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3 years ago

Daily Distance Larry Biked (Km)

Mathematics

1 answer:

notsponge [240]3 years ago

5 0

Answer:

The most common distance that Larry biked was of 6 Km.

Step-by-step explanation:

The most common distance that Larry biked is the number, in Km, which appears most frequently in this table.

The number which appears the most frequently is:

6 km

This means that the most common distance that Larry biked was of 6 Km.

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Bird and reptiles both lay hard shelled eggs Birds and fish have jaws birds

Mashcka [7]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Write a rule for the linear function whose graph has slope m and contains the given point. m = 3; (-2, -2)

gregori [183]

Answer:

Step-by-step explanation:

y+2 = 3 * (x+2)

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3 years ago

For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0

3 years ago

How to solve this problem

nevsk [136]

Let C be the center of the circle. The measure of arc VSU is $2+114x$ , so the measure of the minor arc VU is $360-(2+114x)=358-114x$ . The central angle VCU also has measure $358-114x$ .

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

$m\angle VCU+2m\angle CUV=180$