If A = (- 1, - 3) and B = (11, - 8) what is the length of AB? 13 units 12 units C. 11 units D. 14 units

Answer:

2a + 3b = 5

b = a - 5

Step-by-step explanation:

2a + 3b = 5

b = a - 5

You can write this another way:

2a + 3(a-5) = 5 ( I added the second formula in the first one )

Now you gotta factor out:

2a + 3a - 15 = 5

Here im gonna do plus 15

2a + 3a = 20 ==> 5a = 20

Now if you divide by 5, you get: a = 4

Now you can fill in the second formula again

b = a - 5 (ill fill this in now)

b = 4 - 5 = -1

So, this makes:

a = 4 , b = -1

Answer:

a = -2

b = -7

Step-by-step explanation:

the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)

to begin, plug in a - 5 for b in the equation 2a + 3b = 5.

2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5

the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.

2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5

since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.

2a + 3a - 15 = 5 ⇒ 5a - 15 = 5

add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.

now your equation is 5a = -10.

divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.

therefore a = -2.

now plug in -2 for a in b = a - 5 in order to solve for b!

b = a - 5 ⇒ b = -2 - 5

subtract -2 - 5.

b = -2 - 5 ⇒ b = -7

therefore b = -7.

your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3

Answer:

The question is incorrect. Please use a table or a diagram.

Answer:

20°

Step-by-step explanation:

In circle with center O, PS is diameter.

[tex] m\angle PRS =90\degree [/tex]

(angle inscribed in semicircle)

PQRS is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

[tex] \therefore m\angle QPS + m\angle QRS = 180\degree [/tex]

[tex] \therefore (x\degree +25\degree) +(45\degree +90\degree) = 180\degree [/tex]

[tex] \therefore x\degree +25\degree + 45\degree +90\degree = 180\degree [/tex]

[tex] \therefore x\degree +160\degree = 180\degree [/tex]

[tex] \therefore x\degree = 180\degree-160\degree [/tex]

[tex]\huge\red {\therefore x\degree = 20\degree} [/tex]

Answer:

32.012 kg < 32.02 kg

Step-by-step explanation:

32.012 kg < 32.02 kg

Answer:

36

Step-by-step explanation:

length*Width*height

3*2*2=12

12*3=36

Answer:

Ok so since the triangles are congruent, that means that the corresponding angles are congruent. This means angle A = angle D, angle B = angle E, and angle C = angle F.

So:

angle A = angle D

70 = 3x + 10

3x + 10 = 70

3x = 60

x = 20

angle B = angle E

60 = y/3 + 20

y/3 + 20 = 60

y/3 = 40

y = 120

angle C = angle F

50 = z^2 + 14

z^2 + 14 = 50

z^2 = 36

z = 6 (or -6)

Answer:

Step-by-step explanation:

Step-by-step explanation:

find the slope

-1 - 8/ -2 - -4 = -9/2

y - -1 = -9/2(x - -2)

y +1 = -9/2(x+2)

y = -9/2x -10

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-8)/(-2-(-4))

m=-9/(-2+4)

m=-9/2

y-y1=m(x-x1)

y-8=-9/2(x-(-4))

y-8=-9/2(x+4)

y=-9/2x-36/2+8

y=-9/2x-18+8

y=-9/2x-10

Answer:

75 %

Step-by-step explanation:

100$= 100%

1$= 1%

75$ (left)= 75%

Answer: Oscer

Step-by-step explanation:

Answer:

The solution to the inequality is:

[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]

-5 and -6 are the solution values.

Step-by-step explanation:

Given the inequality

[tex]6\ge \:4x-5[/tex]

Let us solve the inequality

[tex]6\ge \:4x-5[/tex]

switch sides

[tex]4x-5\le \:6[/tex]

Add 5 to both sides

[tex]4x-5+5\le \:6+5[/tex]

Simplify

[tex]4x\le \:11[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}\le \frac{11}{4}[/tex]

Simplify

[tex]x\le \frac{11}{4}[/tex]

Thus, the solution to the inequality is:

[tex]6\ge \:4x-5\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{11}{4}\:\\ \:\mathrm{Decimal:}&\:x\le \:2.75\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{11}{4}]\end{bmatrix}[/tex]

In our case, we are given the values -6, 8, and -5

We have already determined that the solution is x ≤ 2.75.

