The angles are 27°, 27° and 126°
let the 2 equal angles be x then the third angle = 3x + 45
sum of 3 angles = x + x + 3x + 45 = 5x + 45 = 180
hence 5x = 180 - 45 = 135⇒ x= 135/5 = 27
the angles are 27°, 27° and 3x + 45 =81 + 45 = 126°
Answer:
y = (4/3)x - 50
Step-by-step explanation:
Step 1 :
Identify the independent and dependent variables.
The independent variable (x) is the square footage of floor space.
The dependent variable (y) is the monthly rent.
Step 2 :
Write the information given in the problem as ordered pairs.
The rent for 600 square feet of floor space is $750 :
(600, 750)
The rent for 900 square feet of floor space is $1150 :
(900, 1150)
Step 3 :
Find the slope.
m = (y₂ - y₁) / (x₂ - x₁)
Substitute (600, 750) for (x₁, y₁) and (900, 1150) for (x₂, y₂).
m = (1150 - 750) / (900 - 600)
m = 400 / 300
m = 4/3
Step 4 :
Find the y-intercept.
Use the slope 4/3 and one of the ordered pairs (600, 750).
Slope-intercept form :
y = mx + b
Plug m = 4/3, x = 600 and y = 750.
750 = (4/3)(600) + b
750 = (4)(200) + b
750 = 800 + b
-50 = b
Step 5 :
Substitute the slope and y-intercept.
Slope-intercept form
y = mx + b
Plug m = 4/3 and b = -50
y = (4/3)x + (-50)
y = (4/3)x - 50
Answer:
5/4
Step-by-step explanation:
start from 0,0 then go up 5 and right 4
Please write this polynomial as P(x) = <span>-2x^4+24x^2-10, using " ^ " to denote exponentiation.
This is a fourth degree polynomial, since the highest power of x is 4. Ordinarily, a fourth degree poly would have 5 terms, but here two of the coefficients of the powers of x are zero, leaving only 3 terms.
</span>The lead coeff. of P(x) = -2x^4+24x^2-10 is -2.
The constant terms is -10. The exponent of x here is zero (0).
The degree of the middle term is 2 (see 24x^2, above)
Would you please post your other questions separately. Thank you.
