Find ST if S(-3, 10) and T(-2, 3).

Answer:

Hey there!

5(v+3)-10v>-10

5v+15-10v>-10

-5v+15>-10

-5v>-25

v<5

Let me know if this helps :)

Answer:

[tex]\Huge \boxed{v < 5}[/tex]

Step-by-step explanation:

5(v + 3) - 10v > -10

Expand brackets.

5v + 15 - 10v > -10

Combine like terms.

-5v + 15 > -10

Subtract 15 from both parts.

-5v > -25

Divide both parts by -5 (flip sign).

v < 5

Explanation:

You basically plug in x = 20, which is the same as saying "replace x with 20". Then you perform arithmetic to simplify each expression. Both simplify to 90, so angle 1 and angle 2 are the same measure. These angles are alternate interior angles, so we'll use the converse alternate interior angle theorem to conclude the lines are parallel.

Note: the alternate interior angle theorem says that if we have parallel lines, then the alternate interior angles are congruent. So the converse goes in reverse of this.

Answer:

B. how long the toy rang

Step-by-step explanation:

In order to test the battery, you need to see which will last the longest. Therefore, you should time how long it rang.

Answer:

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, circles.

given that  the members of the community used  rope as outline for the circular shape mural.

we can tell that the perimeter of the mural is same as the perimeter of the rope.

Hence the length of rope used is same as the perimeter of the circular mural.

we know that the perimeter of a circle is given as

[tex]C=2\pi r\\\\[/tex]

substituting radius r= 11 yards

we have

[tex]C= 2*3.142*11\\\\C= 69.124 yards[/tex]

Answer:

[tex]x=-9[/tex]

Step-by-step explanation:

[tex]5x+12=-33[/tex]

Subtract 12 from both sides. The left side cancels:

[tex](5x+12)-12=(-33)-12\\5x=-45[/tex]

Divide both sides by 5. The left side cancels:

[tex](5x)/5=(-45)/5\\x=-9[/tex]

The value of x is -9.

Answer: Plot 1

Step-by-step explanation:

#1 Find the median of the whole set

- since there are 31 data, it is odd, we just need to find the 16th data which is 73.

- the median is 73

#2 Find the median of Less than Q2

- since there are 15 data, it is odd, we just need to find the 8th data which is 64

- the median is 64

#3 Find the median of more than Q2

- since there are 15 data, it is odd, we just need to find the 8th data which is 84

- the median is 84.

-----------------------------------

Putting it back to the box and whisker plot, it will be plot 1

Answer: 1.64

Step-by-step explanation: You need to do 6.56/4 which is 1.64

Answer:

11521 km

Step-by-step explanation:

The computation is given below:

But prior to reaching the final solution first the following calculations need to be computed

Angle between the Galapagos and Nauru is

= 90.30° + 166.56°

= 256.86°

As we know that the total of angles is  360 degrees

Now the major arc and the minor arc is

= 360° -  256.86°

= 103.14°

So,  the angles between galapagos islands is

= 180°  - 90.30°

= 89.70°

And, angles between the naura island is

= 180°  - 166.56°

= 13.44°

Now the sum of this two island is

= 89.70°  + 13.44°

= 103.14°

Therefore The length is

[tex]= \frac{\pi r}{180^{\circ}} \times \theta \\\\ = \frac{6,400 \pi}{180^{\circ}} \times 103.14^{\circ}[/tex]

= 11521 km

Answer:

[tex]\Huge \boxed{4^{16} }[/tex]

Step-by-step explanation:

[tex]16^8[/tex]

Rewrite 16 with base 4.

16 is also written as 4².

[tex](4^2)^8[/tex]

We can apply an exponent rule :

[tex](a^b)^c=a^{bc}[/tex]

Multiply the exponents.