Since the solution is x ≤ 2.75, so -5 and -6 come under the solution set because -5 and -6 are less than 2.75.

Hence, -5 and -6 are the solution values.

The graph of the solution of the inequality is also attached below.

The solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

6 ≥ 4x − 5

Adding 5 both the side we get,

6 + 5 ≥ 4x − 5 + 5

⇒ 11 ≥ 4x

Dividing both the side by 4 we get,

11/4 ≥ 4x/4

⇒  11/4 ≥ x

or, x ≤ 11/4

this is the required solution of the given inequality.

Thus, the solutions to the inequality 6 ≥ 4x − 5 is x ≤ 11/4.

To learn more about inequality :

https://brainly.com/question/13363104

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Answer:

D. The area of the triangle is 9 square feet, because the area of the rectangle is 18 square feet.

Step-by-step explanation:

Answer:

multiply 63280 by 1.5% (.015).  The answer is $949.20

Step-by-step explanation:

Answer:

C. 9×3 + 3×2

The area of the figure is 33 in.

Step-by-step explanation:

Area is:9x5

Hope i could help u

Answer:

Some ways on how to solve the questions:

Use formulas as given by your teacher.

Application of the Pythagorean Theorem would be useful for 5 and 6.

For 7-10 use a formula as given by your teacher (just basic operations like plugging in the formula for those questions)

For 11 and 12 draw it out.

Answer:

im pretty sure its the last one

Step-by-step explanation:

Answer:

be

Step-by-step explanation:

Answer:

y=6x

Step-by-step explanation:

g=-9/2

c=0

y=-9/2x

3/4x*-9/2

y=6x

Answer: You will need 33ml of  water added

Step-by-step explanation:

Answer:

First from 18, you count to 23. So, 19, 20, 21, 22, 23. There were only 5 more pounds needed, so it would be, 1 full package of 18 pounds and 1 quarter of a package (I think), because it is not a full package, another full package of 18 would be 36 pounds. I hope this helped! [It might not]

Answer:

49°

Step-by-step explanation:

arccos x = 15/23

Answer:

D

Step-by-step explanation:

Left to right so it is KM (eliminate B and C). It isn't A because the line doesn't continue to the left through point A, so it is D.

Answer:

1. 10:8 = 5:4 (simplest form)

2. 860:400 = 43:20 (simplest form)

3. 4415:1200 = 883:240 (simplest form)

Answer:

b. The boundary line of y < 2x - 3 is not a solid line.

Step-by-step explanation:

It's a linear inequality thus its boundary line must be a solid line.

Answer:

A. 113cm³

Step-by-step explanation:

Finding the volume with diameter,

[tex]v = \frac{1}{6 }\pi {d}^{3} [/tex]

[tex]v = \frac{1}{6} \times \frac{22}{7} \times {6}^{3} [/tex]

[tex]v = 113.14cm^{3} [/tex]

to the nearest whole number

[tex]v = 113 {cm}^{3} [/tex]

Answer:

113 cm^3

Step-by-step explanation:

I Just took the quiz:)

it's 88.1 x 10 to the power negative 2

and

0,0881

Step-by-step explanation:

88.1÷1000=0,0881

Answer:

hello! :) have a good day!

Exact Form:

x= 87/35

Decimal Form:

x= 2.48571428

Mixed Number Form:

x= 2 17/35

Answer: [tex]16p^{2} -9[/tex]

The area of the rectangle is [tex]16p^{2} -9[/tex].

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

The side length of square = 4p

The length of rectangle, l = 4p+3

The width of rectangle, w = 49-3

The formula of area of rectangle is

[tex]A=lw[/tex]

⇒ [tex]A=(4p+3)(4p-3)[/tex]                 [∵ [tex](a+b)(a-b)=a^{2}-b^{2}[/tex] ]

⇒ [tex]A=(4p)^{2} -3^{2}[/tex]

⇒ [tex]A=16p^{2} -9[/tex]

Hence we can conclude that the area of the rectangle is [tex]16p^{2} -9[/tex].

Learn more about the rectangles here

brainly.com/question/12019874

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Answer:

2:5 is the answer

Step-by-step explanation:

Why is because it says What is the ratio of the distance Shawn ran to the distance he biked shawn ran 2 miles the ratio is 2:  and comparing how he rode 5 miles is 2:5

Answer:

2:5

Step-by-step explanation:

im in k12 LOL