Slope is m given the general formula y=mx+b.
For this equation slope is -2
Answer:
5:6
Step-by-step explanation:
20 divided by 4 = 5
24 divided by 4 = 6
So the ratio is 5:6
Answer: brainliest please
Part 1) Option D
Part 2) Option C
Step-by-step explanation:
we know that
In a Rhombus
Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles
Part 1) What is the measure of angle ?
-----> remember that the diagonals bisect the angles
Part 2) What is the measure of angle ?
Remember that
In a rhombus consecutive angles are supplementary
so
The measure of angle is equal to the measure of angle T divided by
Step-by-step explanation:
Answer:
![\large\boxed{x=\dfrac{9}{8}-\dfrac{\sqrt{109}}{8},\ y=-\dfrac{1}{2}-\dfrac{\sqrt{109}}{18}}\\or\\\boxed{x=\dfrac{9}{8}+\dfrac{\sqrt{109}}{2},\ y=-\dfrac{1}{2}+\dfrac{\sqrt{109}}{18}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3D%5Cdfrac%7B9%7D%7B8%7D-%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B8%7D%2C%5C%20y%3D-%5Cdfrac%7B1%7D%7B2%7D-%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B18%7D%7D%5C%5Cor%5C%5C%5Cboxed%7Bx%3D%5Cdfrac%7B9%7D%7B8%7D%2B%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B2%7D%2C%5C%20y%3D-%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B18%7D%7D)
Step-by-step explanation:
![\left\{\begin{array}{ccc}4x\times9y=7&(1)\\4x-9y=9&(2)\end{array}\right\\\\(2)\\4x-9y=9\qquad\text{subtract}\ 4x\ \text{from both sides}\\-9y=-4x+9\qquad\text{change the signs}\\9y=4x-9\qquad\text{substitute it to (1)}\\\\4x(4x-9)=7\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\(4x)(4x)+(4x)(-9)=7\\(4x)^2-36x=7\\(4x)^2-2(4x)(4.5)=7\qquad\text{add}\ 4.5^2\ \text{to both sides}\\(4x)^2-2(4x)(4.5)+4.5^2=7+4.5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D4x%5Ctimes9y%3D7%26%281%29%5C%5C4x-9y%3D9%26%282%29%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%282%29%5C%5C4x-9y%3D9%5Cqquad%5Ctext%7Bsubtract%7D%5C%204x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C-9y%3D-4x%2B9%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C9y%3D4x-9%5Cqquad%5Ctext%7Bsubstitute%20it%20to%20%281%29%7D%5C%5C%5C%5C4x%284x-9%29%3D7%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%20a%28b%2Bc%29%3Dab%2Bac%5C%5C%284x%29%284x%29%2B%284x%29%28-9%29%3D7%5C%5C%284x%29%5E2-36x%3D7%5C%5C%284x%29%5E2-2%284x%29%284.5%29%3D7%5Cqquad%5Ctext%7Badd%7D%5C%204.5%5E2%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%284x%29%5E2-2%284x%29%284.5%29%2B4.5%5E2%3D7%2B4.5%5E2%5Cqquad%5Ctext%7Buse%7D%5C%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![(4x-4.5)^2=7+20.25\\(4x-4.5)=27.25\to 4x-4.5=\pm\sqrt{27.25}\\\\4x-\dfrac{45}{10}=\pm\sqrt{\dfrac{2725}{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{2725}}{\sqrt{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25\cdot109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25}\cdot\sqrt{109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{5\sqrt{109}}{10}\qquad\text{add}\ \dfrac{45}{10}\ \text{to both sides}\\\\4x=\dfrac{45}{10}\pm\dfrac{5\sqrt{109}}{10}](https://tex.z-dn.net/?f=%284x-4.5%29%5E2%3D7%2B20.25%5C%5C%284x-4.5%29%3D27.25%5Cto%204x-4.5%3D%5Cpm%5Csqrt%7B27.25%7D%5C%5C%5C%5C4x-%5Cdfrac%7B45%7D%7B10%7D%3D%5Cpm%5Csqrt%7B%5Cdfrac%7B2725%7D%7B100%7D%7D%5C%5C%5C%5C4x-%5Cdfrac%7B45%7D%7B10%7D%3D%5Cpm%5Cdfrac%7B%5Csqrt%7B2725%7D%7D%7B%5Csqrt%7B100%7D%7D%5C%5C%5C%5C4x-%5Cdfrac%7B45%7D%7B10%7D%3D%5Cpm%5Cdfrac%7B%5Csqrt%7B25%5Ccdot109%7D%7D%7B10%7D%5C%5C%5C%5C4x-%5Cdfrac%7B45%7D%7B10%7D%3D%5Cpm%5Cdfrac%7B%5Csqrt%7B25%7D%5Ccdot%5Csqrt%7B109%7D%7D%7B10%7D%5C%5C%5C%5C4x-%5Cdfrac%7B45%7D%7B10%7D%3D%5Cpm%5Cdfrac%7B5%5Csqrt%7B109%7D%7D%7B10%7D%5Cqquad%5Ctext%7Badd%7D%5C%20%5Cdfrac%7B45%7D%7B10%7D%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C4x%3D%5Cdfrac%7B45%7D%7B10%7D%5Cpm%5Cdfrac%7B5%5Csqrt%7B109%7D%7D%7B10%7D)
![4x=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 4}\\\\x=\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\\\\\text{Put the values of}\ x\ \text{to (2):}\\\\9y=4\left(\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\right)-9\\\\9y=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}-\dfrac{18}{2}\\\\9y=-\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 9}\\\\y=-\dfrac{1}{2}\pm\dfrac{\sqrt{109}}{18}](https://tex.z-dn.net/?f=4x%3D%5Cdfrac%7B9%7D%7B2%7D%5Cpm%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B2%7D%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%204%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B9%7D%7B8%7D%5Cpm%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B8%7D%5C%5C%5C%5C%5Ctext%7BPut%20the%20values%20of%7D%5C%20x%5C%20%5Ctext%7Bto%20%282%29%3A%7D%5C%5C%5C%5C9y%3D4%5Cleft%28%5Cdfrac%7B9%7D%7B8%7D%5Cpm%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B8%7D%5Cright%29-9%5C%5C%5C%5C9y%3D%5Cdfrac%7B9%7D%7B2%7D%5Cpm%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B2%7D-%5Cdfrac%7B18%7D%7B2%7D%5C%5C%5C%5C9y%3D-%5Cdfrac%7B9%7D%7B2%7D%5Cpm%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B2%7D%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%209%7D%5C%5C%5C%5Cy%3D-%5Cdfrac%7B1%7D%7B2%7D%5Cpm%5Cdfrac%7B%5Csqrt%7B109%7D%7D%7B18%7D)
If your just figuring out how much the car depreciated just by driving off the lot new...1st year.
$30,000×.30=$9,000
$30,000- $9,000=$21,000.
just take the brand new value of the car multiplied by the .30% of the 1st depreciation...take that answer ($9,000) and subtract it from your orginal value of $31,000.
which gives you $21,000