[tex]4^{2 \times 8}[/tex]

[tex]4^{16}[/tex]

Answer:

1) The equation is given in factored form

2) The key characteristics of the parabola are;

a. The parabola has 2 real roots and extends to infinity on both sides

b. The x-intercepts of the parabola are (1/2, 0) and (-6, 0)

c. The y intercept is (0, -6)

d. The vertex point is (-2.75, -21.125)

Step-by-step explanation:

The given equation is f(x) = (2·x -1)(x + 6)

Therefore the equation is given in factored form

The key characteristic of the parabola revealed from the form f(x) = (2·x -1)(x + 6) are;

1) Writing the parabola in the intercept form, a(x - p)(x -q) we have;

f(x) = (2·x -1)(x + 6) = 2·(x - 1/2)(x + 6)

p = 1/2, q = -6

Therefore;

Given that a is positive the parabola is concave upwards

2) a. The parabola has 2 real roots and extends to infinity on both sides

b. The x-intercepts of the parabola are p and q which are (1/2, 0) and (-6, 0)

c. The y intercept is a·(-p)·(-q) = 2×(-1/2)×6 = -6

The y intercept is (0, -6)

d. Expanding we get;

f(x) = 2·x² + 11·x - 6

From the

The vertex is h = -b/(2·a) = -11/(2×2) = -2.75

h(2.75) = 2×(-2.75)² + 11×(-2.75) - 6 = -21.125

Therefore, the function is symmetrical about the vertex point (-2.75, -21.125)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Chiang is filling a 50 ft3 container with water at a rate of 0.5 ft3/min. Interpret

50 ft^3 represents the volume of the container which is a product of its length, width and height. The rate is said to be 0.5ft^3 /min. The stated rate represents the volume of the container which Chiang fills each minute. The rate could be obtained by taking the proportion of the entire volume of the container and the time it takes Chiang to fill it.

Here, it will be :

Rate = ( volume of container (ft^3) / time taken (minutes))

Hence 0.5ft^3/min means on average Chiang's fills a volume of 0.5ft^3 of the container each minute.

Answer:

2 quiz

Step-by-step explanation:

Mr Ondonez gives his students 34 quizzes over 17 weeks. They are given the same number of quiz per week. To calculate the number of quiz given per week, we have to divide the total number of quiz given by the total number of weeks. Therefore:

Number of quiz per week = Total number of quiz / Total number of weeks  

Number of quiz per week = 34 / 17 = 2

The students are given 2 quizzes per week.

Answer:

2 quiz

Step-by-step explanation:

Answer:

6c + 3b + 4

Step-by-step explanation:

First, you can group like terms:

9c + 3b + 4 - 3c -----> (9c - 3c) + (3b) + (4)

Then you can add terms:

(9c - 3c) + (3b) + (4) = (6c) + (3b) + (4) = 6c + 3b + 4

Hope this helps!!!

the answer is 3b+6c+4

Answer:

-7

Step-by-step explanation:

-5 + (-2)

You are adding two negative numbers, -5 and -2.

Find their absolute values: 5 and 2.

Add the absolute values: 5 + 2 = 7

The answer is negative: -7

-5 + (-2) = -7

Answer:

Irrational numbers

Step-by-step explanation:

Any irrational number plus a rational number like (5/8) creates another  irrational number.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

An irrational number is a number that cannot turn into a fraction.

If you add an irrational number to a rational number, the sum is an irrational number because since the number cannot be ended and/or written into a fraction.

Irrational numbers are: Pi and infinity. Pi doesn't ever end, and all the digits (after 0) are different (it's a formula). Infinity has no end, so you cannot write infinity as a fraction.

Pi plus 5/8 is an irrational number.

Infinity plus 5/8 is also an irrational number.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

$20000

Step-by-step explanation:

Let Elle received $x

Therefore, Jude received (x + 5000)$

[tex] \because x : (x + 5000) = 4 :5[/tex]

[tex] \therefore \frac{x}{(x + 5000)} = \frac {4}{5}[/tex]

[tex] \therefore 5x = 4(x + 5000)[/tex]

[tex] \therefore 5x = 4x + 20000[/tex]

[tex] \therefore 5x - 4x = 20000[/tex]

[tex] \therefore x = \$20000[/tex]

Therefore, Elle's share = $20000

Answer:

  75

Step-by-step explanation:

Let t and u represent the tens and units digits, respectively.

  t = u + 2 . . . . the tens digit exceeds the units digit by 2

  t + 2u = 17 . . . . the sum of the tens digit and twice the units digit is 17

Substituting for t in the second equation, we get ...

