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3 years ago

Consider each statement about finding the measurements of triangles. Choose True or False for each statement.

Mathematics

1 answer:

dlinn [17]3 years ago

8 0

Answer:

Step-by-step explanation:

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Triangle PSV is shown on the coordinate grid.

Elden [556K]

Answer:

The slope of PV is -4. i.e. $m=-4$

Step-by-step explanation:

Considering the triangle PSV as shown on coordinate grid

From the coordinate grid, it is clear that:

The coordinates of P vertex is (2, 4)

The coordinates of V vertex is (3, 0)

The slope of PV can be used using the slope formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:4\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)$

$m=\frac{0-4}{3-2}$

$m=-4$

Therefore, the slope of PV is -4. i.e. $m=-4$

Keywords: slope, coordinate grid

Learn more slope between two points from brainly.com/question/1128277

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3 0

3 years ago

Read 2 more answers

. You deposit $10,000 in an account that pays 6.92% annual interest. Find the balance after 5 years if the interest is compounde

leva [86]

Answer:

Step-by-step explanation:

The percent is 6.92%. Make that a decimal, and it's 0.0692. To make it go up instead of down, change it to 1.0692. Now if you multiply a number with 1.0692, the number will grow by 6.92%.

10,000 x 1.0692 = 10,692 (1st year)

10,692 x 1.0692 = 11,431.8864 (2nd year)

11,431.8864 x 1.0692 = 12,222.97293888 (3rd year)

12,222.97293888 x 1.0692 = 13.068.802666250496 (4th year)

13.068.802666250496 x 1.0692 = 13,973.1638107550303232 (5th year)

13,973.1638107550303232 = $13.963.16 (5th year total in $)

4 0

4 years ago

Solve the equation exactly overbthe interval [0,360)<br><br> Sin^2x-cos^2x=0

trasher [3.6K]

$\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\
-----------------------------\\\\$

$\bf sin^2(x)-cos^2(x)\implies sin^2(x)-[1-sin^2(x)]=0
\\\\\\
sin^2(x)-1+sin^2(x)=0\implies 2sin^2(x)=1\implies sin^2(x)=\cfrac{1}{2}
\\\\\\
sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies \measuredangle x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\iff \measuredangle x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right)
\\\\\\
\measuredangle x=
\begin{cases}
\frac{\pi }{4}\\\\
\frac{3\pi }{4}\\\\
\frac{5\pi }{4}\\\\
\frac{7\pi }{4}
\end{cases}$

8 0

3 years ago

Find SX if SM=6x-3 and XM=4x-8

Natali [406]

Answer:

10x -11

Step-by-step explanation:

SX =SM + MX

= 6x-3 + 4x-8

Combine like terms

= 10x -11

8 0

3 years ago

Read 2 more answers

Which number has an absolute value that is equal to the absolute value of 32?

Gennadij [26K]

Answer:

-32

Step-by-step explanation:

The absolute value of a number is its distance from 0. Since distance is always positive the absolute value is the same number but positive. So the absolute value of -32 and 32 would both be 32 because they have the same distance from 0.

6 0

3 years ago