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Murrr4er [49]
3 years ago
12

Put these algebraic expressions into verbal expressions and Coefficient/Variables

Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

1. 2 subtracted from x² equals 5

2. The product of x and 5 subtracted from 3 is -10

Step-by-step explanation:

1.) x² - 2 = 5

2 subtracted from x² equals 5

2.) 3 - 5x = -10

The product of x and 5 subtracted from 3 is -10

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  Write the equation of the parabola in vertex form.     With a vertex (–4, 3), and a point (4, 131)
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Vertex form : y=2(x+4)^2 + 3
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Write an expression for the calculation 4 added to 12 times 19 plus 24
harina [27]

Answer:

4 + 12 × 19 + 24

Step-by-step explanation:

Hullo!

Words like "added or sum", represent addition.

Words like "times", represent multiplication.

Words like "subtracted or took away", represent subtraction.

Words like "divided or split up", represent division.

Therefore, we can express the equation 4 added to 12 times 19 plus 24 can be rewritten as  \boxed{4 + 12 \cdot 19 + 24} in expression format.

Hope this helps!

8 0
2 years ago
Answer ASAP. Please give correct answer. (Involves a bunch of circles and trig identities)
iren [92.7K]

Answer:

45.40

Step-by-step explanation:

First of all, the shape of rope is not a parabola but a catenary, and all catenaries are similar, defined by:

y=acoshxa

You just have to figure out where the origin is (see picture). The hight of the lowest point on the rope is 20 and the pole is 50 meters high. So the end point must be a+(50−20) above the x-axis. In other words (d/2,a+30) must be a point on the catenary:

a+30=acoshd2a(1)

The lenght of the catenary is given by the following formula (which can be proved easily):

s=asinhx2a−asinhx1a

where x1,x2 are x-cooridanates of ending points. In our case:

80=2asinhd2a

40=asinhd2a(2)

You have to solve the system of two equations, (1) and (2), with two unknowns (a,d). It's fairly straightforward.

Square (1) and (2) and subtract. You will get:

(a+30)2−402=a2

Calculate a from this equation, replace that value into (1) or (2) to evaluate d.

My calculation:

a=353≈11.67

d=703arccosh257≈45.40

7 0
2 years ago
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