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3 years ago

Determine whether each mapping represents a function. Explain your reasoning.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

4 0

Answer:

The first picture is a function and the second picture is not.

Step-by-step explanation:

Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.

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Please help me !!!!!!!!!!

maria [59]

Answer:

$EF=6$

Step-by-step explanation:

In this problem, one is given a circle with two secants (that is a line that intersects a circle at two points). One is given certain measurements, the problem asks one to find the unknown measurements.

The product of the lengths theorem gives a ratio between the lengths in the secants. Call the part of the secant that is inside the circle (inside), and the part of the secant between the exterior of the circle and the point of intersection of the secants (outside). The sum of (inside) and (outside) make up the entire secant, call this measurement (total). Remember, there are two secants, ( $secant_1$ ) and ( $secant_2$ ) in this situation. With these naming in mind, one can state the product of the length ratio as the following:

$\frac{total_1}{outside_2}=\frac{total_2}{outside_1}$

Alternatively, one can state it like the following ratio:

$\frac{inside_1+ouside_1}{outside_2}=\frac{inside_2+outside_2}{outside_1}$

Apply this ratio to the given problem, substitute the lengths of the sides of the secants in and solve for the unknown.

$\frac{EF+FG}{HG}=\frac{SH+HG}{FG}$

$\frac{2x+4}{5}=\frac{x+5}{4}$

Cross products, multiply the numerator and denominators of opposite sides of the fraction together,

$\frac{2x+4}{5}=\frac{x+5}{4}$

$4(2x+4)=5(x+5)$

Simplify,

$4(2x+4)=5(x+5)$

$8x+16=5x+25$

Inverse operations,

$8x+16=5x+25$

$3x+16=25\\3x=9\\x=3$

Substitute this value into the equation given for the measure of (EF),

$EF=2x\\x=3\\\\EF=2x\\=2(3)\\=6$

6 0

3 years ago

TIME REMAINING:

Scorpion4ik [409]

C would show a proportional relationship based on the point graphed because it can be simplified into c which this is not true for any of the other points

5 0

3 years ago

A small plane circles the airport at Daniel Field at 1500 feet altitude before starting to land. If the airport runway is 10,000

klio [65]

Small plane circles the airport the angle of depression would be 180

7 0

3 years ago

The surface area of a rectangular prism is 2210 cm2. Two of the dimensions are 5 cm and 10 cm. Find the measure of the other dim

Vlad [161]

The surface area of a rectangular prism is 2210 cm^2 Then the other dimension is 70.3 cm

<h3>Solution:</h3>

Given that surface area of rectangular prism is 2210 square centimeter

Also given that two of dimensions are 5 cm and 10 cm

To find: other dimension

The total surface area of the rectangular prism is gievn as:

$\text {Total surface area }=2(lb+b h+h l)$

Where, "l" is the length and "b" is the breadth and "h" is the height

The given values are: l = 5cm and b = 10cm

On substituting the given values in formula we get,

$\begin{array}{l}{2210=2(l \times b+b \times h+h \times l)} \\\\ {2210=2(5 \times 10+10 \times h+h \times 5)} \\\\ {2210=2(50+10 h+5 h)} \\\\ {1105=50+15 h} \\\\ {1055=15 h} \\\\ {h=70.3}\end{array}$