The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16

Answer:

0.926

Step-by-step explanation:

Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!

Answer:

22.5 feet.

Step-by-step explanation:

Volume = length * height + width, so:

3510 = 13 * 12 * width

So width = 3510 / (13*12)

= 22.5 feet.

Answer:

Yes

Step-by-step explanation:

function

A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

[tex]d^2 = l^2 + l^2[/tex]

[tex]d^2 = 2l^2[/tex]

Take positive square root of both sides

[tex]d = \sqrt{2l^2}[/tex]

Split:

[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]

[tex]d = \sqrt{2} *l[/tex]

Recall that the side length (l) is rational.

However, [tex]\sqrt 2[/tex] is irrational.

So, the product of l and [tex]\sqrt 2[/tex] will be irrational

Hence:

The diagonal is irrational

Answer:

[tex]d=\frac{2}{5}[/tex]

Step-by-step explanation:

-10 (d+1) = -14

-10d -10 = -14

-10d = -14 + 10

-10d = -4

d = 4/10

d= 2/5

Answer:

Step-by-step explanation:

8/18=x/24

18x=192

x=10.667(correct to three decimal places)

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)

Answer:

The other angles can be 56°, 68°, or 62°.

Step-by-step explanation:

If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°

If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.

The other angles can be 56°, 68°, or 62°.

Answer:

yes,  point (4, 25) satisfies the equation y = 7x + –3

Step-by-step explanation:

to see if the point satisfies the equation, we need to plug in the x coordinate to get y

if y is equal to the y-coordinate, then the point satisfies the equation

if y does not equal the y-coordinate, then the point does not satisfy the equation:

y = 7(4) + - 3

y = 28 + -3

y = 25

does 25 = 25? Yes! so the point satisfied the equation

Answer:

yes

Step-by-step explanation:

7(x)- 3 = y

7(4) - 3 = (y)

28 - 3 = 25

Answer:

(3x 2 + 5x - 8) = (3x+8)(x−1)

(x^2-3x + 2)= (x−1)(x−2)

Step-by-step explanation:

you just have to factor

Answer:

1) 11x-8

2)       x2-3x+2      

Step-by-step explanation:

if it is correct plz plz mark as brainliest

thank you

19NBoli

Answer:

Step-by-step explanation:

They give you the equation, you must substitute the x values into the equation to find the y values.

Example on top equation:

y=-5x so the y values would be

y=-5(-1)=5

y=-5(0)=0

y=-5(1)=-5

y=-5(2)=-10

Answer:

to find the value of c, isolate it.

28 + c = 36

c = 36 - 28

c = 8

now, to check:

28 + 8 = 36 ✓

Answer:

Step-by-step explanation:

f(-5) = (-5)^2 + 3(-5) - 21

= 25 - 15 - 21

= -11

Answer:

11

Step-by-step explanation:

) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.

Answer:

The answer is "Ratio".

Step-by-step explanation:

A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.

It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.

Answer:

An linear equation in one variable

Step-by-step explanation:

Variable:h

Equation:6h+19

Answer:

160 hope this work!!! love

Answer:

-38

Step-by-step explanation:

Answer:

a = 9

b = 6

I hope you can do the rest yoyrself, as I coulsnt find how to type it out ;-;

Answer:

1) 117

2) 9

3) 45 or -45

Step-by-step explanation:

a=9

b=6

1) a²+b²=9²+6²=81+36=117

2) (a-b)²=(9-6)²=3²=9

3) a²-b²=81-36=45

It’s also possible that a=6 and b=9, in which case

1) (same)

2) (same)

3) 36-81=-45

Answer:

0.75 ;

150

Step-by-step explanation:

Probability of rolling two even numbers :

{1, 2, 3, 4, 5, 6}

P(even) = 3 / 6 = 1/2

From a roll of 2 dice :

P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25

P(not even) = 1 - 1/4 = 3/4

X : ____ 6 _______ - 1

P(x) ____ 0.25 ____ 0.75

Expected value :

Σx*p(x) = (6*0.25) + (-1 * 0.75)

= 1.50 - 0.75

= 0.75

If 200 games are played :, n = 200

Expected value * n

0.75 * 200

= 150

Answer:

7

Step-by-step explanation:

Answer:

A = 7

Step-by-step explanation:

You would take -42/-6 because that will tell you what x -6=-42

-42/-6 = 7

Also. you have to remember that a negative divided or multiplied by a negative = a positive

Answer:

wut

Step-by-step explanation:

Answer:

x=4/9

Step-by-step explanation:

3(2x+8)=60x

6x+24=60x

6x+24-24=60x-24 -60x

-54x=-24

-54x= -24

x= 4/9

===========================================================

Explanation:

Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.

This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.

To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.

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

Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.

Answer:

12 inches

Step-by-step explanation: