Answer:
-9
Step-by-step explanation:
This equation is written in slope-intercept form. <em>-9 </em>represents the y-intercept, and <em>x </em>represents the slope, which is positive one over one.
Answer:
D=-4<0, the equation has no real solutions, it has two imaginary solutions.
Step-by-step explanation:
The quadratic equation
has coefficients
a=1,
b=4,
c=5.
The discriminant D is the expression

Hence,

Since the discriminant is negative, the equation has no real solutions, it has two imaginary solutions.
The image of the question is attached below.
Given:
m∠DAC = 20° and m∠BCA = 30°
m∠ABC = 90° and m∠CDA = 90°
To find:
The value of x and y.
Solution:
In right triangle ABC,
m∠BAC = x° + 20°
Sum of the interior angles of a triangle = 180°
m∠BAC +m∠ABC + m∠BCA = 180°
x° + 20° + 90° + 30° = 180°
x° + 140° = 180°
Subtract 140° from both sides.
x° + 140° - 140° = 180° - 140°
x° = 40°
In right triangle ADC,
m∠ACD = y° + 30°
Sum of the interior angles of a triangle = 180°
m∠ACD +m∠CDA + m∠DAC = 180°
y° + 30° + 90° + 20° = 180°
y° + 140° = 180°
Subtract 140° from both sides.
y° + 140° - 140° = 180° - 140°
y° = 40°
The value of x is 40 and y is 40.
Answer:
9 teenagers
Step-by-step explanation:
12/20 = x/15
180/20 = x
9 = x
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9 teenagers would take to finish the large pizza in 15 mins
Step-by-step explanation:
4x=3×8
4x=24
x=24÷4
x=6