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3 years ago

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 square root 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:

Step(i):-

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)

Step(ii):-

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)

Step(iii):-

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 ( 1.509986041) / 2 * log (1.021)
Years = 0.1789729325 / 2 * 0.0090257420869
Years = 0.1789729325 / 0.0180514842 
Years = 9.9145826746 
the answer is "d"

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