MATHEMATICS HIGH SCHOOL

To get from home to work, Felix can either take a bike path through the rectangular park or ride his bike along two sides of the park. How much farther would Felix travel by riding along two sides of the park than he would by taking the path through the park?

Answers

Answer 1

Answer:

Answer:

c=5.9/6(G)

Step-by-step explanation:

first find the 2 distances.

a^2+b^2=c^2 c=2.4+.7

7^2+2.4^2=c^2 c=3.1

.49+5.85=c^2

c^2=6.34

c=√6.34

c=2.51.

next subtract the two distances to find the difference.

c=2.51-3.1

c=.59

so the distance would be .59 which can be rounded up to .60/G

explanation on how I knew the answer.

Im reviewing for the math 8th grade staar.

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Assuming that there are 10 digits used as telephone number and the area code is a fixed 3 digit number. How many numbers could be created?

Answers

Well 10 minus 3 equals 7 so 7 numbers can be created.

Consider the figure above. Starting with the shape in the upper left, identify the figure that has been: -Translated only. -Rotated and translated. -Reflected about the x-axis.

Answers

The figure which is rotated and translated correctly about the x-axis is figure a.

What is graph?

The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

How to form graph of function?

We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.

The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.

Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).

Learn more about function at brainly.com/question/10439235

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Answers:

Figure a has been translated only (translated 9 units to the right)

Figure b has been reflected over the x axis

Figure c has been rotated and translated

=======================================

Explanation:

Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.

Figure b is a result of reflecting over the x axis. The rule used is $(x,y) \to (x,-y)$ . The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)

Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.

Wheels are 1.25 inches in diameter covert the wheels diameter to feet

Answers

Wheels are 1.25 inches in diameter covert the wheels diameter to feet For this process to take place or in order to convert the said measurement to another such as inches to feet, we first have to determine the conversion values for the units asked. Thus,
1. 1 in = 0.0833333 foot

Solution.
a. 1.25 in x 0.0833333 ft / 1 in = 0.1041667 ft

Answer:

0.1041667 (approximation)

Step-by-step explanation:

divide that by 12

At a hot dog stand, they serve regular and footlong hot dogs at a ratio of 3 to 2. Based on this ratio,how many footlong hot dogs will be served if there are a total of 80 hot dogs served

Answers

Answer:

32 foot-long hot dogs will be served

Step-by-step explanation:

The total number of "ratio units" is 3+2 = 5. If 5 units stand for 80 hot dogs, then each ratio unit represents 80/5 = 16 hot dogs.

The number of foot-long hot dogs that will be served is 2×16 = 32.

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.

Answers

To solve a quadratic equation, we use the quadratic formula which is expressed as:

x1 = [-b + √(b²-4ac)] / 2a]
x2 = [-b - √(b²-4ac)] / 2a]

These formulas are used to solve for the values of the roots of the equation given. From the equation,

a = 1
b = -5
c = -4

Substituting the values, we have:

x1 = 5.70
x2 = -0.70

Therefore, the negative real number is -0.70.

The value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4

What is a quadratic equation ?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.