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Alex Ar [27]
2 years ago
12

Use the distributive property to find the value of x.

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
5 0

Answer:

1.5

Step-by-step explanation:

-1.2(3-×)=-1.8

-3.6+1.2×=-1.8

1.2×=3.6-1.8

1.2×=1.8

1.2/1.2×=1.8/1.2

×=1.5

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Write an equation of the line that passes through each points (5,6) (3.4)
ioda

Answer:

y = x + 1.

Step-by-step explanation:

Start by finding the slope of this line.

If a slanting line goes through (x_{0},\, y_{0}) and (x_{1},\, y_{1}), where x_{0} \ne x_{1}, the slope of this line would be:

\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}.

The line in this question goes through (5,\, 6) and (3,\, 4). Hence, the slope of this line would be:

\begin{aligned}m &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{6 - 4}{5 - 3} \\ &= 1\end{aligned}.

If a slanting line with a slope of m and goes through the point (x_{0},\, y_{0}), the equation of this line in the point-slope form would be:

y - y_{0} = m,\, (x - x_{0}).

For the line in this question, the slope is m = 1. Take (5,\, 6) as the chosen point on this line. The point-slope form equation of this line would be:

y - 6 = (x - 5).

Rewrite to obtain the equation of this line in the slope-intercept form:

y = x + 1.

7 0
2 years ago
Trigonometry (ASAP) (Urgent) ​
Olin [163]

Answer:

h = 1.403733341286

Step-by-step explanation:

17.

the triangle of sides ‘l’ and ‘l-h’ is a right angled triangle.

Then

\cos \theta =\frac{l-h}{l}

Then

l\cos \theta =l-h

Then

h=l-l\cos \theta

18.

For l = 6  and  θ = 40 :

h=l-l\cos \theta

  = 6-6cos(40)

  = 1.403733341286

8 0
1 year ago
a clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.
KonstantinChe [14]

Given :

A clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.

To Find :

How much does the clerk get if he works overtime for 5 hours and 2 hours on holidays.

Solution :

Amount from regular job = $ 45.25 × 40 = $1810 .

Amount from overtime = $ (45.25×1.5) × 5 = $339.375 .

Amount from holiday = $ (45.25×2) × 5 = $452.5 .

Total amount clerk will get is :

T = $( 1810 + 339.375 + 452.5 )

T = $2601.875

Hence, this is the required solution.

7 0
2 years ago
Find the 7th term of a geometric sequence with t1 = 6 and r = 4.
Helen [10]

To solve for the 7th term of a geometric sequence with t1 = 6 and r = 4, we use the following equation:

<span>
a(n) = a(1) r^(n-1)
a7 = (6) 4^(7-1)
a7 = 24576</span>

Hope this answers the question. Have a nice day. Feel free to ask more questions.

8 0
3 years ago
Read 2 more answers
The dog spa in Champlin has an outside play area. Each play area is in
RoseWind [281]

Answer: $12,723.45

Step-by-step explanation:

Details of each play area :

The radius of circle = 18 feet long

Cost of fake grass per square foot = $12.50

Therefore,

We can obtain the Area of the play area by calculating the area of the circle:

Area of a circle = πr^2

Area = π × 18^2

Area = 1,017.876ft^2

Since the cost per square foot is $12.50

Therefore, Cost of 1,017.876 ft^2 equals

Cost per square foot × Area of play area

($12.50 × 1,017.876)

= $12,723.45

5 0
2 years ago
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