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MatroZZZ [7]
3 years ago
9

What is the distance between (4, 5) and (-7, -4) round to the nearest 10th if necessary

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

14.2 units

Step-by-step explanation:

use the distance formula -  take the <u>square root</u> of the following:

(y_{2}-y_{1})^2 +(x_{2}-x_{1})^2

should be sq rt of 202, or approx 14.2 units

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Triangle RST is shown. What is the y-coordinate of the final image of vertex T after the triangle is reflected over the x-axis f
gavmur [86]

Answer:

R¹(-7, -3) ,  S¹(-2, -1),  T¹(-5, 4)

Step-by-step explanation:

<u><em>Step(i):-</em></u>

From the graph, the points are R(-4,5), S(1,3),T(-2,-2)

First, the points are reflected over the x-axis then  transform in to

(x,y)→(x,-y)

R(-4,5)→R¹(-4,-5)

S(1,3)→S¹(1,-3)

T(-2,-2)→T¹(-2,2)

<u><em>Step(ii):-</em></u>

Next, The points are shifted to 3 units left then the transform

(x,y)→ (x -3 ,y)

R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5)

S¹(1,-3)   →   S¹(1-3, -3) →  S¹(-2, -3)

T¹(-2,2)  →   T¹(-2-3, 2)→ T¹(-5, 2)

<u><em>Step(iii):-</em></u>

Now again the points are shifted to '2' units up then transform to

(x,y) )→ (x  ,y+2)

R¹(-7, -5+2) →  R¹(-7, -3)

 S¹(-2, -3+2) →  S¹(-2, -1)

 T¹(-5, 2+2)  →  T¹(-5, 4)

4 0
3 years ago
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles
Ksju [112]

9514 1404 393

Answer:

  96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

  V = LWH

  V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

96 cubic feet of concrete are needed.

7 0
3 years ago
A house painter was told by his boss to purchase enough paint to cover 75 square feet to finish a project. The house painter hap
Rama09 [41]
It must be noted that the area of the square is calculated through the equation,
                                    A = s²
where A is area and s is the measure of one side of the square. 
To determine the measure of one side of the square, we simply have to get the square root of the area,
                                               s = √A
Substituting the known value,
                                                s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm. 
7 0
3 years ago
Read 2 more answers
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it
ahrayia [7]
You need the compound interest formula solved for time:
Years = log (total / principal) / n * log (1 + rate / n)
Years = log (9,000 / 5,960.32) / 2 * log (1 + .042/2)
Years = log ( <span> <span> <span> 1.509986041</span></span></span>) / 2 * log (1.021)
Years =  0.1789729325 / 2 * 0.0090257420869
Years =  <span> <span> </span></span><span><span><span>0.1789729325 / 0.0180514842 </span> </span> </span>
<span><span><span>Years =  9.9145826746 </span> </span> </span>
the answer is "d"

Source:
http://www.1728.org/compint.htm


3 0
3 years ago
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Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31
lapo4ka [179]

Answer:

(4,1)

Step-by-step explanation:

The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).

To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.

To find the y-coordinate, input the x=4 and solve for y.

y=2(4)^2-16(4)+31\\y=2(16)-64+31\\y=32-64+31\\y=1

The vertex is (4,1).

8 0
3 years ago
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