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3 years ago

Complete the statements. f(4) is f(x) = 4 when xis

Mathematics

2 answers:

inessss [21]3 years ago

6 0

Think about this as a table of values where domain is the x values and range is the y values.

f(4) wants the y-value when the x-value is 4

f(4) = 1/2

The second question wants us to find the x-value when f(x) also known as the y-value is 4.

f(x) = 4

x = 8

answers: 1/2, 8

FrozenT [24]3 years ago

5 0

Answer: First Box 1/2 - Second Box 8

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A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh

andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

8 0

3 years ago

Find the surface area of a cone with radius 14.2 inches and slant height 24.1 inches.

ololo11 [35]

Answer:

1708.58658058

Step-by-step explanation:

Total surface area formula = (π×r²)+(π×r×s)

r = radius

s = slant height

So we substitute the values into the formula (π×r²)+(π×r×s)

(π×14.2²)+(π×14.2×24.1) = 1708.58658058

8 0

3 years ago

4. 927 is divisible by 3 and 9

Serga [27]

4.true
5.false
6.true
7.true
8.true

3 0

3 years ago

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Work out the area of triangle give your answer to 1 decimal place

forsale [732]

<u>Given</u>:

Given that the triangle.

Let the length of the side a be 10 cm.

Let the length of the side b be 13 cm.

Let the measure of ∠C is 105°

We need to determine the area of the triangle.

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

$A=\frac{1}{2} a b \ sin \ c$

Substituting a = 10, b = 13 and ∠C = 105°, we get;

$A=\frac{1}{2}(10)(13) \ sin \ 105$

Simplifying, we get;

$A=\frac{1}{2}(10)(13)(0.966)$

$A=\frac{1}{2}(125.58)$

$A=62.79 \ cm^2$

Rounding off to 1 decimal place, we have;

$A=62.8 \ cm^2$

Thus, the area of the triangle is 62.8 cm²

7 0

3 years ago

Write an algebraic expression to represent: A number (n) added to 7

victus00 [196]

Answer:

7+n

x-12

i think this is right

5 0

2 years ago

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