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faltersainse [42]
3 years ago
9

The vertices of triangle FGH have coordinates F(−5, 2), G(−4, 2), and H(−4, 3). Which coordinates are the coordinates of the ver

tices of triangle FꞌGꞌHꞌ when triangle FGH is translated 1 unit right and 3 units down? A. Fꞌ(−6, −1), Gꞌ(−5, −1), Hꞌ(−5, 0). B. Fꞌ(−4, 5), Gꞌ(−3, 5), Hꞌ(−3, 6). C. Fꞌ(−4, −1), Gꞌ(−3, −1), Hꞌ(−3, 0). D. Fꞌ(−6, 5), Gꞌ(−5, 5), Hꞌ(−5, 6)
Mathematics
1 answer:
Schach [20]3 years ago
5 0
C
In order to calculate the new vertices, we simply add 1 to the value of x in each point since the translation is towards the positive x-axis and subtract 3 from the y values of each point since the translation is towards the negative y-axis.
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Pls no time help me fast no links ill report u and no brainlist
Lena [83]

Answer:

Step-by-step explanation:

Line segment          Point         Point         Distance    Proof

AB                           A(-3 , 4)      B(2,4)          5                2 - (-3) = 2 +3 = 5

BC                          B(2,4)          C(5,4)          3                 5 - 2 = 3

CD                          C(5,4)          D(5,-1)          5              4 -(-1) = 4 +1 = 5

DE                           D(5 , -1)       E(5,-3)          2             -1 -(-3) = -1 +3 = 2

EF                           E(5, -3)        F(-5,-3)         10            5 - (-5) = 5+5 = 10

7 0
3 years ago
Transform the table below given that g(x) = 2 f(6x).+ 8. Enter your answers as reduced fractions if necessary. Make sure your an
GREYUIT [131]

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

<h3>How to transform the table?</h3>

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

Read more about function transformation at:

brainly.com/question/4025726

6 0
2 years ago
Motor vehicles sold to individuals are classified as either cars or light trucks (including SUVs) and as either domestic or impo
Rudik [331]

Answer:

a) Probability that vehicle is Light Truck is 0.69

b) Probability that vehicle is imported car is 0.08 or 8%.

Step-by-step explanation:

Part a)

Event that vehicle is a car is given by A. Since, the vehicles can only be classified as cars or light trucks, the event that a vehicle will be light truck will be compliment of A.

i.e. Event that vehicle is a Light Truck = A^{c}

It is given that in recent year 69% of vehicles sold were light trucks, 78% were domestic, and 55% were domestic light trucks.

So, from here we can say that, if a vehicle is randomly selected from all the vehicles the probability that it would be a light truck will be:

P(Vehicle will be Light Truck) = P(A^{c}) = 69% = 0.69

Part b)

Event that vehicle is imported is given by B. We need to find the probability the a randomly chosen vehicle is an imported car i.e. we have to find probability of occurrence of events A and B together, which will be denoted as: P(A and B)

Since, P(A^{c}) = 69% = 0.69

P(A) = 1 - P(A^{c}) = 1 - 0.69 = 0.31

It is also given that 78% of vehicles were domestic. This means, the percentage/probability of imported vehicles is:

P(B) = 1 - 0.78 = 0.22

55% of vehicles were domestic light trucks. This can be expressed as:

P(A^{c}\&B^{c}), the compliment of this event will give us P(A or B).

i.e.

P(A or B) = 1 - P(A^{c} \&B^{c}) = 1 - 0.55 = 0.45

According to the addition rule of probabilities:

P(A or B) = P(A) + P(B) - P(A and B)

Substituting the calculated values gives us:

0.45 = 0.31 + 0.22 - P(A and B)

P(A and B) = 0.08

This means, the probability that vehicle is imported car is 0.08 or 8%.

4 0
3 years ago
Solve for x, show work please! 20 points!
GuDViN [60]
<h2><em><u>Option</u></em><em><u> </u></em><em><u>A</u></em><em><u> </u></em></h2>

Step-by-step explanation:

<em><u>Here</u></em><em><u>,</u></em>

70° = 12x - 2 <em>[</em><em>Since</em><em> </em><em>Vertically</em><em> </em><em>Opposite</em><em> </em><em>Angles</em><em>]</em>

=> 12x - 2 = 70

=> 12x = 72

=  > x =  \frac{72}{12}

=> <em><u>x = 6 (Ans) (Option A)</u></em>

8 0
3 years ago
The difference of two complementary angles is 30 degrees. Find the measures of the angles.
oee [108]

Answer:

60 degrees and 30 degrees

Step-by-step explanation:

let the angles be x and y

we are given that the angles are complementary (i.e they sum up to 90 degrees). Hence we can write the first equation:

x + y = 90 ------(eq 1)

we are also given that the difference between the two angles is 30 degrees). Similarly we can write

x - y = 30 ------(eq 2)

now we have a system of 2 equations with 2 unknowns, which we can solve by elimination:

eq 1 + eq 2:

(x + y) + (x - y) = 90 + 30

2x = 120  (divide both sides by 2)

x = 120/2

x = 60 deg (substitute this back into eq 1)

x + y = 90

60 + y = 90 (subtract 60 from both sides)

y = 90 - 60

y = 30 deg.

4 0
3 years ago
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