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3 years ago

Find the equations of the tangent lines to x2+y2=1 at x=0, x=1 and x=35.

1 answer:

4 0

Assuming the equation is x^2 + y^2 = 1, then that's a circle, with radius 1, centered on the origin [0,0].

So there are two tangents at x = 0. They are y = 1, and y = -1 (horizontal lines).

There is one tangent at x = 1. It is x = 1 (a vertical line).

There is no tangent at x = 35, because the original equation has no solution at x = 35.

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Steven just got a new summer job painting fences in his neighborhood. He will be paid $7.25 an hour. His first customer paid him

mote1985 [20]

Answer:

a). The equation; 7.25 h-36.25=0

b). total number of hours Steven work=5 hours

Step-by-step explanation:

Part A

The expression for the total money earned is as follows;

T=E×h

where;

T=total earnings

E=earnings per hour

h=number of hours worked

In our case;

T=$36.25

E=$7.25

h=h

replacing;

36.25=(7.25×h)

36.25=7.25 h

The equation would be; 7.25 h=36.25, or 7.25 h-36.25=0

Part B

7.25 h=36.25

h=36.25/7.25

h=5

total number of hours Steven work=5 hours

5 0

2 years ago

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.

klio [65]

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12 (answer)

HOPE THIS HELPED ;3

5 0

3 years ago

Carla and Jonah are working together to determine if quadrilateral CDEF with coordinates C(2, 3), D(1, 2), E(4, 1), and F(5, 3)

alukav5142 [94]

Answer:

Option (B)

Step-by-step explanation:

CDEF is a quadrilateral having vertex C(2, 3), D(1, 2), E(4, 1), F(5, 3).

To prove that the given quadrilateral has a right angle, we will use the property of perpendicular lines.

$m_1\times m_2=-1$

where $m_1$ and $m_2$ are the slopes of the consecutive sides of the quadrilateral.

Since CD and DE are the consecutive sides of the quadrilateral, Carla is on the right track by finding the slopes of CD and DE.

Since Jonah is finding the slopes of opposite sides so he will not be able to use the property of perpendicular lines.

Option (B) will be the answer.

3 0

3 years ago

Find the general indefinite integral. (use c for the constant of integration.) (7x2 + 8x−2) dx

vichka [17]

:) Well, I dunno about anyone else but this question makes my head spin!

4 0

3 years ago

Factorize the following using identities 196p²– 121p²

Tasya [4]

Answer:

75p²

Step-by-step explanation:

Given data

We are given the expression

(196p²– 121p²)

We can see the p is common in both terms

=p²(196-121)

=p²(75)

=75p²

Hence the factorized form is 75p²

6 0

2 years ago