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3 years ago

The length of the hypotenuse of a 30-60-90 triangle is 4 find the longer leg

Mathematics

1 answer:

Kay [80]3 years ago

5 0

The longer leg to the triangle should be 90 because its the largist angle if that is what it is askng

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What is the ordered pair of your location if you start at (0, 0), move 2 units up, and then move 3 units right?

maksim [4K]

Answer:

(3,2)

Step-by-step explanation:

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2 years ago

Which expression has the smallest value? A. |15| B. |-24| C. |-31| D. |42|

Dennis_Churaev [7]

-31 Because it is a negative number
Explaination I’m smart Thank me cause I’m right

6 0

3 years ago

Read 2 more answers

How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

Solution:

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0

3 years ago

PLEASE ANSWER I GIVE BRAINLIEST write an equation of a line with m=6 that passes through (7,-5)

iren [92.7K]

Answer:

y = 6x - 47

6x - y - 47 = 0

Step-by-step explanation:

$y - y_{1} = m(x - x_{1} ) \\ \\ plug \: x_{1} = 7 \\ y_{1} = - 5 \\ m = 6 \: in \: the \: above \: equation \\ y - ( - 5) = 6(x - 7) \\ \\ y + 5 = 6x - 42 \\ \\ y = 6x - 42 - 5 \\ \\ y = 6x - 47 \\ \\ or \: 6x - y - 47 = 0$

7 0

2 years ago

I need help, with these two answers..

8090 [49]

download answer here

5 0

2 years ago