Answer:
See below
Step-by-step explanation:
y=-2x + 3
y = -2*3x
Both equations are lines.
Two lines will intersect at one point
I will set the two equations equal and solve for the x coordinate.
-2x+3 = -6x
Add 2x from each side
3 = -4x
Divide by -4
-3/4 = x
Now find y
y = -6x
y = -6(-3/4)
y = 18/4 = 9/2
The solution is ( -3/4, 9/2)
So all you need to do in order to find the sum is add so 185+66=251
Answer:
large triangle:
base = 6.64 cm
hypotenuse = 8.31 cm
small triangle:
base = 4 cm
Step-by-step explanation:
large triangle:
tan 37 = 5/base
0.7536 = 5/base
base = 6.64 cm
using the Pythagorean theorem:
hypotenuse² = 5² + 6.64²
hypotenuse² = 25 = 44.02 = 69.02
hypotenuse = 8.31 cm
small triangle:
using the Pythagorean theorem:
base² = 5² - 3²
base² = 25 - 9 = 16
base = 4 cm
Answer:
Step-by-step explanation:
Angles around a point add up to 360
x + 53 + 37 + 139 = 360
x + 229 = 360
x = 360 - 229
x = 131
Hey there!
<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>
x = -4 or x = 2 ✅
<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0
The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :
- If b² - 4ac > 0 , There are 2 real-number solutions
- If b² - 4ac = 0 , There is 1 real-number solution.
- If b² - 4ac < 0 , There is no real-number solution.
The <em><u>roots</u></em> of the equation are determined by the following calculation:
Here, we have :
1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>
b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36
b² - 4ac = 36 > 0 ; The equation admits two real-number solutions
2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>
▪️ (1)
▪️ (2)
>> Therefore, your answers are x = -4 or x = 2.
Learn more about <u>quadratic equations</u>:
brainly.com/question/27638369