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Mandarinka [93]
3 years ago
9

From January to June, a company spent $60.00 per month on office supplies. In July, the price of office supplies increased by 15

% and remained the same for the rest of the year. How much did the company spend on office supplies for the year?
Mathematics
2 answers:
pochemuha3 years ago
5 0
The company would spend $69.00 a month on office supplies for the rest of the year.
Sunny_sXe [5.5K]3 years ago
5 0
For august -through- december the company spent $345
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6. Two points in the plane, ????(19,4) and ????(19,−6), represent the endpoints of the diameter of a circle.
dusya [7]

Answer:

Radius = 5

center is (19,-1)

(x-19)^2(y+1)^2= 25

Step-by-step explanation:

Two points in the plane, (19,4) and  (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)

(19,-1)

Equation of the circle

(x-h)^2(y-k)^2= r^2

h,k is the center and r is the radius

h=19 and k=-1 , r=5

(x-19)^2(y+1)^2= 25

8 0
3 years ago
show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R


           

8 0
3 years ago
Find the value for x
Delvig [45]

Answer:

X = 6°

Step-by-step explanation:

In a set of parallel lines, the opposite angles and corresponding angles are similar. Since the opposite angle of 110° is the corresponding angle of 19x - 4, you can conclude that 19x - 4 = 110° ⇒ 19x = 114° ⇒ x = 6°.

4 0
3 years ago
85% of £30
sergij07 [2.7K]
Re read the question again just in case, try and put £25.50
But I got 25.5 too
4 0
3 years ago
Six Less than four times a number is<br> -70
valkas [14]

The answer is 286

Step-by-step explanation:

70 x 4 = 280 plus 6 equals 286

7 0
2 years ago
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