Find x
In rectangle QRST, QS = 5x - 31 and RT = 2x + 11.
Find the lengths of the diagonals of QRST.


A.4
B.6
C.14
D.16

Answer:

option number three goes to square, option number two goes to trapezoid and las third option goes to rectangle.

Step-by-step explanation:

The coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’. The point of intersection of the parabola with the axis is the vertex.

For the given situation,

The equation of parabola is [tex](x-1)^2=12(y+2)[/tex] ------ (1)

The diagram below shows the parabola and the vertex of the equation of parabola.

The general form of the equation of parabola is

[tex](x-h)^{2} =4a(y-k)[/tex]

Here the vertex is (h,k)

Now compare the equation 1 with this general form, we get

⇒ [tex]h=1[/tex] and [tex]k=-2[/tex]

Hence we can conclude that the coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

Learn more about equation of the parabola here

https://brainly.com/question/20333425

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Answer:

the approximate value after 6 years is $443

Step-by-step explanation:

The computation of the approximate value after 6 years is shown below:

= Current value × (1 + rate of interest)^number of years

= $250 × (1 + 0.10)^6

= $250 × 1.1^6

= $442.8903

= $443

Hence, the approximate value after 6 years is $443

Therefore the last option is correct

Answer:

no y = 3x +15 is greater

Step-by-step explanation:

Answer:

$511.7

Step-by-step explanation:

Given data

Cost of stereo system= $480.50

Tax= 6 1/2% = 6.5%

Let us find the amount of the tax

=6.5/100*480.5

=0.065*480.5

=$31.2

Hence the amount of the tax = $31.2

Therefore the total cost is

=31.2+480.50

=$511.7

Answer:

79 degrees.

Step-by-step explanation:

There are 7 total temperatures, 68, 82, 81, 82, 74, 75, and 91 degrees. To find the mean, we add all of the temperatures together and divide it by the number of tempuratures-- 7.

68+82+81+82+74+75+91 = 553.

553 / 7 = 79.

Hope this helps!

Answer:

8 m/s.

Step-by-step explanation:

18 miles = 18*8/5 = 28.8km

28.8 km = 28.8 * 1000

= 28,800 m.

There are 3600 seconds in an hour.

Therefore:

28800 meters per hour = 28800/3600

= 8 m/s.

Answer:

Step-by-step explanation:

We are given the letters:

2

We write the possible permutations of 3 letters from the given list:

3

Because order is not important in a combination we cross out the duplicate pairs:

4

Answer:

4

Step-by-step explanation:

n! / r!(n-r)!

n = # of total objects

r = # grouped together at a time

4! / 3!(4-3)!

4

Answer:

[tex]\bf\huge{8}[/tex]

Step-by-step explanation:

where,

⟼ 20 ÷ ( 4 + 1 ) × 2

⟼ 20 ÷ (5) × 2

⟼ 20 ÷ 5 × 2

⟼ 4 × 2

⟼ 8

∴ 20 ÷ ( 4 + 1 ) × 2 = 8.

Answer:

Step-by-step explanation:

From the given x^2 - 8x + 13 we can find several points to graph to represent this quadratic function.

The y-intercept is (0, 13) and stems from letting x = 0.

                                                 b

The axis of symmetry is x = - -----

                                                 2a

                                                                                    -8

Since a = 1 and b = -8, the axis of symmetry is x = - ------- = 4

                                                                                      2(1)

and so the vertex is at (4, 4^2 - 8(4) + 13), or (4, -3)

If you want to go the extra mile, find the roots of the given equation.  These are also your x-intercepts.  One such intercept is (2. 0).  

Plot these points and draw a smooth curve through them.

Hint:  the parabolic graph opens up.

Answer:

$2,369,136.10

Step-by-step explanation:

she earned $2,369,136.10 in interest after 130 days

Answer:

multiply the value behind the other value

Step-by-step explanation:

3 x -12 = 48

-12 x 48 = -576

and so on

Answer:

yes

Step-by-step explanation:

What you don't know. which chapter is hard for you?

Answer:

60degrees

Step-by-step explanation:

Using the theorem that states that angle at the vertex is half the difference of the angles at the intercepted arcs

Angle at vertex can be gotten by taking the difference of 119 and 65

Angle at the vertex = 119 - 65

Angle at the vertex = 54

Hence;

54 = 1/2(168-VF)

Cross multiply

54  * 2 = 168-VF

108 = 168 - VF

VF = 168 - 108

VF = 60degrees

Hence the measure of arc VF is 60degrees

Answer:

please the answer is C which is; x is about 4•0 and y is about 14•6

Answer:

X+67=0

X=-67

X+127=0

X=-127

Step-by-step explanation:

Answer: NO SOLUTIONS

Step-by-step explanation:

8a-3=5a+35+3a

8a-3=8a+35

-8a     -8a

-3 does not equal to 35

NO SOLUTIONS

Answer: 8a=38+8a²

Step-by-step explanation:

8a-3=5(a+7)+3a

8a-3=5a+35+3a

8a-3=8a²+35

8a=35+3+8a² (I moved 3 to put it with 35 because they are the same, I couldn't do the same for 8a and 8a² because of the 2)

8a=38+8a²

HOPE IT WORK

Answer:

17

Step-by-step explanation:

Answer:

<2= 113

Step-by-step explanation:

134/2=67

TANGENT LINES ARE SUPPLEMENTARY

180-67=113

Answer:

A

Step-by-step explanation:

Area of a circle = [tex]A = \pi r^{2} \\[/tex]

R = 1/2 diameter

R = 14 / 2 = 7

A = π(7)²

A = 153.86

Answer:

a

Step-by-step explanation:

Answer:

i=d ii=c iii=b iv=a

Step-by-step explanation:

You can find slop by doing rise/run Or the increase in y over increase in x

You read the graph left to right just like a  sentence so if the line is going down from left to right the slope is negative :)

Answer:

c

Step-by-step explanation:

Answer:

x = 130°

Step-by-step explanation:

number of sides = 6

the sum of the total interior angles = (6 x 180) - 360 = 720°

x = 720 - 125 - 120 - 100 - 120 - 125 = 130°

Answer:

no

[tex] {16}^{2} + {35}^{2} is not equal {41}^{2} [/tex]

Answer:

1/6

Step-by-step explanation:

you have a 6 sided die that is numbered 1, 2, 3, 4, 5, and 6.

you roll it once, so the probability that you will roll a five is 1/6

this is because you only want one specific number so that goes on the numerator of the fraction.

then, you have to multiply how many sides you have on the die to the number of rolls. in this case we have one roll and six sides. so the six goes on the denomerator side of the fraction