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3 years ago

5

2x-13x+15=0 nature of roots

1 answer:

Natalija [7]3 years ago

7 0

The nature of roots is 2348

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ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .

Then $T(x,y) = (x + 1,y-2)$ and

$T(1,1)=(1+1,1-2)=(2,-1)=A'$

$T(3,0)=(3+1,0-2)=(4,-2)=R'$

Therefore $A'= (2,-1)$ and $R'=(4,-2)$ . The triangles CAR and C'Q'R' are shown in the figure below.

7 0

3 years ago

Is 81 divisible by 3?

AlexFokin [52]

Yes 81 is divisible by 3
the answer is 27
because 81 divided by 3 = 27

3 0

3 years ago

Read 2 more answers

Help! I need an answer with an explanation or else I loose marks

7nadin3 [17]

Answer:

c. (1,-2)

Step-by-step explanation:

by adding them together you can cancel out the y's and solve for x. once you get x, you can plug it into either equation and get y.

hope this helped :)

6 0

2 years ago

The output of a plant is 4335 pounds of ball bearings per week (five days). If each ball bearing weighs 0.0113 g, how many ball

Setler79 [48]

Answer:

The plant makes 34,802,178 ball bearings in a single day

Step-by-step explanation:

The total output of a plant in a 5-day week is 4335 pounds

Each ball bearing weighs 0.0113g

We are to calculate the number of ball bearings made per day

First, we ensure both mass are in the same unit

Now 1 pound =453.5924 grams

4335 pounds=453.5924 X 4335 =1966323.054 grams

Number of bearings made in a week therefore

= 1966323.054 /0.0113=174010889.7

≈174010890 (to the nearest whole number)

Since there are 5 days in a week of production,

Daily Production=174010890/5

=34802178

The plant makes 34,802,178 ball bearings in a single da

5 0

3 years ago

For one child, a childcare facility charges $350 per month for preschool and $5.00 per hour for each additional hour for after-s

Hatshy [7]

Answer:

D. 80

Step-by-step explanation:

We have the following function :

$f(h)=350+5h$ (I)

Where $f(h)$ is the monthly fee for after - school care and preschool.

Where $h$ represents the number of hours spent in after - school care.

We know that the total monthly bill for one child was $750 ⇒

$f(h)=750$

Using (I) we will find the value of the hours '' $h$ '' that verifies the expression ⇒

$f(h)=750=350+5h$ ⇒

$750=350+5h\\750-350=5h\\400=5h\\h=\frac{400}{5}=80$

We find that the value of the hours '' $h$ '' is 80 hours.

The total number of hours the child spent in after - school care is D. 80

5 0

3 years ago