 40

\frac{x^{2} }{b^{2} } + \frac{y^{2} }{20^{2} }= 1\\\frac{x^{2} }{b^{2} } + \frac{y^{2} }{400 }= 1

The coordinates of the ellipse (x,y) = (28,13)

\frac{28^{2} }{b^{2} } + \frac{13^{2} }{400 }= 1

\frac{28^{2} }{b^{2} } + 0.4225= 1

\frac{784 }{b^{2} } = 0.5775

b² ≅ 1358

b≅36.85

Length of minor axis (2b) = 73.7 feet.

the span of the bridge is 73.7 feet

7 0
3 years ago
Which is TRUE about ALL expressions?
Zanzabum

Expressions do not have an equal sign (although they can have operators such as plus or minus).

2x+1 is an expression.

2x+1=1 is an equation since it has an equal sign.

8 0
3 years ago
Find the sum: -2.75+(-3.25)+5
dedylja [7]
The answer is -1. Hope this helps :)
7 0
3 years ago
Read 2 more answers
Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs
Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}

AB \approx 7.616

BC

BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}

BC \approx 6.325

AC

AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}

AC \approx 5.831

Now we determine the area of the triangle by Heron's formula:

A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)} (1)

s = \frac{AB+BC + AC}{2} (2)

Where:

A - Area of the triangle.

s - Semiparameter.

If we know that AB \approx 7.616, BC \approx 6.325 and AC \approx 5.831, then the area of the triangle is:

s \approx 9.886

A = 18

The area of the triangle is 18 square units.

7 0
2 years ago
a student claims that 8 to the third power times 8 to the -5 power is greater than 1 explain whether the student is correct or n
nika2105 [10]
I think he is not correct because there is negative number so it can't be greater than one
7 0
3 years ago
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