  (u +2) +2u = 17

  3u = 15 . . . . . . . . subtract 2

  u = 5 . . . . . . . . . . divide by 3

  t = u+2 = 7

The number is 75.

_____

Check

7 exceeds 5 by 2. 7 + twice 5 = 7 + 10 = 17.

Answer:

Option B.

Step-by-step explanation:

We need to find the range of numbers is most appropriate for the y-axis scale and interval on a graph for given table.

From the given table it is clear that the minimum value of y is 10 and the maximum value of y is 34.

It means 10 and 34 must be included in the Range.

In option C and D 34 in not included in the range, so these options are incorrect.

In option A, 10 is the minimum value of range and interval of 10 is not possible for the range 10-35, because it contains only multiple of 10 on the y-axis. So, this option is incorrect.

In option B, both 10 and 34 are included and interval of 5 is possible for range 0-35.

Therefore, the correct option is B.

Answer: 3/10

Step-by-step explanation:

Given a decimal number 0.3

To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :

0.3 /1

Multiply the numerator and the denominator by 10

0.3/1 × 10/10 = 3/10

Therefore, a = 3 and b = 10

the rational number 0.3 in the form ab , where a and b are integers is

3/10

Answer:

x= -4/9

Step-by-step explanation:

HOPE THIS HELPS!!!! :)

<3333333333

Answer:

The answer is 4

Step-by-step explanation:

Answer:

3(x - 4)(x + 4)

Step-by-step explanation:

[tex]3 {x}^{2} - 48 \\ = 3( {x}^{2} - 16) \\ = 3( {x}^{2} - {4}^{2} ) \\ = 3(x - 4)(x + 4)[/tex]

Answer:

Yes

Step-by-step explanation:

The length of QW can be determined from PW and PQ by figuring out what the lengths are for Q and W in PW and PQ.

Answer:

Circumcenter = (4,0)

Circumcircle = √5

Step-by-step explanation:

The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.

Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:

[tex]AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\[/tex]

AO = BO, therefore

√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)

x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29

6x + 2y = 24       (1)

BO = CO

√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)

x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25

-x + 4y = -4         (2)

Multiply equation 2 by 6 and add to equation 1:

26y = 0

y=0

Put y = 0 in -x + 4y = -4

-x + 4(0) = -4

x = 4

The cicumcenter is at (4, 0)

The radius of the circumcircle = AO = BO = CO. Therefore:

[tex]Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}[/tex]

Answer:

c 58

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

Add all of them and it’s 180

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

[tex]\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6[/tex]

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

Answer:

t = (q - r) / rs

Step-by-step explanation:

Right now you have q=rst+r so if you want to find t you must move the variables around. Like this:

q=rst+r (or r+rst)

so so get rid of the r first

like this: (q-r)=rst

divide by rs to find t

so t=(q-r)/rs

Answer:

$1,461.60

Step-by-step explanation:

Value of the stock in the first year if value increased by 16% = 1500 x (1.16) = $1740

1.16 = 100% + 16% = 116%

Value of the stock in the second year if value decreased by 16% = $1740 x 0.84 = $1,461.60

0.84 = 100% - 16% = 84%

x+x+y.y.y = 2x+y^3 ( y cube)

So, The answer is (d)

Answer: B. 29 mi (which you typed 29 in)

Step-by-step explanation:

Use law of cosine to solve: a²=b²+c²-2bc·cosA (the corresponding angle)

a²=19²+12²-2×19×12×cos (138)

a²=361+144-456cos(138)

a²=505-456cos(138)

a²=843.874 (rounded)

a=29 mi