Solve By Substitutution:

-3x -3y= -6
-5x + y = 2​

Answer:

d = 2√29 units

Step-by-step explanation:

M(-3, 1)and N(7, -3)​

To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the values.

d = √[(7 - (-3))² + (-3 - 1)²]

Simplify the parentheses.

d = √[(7 + 3)² + (-4)²]

d = √[(10)² + (-4)²]

Simplify the exponents

d = √[(100 + 16)]

Simplify the parentheses by adding.

d = √[116]

Simplify the brackets with the square root.

d = 2√29 units

Hope this helps!

Answer:

Infinite

Step-by-step explanation:

We know that in a triangle the sum of all the interior angles must be 180°.

The given angles 50º, 90º and 40º

The sum of the angles 50º+ 90º + 40º= 180°

Thus, a triangle is possible with the given measurement.,

Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.

Similarly, all the triangles with the same measurements of the angles must be similar.

Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.

Answer:

a d

Step-by-step explanation:

Answer:

..............................

Step-by-step explanation:

Answer:

yes it is possible to make a triangle with those lengths.

It is possible to form a triangle with the given side lengths

A triangle is a two-dimensional geometrical figure that has three sides, three vertices and three interior angles.

Given, three sides are 7 yards, 8 yards, 9 yards.

Let, three sides are 'a', 'b, 'c' and 'a' is the largest among these three.

Then, a triangle can be formed with these three sides if (b + c)>a.

Here, 9 yards is the largest.

Therefore, (7 + 8) yards = 15 yards > 9 yards

Therefore, with these three sides, a triangle can be formed.

Learn more about a triangle here:

https://brainly.com/question/10324925

#SPJ3

Answer:

Y^11

Step-by-step explanation:

since their the same base “y” add the exponents

6 + 5 = 11

Answer:

Option 4

Step-by-step explanation:

Since k is greater than or equal to -7, the number line should be going in the right direction, along with the starting point being shaded.

Answer:

n+v= -8

Step-by-step explanation:

number=n; variable=v

n+v=-8

Where is the question?

Answer: There are 375 star stickers and 125 heart stickers.

There are 500 stickers with 20 stickers per sheet; 500/20 = 25 sheets of stickers.

25% of each sheet is hearts; 25/100(20) = 5 heart stickers per sheet.  5(25) = 125 total heart stickers.

20 stickers per sheet - 5 heart stickers per sheet = 15 star stickers per sheet.  15(25) = 375 total star stickers.

Answer: The product of a b and c is 0.

Step-by-step explanation:

The given expression : [tex]2xy^{-2}{4xy^2}[/tex]

[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]

[tex]=8x^2y^0[/tex]

When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0

The product of a, b and c = [tex]a\times b \times c[/tex]

[tex]=8\times2\times0\\\\=0[/tex]

The product of a b and c is 0.

Answer:

28

Step-by-step explanation:

28 times 2 = 56

28 times 1 = 28

56 + 28 = 84

Answer: The length of the fence will be 150 feet

Step-by-step explanation:

The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula   a^2 + b^2 = c^2

120 feet will be a

90 feet will be for b  

this is because a and b are the two legs of the rectangle.

120^2 + 90^2 = c^2

14400 + 8100 = c^2

22500 = c^2

   c =√22500

 c= 150

Answer:

21/2

Step-by-step explanation:

step 1: remove parentheses

10+1/2

step 2: calculate

21/2

(alternative forms: 10 1/2, 10.5)

Answer:

19

Step-by-step explanation:

Number of crackers that can be fit into the box = volume of the box / volume of crackers

Volume = length x width x height

volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3

Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3

1152/60 = 19.2

Rounding 19.2 to the nearest whole number gives 19

Answer:

1st question answer is A = πr^2 2nd question answer is A≈28.27ft²

Step-by-step explanation:

9514 1404 393

Answer:

  yes, the triangles are congruent -- by the SAS congruence postulate

Step-by-step explanation:

Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.

The two triangles are SAS congruent.

Answer:

Step-by-step explanation:

AB = BG

10 = 7+x

x = 3

Answer:

1/35

Step-by-step explanation:

1/5*7 = 1/35

Answer:

£208

Step-by-step explanation:

Given:

Height of solid box (h) = 20 cm

Width (w) = 80 cm

Length (l) = 10 cm

Cost of paint = £0.04 per cm²

Required:

Cost of painting the box

Solution:

✔️First, find the surface area of the box

Surface area = 2(l*w + l*h + w*h)

S.A = 2(10*80 + 10*20 + 80*20)

S.A = 2(800 + 200 + 1,600)

S.A = 2(2,600)

S.A = 5,200 cm²

✔️Find the cost of painting 5,200 cm² surface area of the box.

Cost of pianting 1 cm² = £0.04

Cost of painting 5,200 cm² = 5,200 × 0.04

Cost of painting the box = £208

Answer:

The answer is

88 in. (inches)

Answer:

12,14,15

Step-by-step explanation:

Let n = number of gum packs he buys.

After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:

[tex]30-12-4n\geq 0[/tex]

Simplify by subtracting 30-12:

[tex]18-4n\geq 0[/tex]

Subtract 18 from both sides:

[tex]-4n\geq -18[/tex]

Divide both sides by -4 (flip the sign when you multiply or divide by a negative):

[tex]n\leq 4.5[/tex]

You can only buy a whole number of gum packs, so:

[tex]n\leq 4[/tex]

Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke

Answer:

Yes

Step-by-step explanation:

It is symmetrical on the y-axis so must be.

Answer:

correct

Step-by-step explanation:

Answer:

he will pay 11.28 dollars. I hope it helps!

Answer:

Your answer would be $11.28

Step-by-step explanation:

if you find 4% of 282 you would get 11.28 so therefore it is your answer.

[tex]\frac{22}{3}[/tex]  = 7[tex]\frac{1}{3}[/tex]

Hope this helps :-)

Answer:

x = 3, y = 7

Step-by-step explanation:

Since we already have y's value, we can plug y into the bottom equation to get 3(5x - 8) = x + 18. We can distribute 3 into 5x and 8 to get 15x - 24 = x + 18. We can now subtract x from the both sides to get all terms on one side to get 14x - 24 = 18. We can now add 24 to both sides to get 42. We can now divide both sides of the equation by 14 to get x = 3. We can plug x into the top equation to get y = 5(3) - 8. We can multiply 5 and 3 together to get y = 15 - 8. We can simplify and subtract to get y = 7. Our final answer is (3, 7)