We have x+5y=3 => x= 3-5y
So 3y+2=4x
<=>3y+2=4(3-5y)
<=>3y+2=12-20y
<=>3y+20y=12-2
<=>23y=10
<=>y=10/23 => x=3-5(10/23)=19/23
Ok done. Thank to me :>
Answer:
OD) 4.9 units, 14.2 units
<em> The lengths of the legs of a right triangle</em>
<em> </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the Acute angle is 19°
And hypotenuse (AC ) = c= 15
We will take cos∝ = ![= \frac{adjacent side}{hypotenuse}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7Badjacent%20side%7D%7Bhypotenuse%7D)
⇒ ![cos19 = \frac{BC}{15}](https://tex.z-dn.net/?f=cos19%20%3D%20%5Cfrac%7BBC%7D%7B15%7D)
⇒ BC = 15 × cos 19°
⇒ BC = 15 ×0.9455
⇒ BC = 14.18
The length of the one leg of the right angle triangle
BC = b = 14.18≅ 14.2
We know that ΔABC is a right angle triangle
![c^{2} = a^{2} + b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D)
a² = c² - b²
= 15² - (14.18)²
= 225 - 201.07
= 23.93
a² = 23.93
a = √23.93 = 4.89≅4.9
<u><em>Final answer:-</em></u>
<em> The lengths of the legs of a right triangle</em>
<em> </em>a = 4.9units , b = 14.2units and hypotenuse 'c' = 15
Answer:
The slope is 3, and the y-intercept is -7
Step-by-step explanation:
This is written in y = mx + b form, where m is the slope, and b is the y-intercept.
~theLocoCoco
For 4. (Apples to balloons) it is really simple. All you have to do is count the amount of balloons and apples and turn into a ratio, which is a basically a fraction. The answer for that would be 4:2
For the other 4, im not sure what the answer is as i cant really see it that well.
3 and 3 are pretty easy too. All you need to do is find a common factor. For the first number 3, 6 and 8 can both be divided by 2. The will turn it in 3/4, which is as simple as the number can get. The next one can also be divided by 2, which will turn it into 5/7. Once again, this is as simple as it can get.
Answers:
3. 3/4
3. 5/7
4. ? (couldn't see it)
4. 4:2