Question 1
What is the measure of x?

Answer:

Step-by-step explanation:

y - 1 = -2(x + 3)

y - 1 = -2x - 6

y - 1 + 1 = -2x - 6 + 1

y = -2x - 5

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

Explanation:

Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = 5^2

9+16 = 25

25 = 25

We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2

This confirms a 3-4-5 triangle is a right triangle.

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The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.

We can also see that choice D is a non-answer as well.

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Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.

Let's see what happens when a = 8, b = 14, c = 17

a^2+b^2 = c^2

8^2+14^2 = 17^2

64+196 = 289

260 = 289 .... false equation

We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.

Answer:

37 is the number

Step-by-step explanation

37- 13 = 25

Answer:

rectangles

Step-by-step explanation:

convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\dfrac{5}{8}+\dfrac{3}{4}}{\dfrac{-2}{3}-\dfrac{5}{6}}=\\\\\\\dfrac{\dfrac{11}{8}}{-\dfrac{9}{6}}=\\\\\\\dfrac{11}{8}\times -\dfrac{2}{3}=\\\\\\-\dfrac{22}{24}=\\\\\\-\dfrac{11}{12}[/tex]

Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

letter C

Step-by-step explanation:

sorry if it's copy

Answer:

1.25 kg of icing sugar

3.75 kg of butter

3 kgs of caster sugar

2.75 kgs flour

25 eggs

125g baking powder

Step-by-step explanation:

300/12 x (weight of ingredient)

Answer:

1.25kg icing

3.75kg butter

3kg caster sugar

2.75kg flour

25 eggs

125g baking powder    

Step-by-step explanation:

Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.

300/12 = 25

25 x 50 = 1250g = 1.25kg

25 x 150 = 3750g = 3.75kg

25 x 120 = 3000g = 3kg

25 x 110 = 2750g = 2.75kg

25 eggs

25 x 5 = 125g

A. 3 Gallons

Step-by-step explanation:

1/3÷1/9

1/3÷1/9=1/3 x 9/1

(Then Multiply)

1x9/3x1= 9/3= 3

3 Gallons of paint

3 Galoons of paint is needed to pain the total gate.

Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.

Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,

Since,

1/3 gallons of paint is = 1/9 part of the gate,

Therefore,

1 gate = 1/3 x 9 = 3

Hence 3 Galoons of paint is needed to pain the total gate.

Learn more about unit rates, click;

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Answer:

182

Step-by-step explanation:

2( \frac{1}{2} \times 4 \times 6 ) + 2( 5 \times 10 ) + ( 6 \times 10 )

= {182cm}^{2}

The area of a 2D form is the amount of space within its perimeter. The total surface area of the prism is 184 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area is the sum of the area of the 5 faces of the triangular prism, therefore, we can write,

Surface area = sum of the Area of the rectangular faces + 2(Area of the triangle base)

Now, the Area of a rectangular face is,

Area = (5cm × 10cm) + (5cm × 10cm) + (6cm × 10cm)

        = 160 cm²

The area of the triangle base,

Area = 0.5 × 4cm × 6cm = 12 cm²

Further, the total area of the Prism will be,

Total surface area = 160cm² + 2(12cm²) = 184cm²

Hence, the total surface area of the prism is 184 cm².

Learn more about Area:

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Answer:

Rectangle:6+5=11(Odd)

Triangle:6+6=12(even)

Star:4+3=7(odd)

Pentagon:9+8=17(odd)

Hexagon:6+6+12(even)

Circle:4+4=8(even)

Step-by-step explanation:

Hope this helps:)

Answer:

odd, even

odd, odd

even, even

Step-by-step explanation:

Number the pictures starting from left to right and the down, then pictures 1, 3 4 are odd

2, 5, 6 are even.

Answer:

800

Step-by-step explanation:

900-100= 800

Therefore, the difference is 800. I hope this helps, have a great day!!!

Answer:

800

Explanation:

When solving this problem we need to remember that it is asking us to find how much money she gained throughout the day, NOT the total amount she had at the end of the day. To find how much money she gained, simply subtract one hundred by nine hundred.

900 - 100

800

Therefore, $800 was the change in how much money she had.

Answer:

The steps are :

[tex]A = \pi {r}^{2} [/tex]

[tex] \frac{A}{\pi} = {r}^{2} [/tex]

[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]

Therefore, the answer is B.

Answer: the answer is B.

Answer:

B. Show all sides to be congruent

Answer:

B. show all sides are congruent

Step-by-step explanation:

Answer:

Six people read more than 2 books.

Step-by-step explanation:

Hope that helps

Answer:

the first option, (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

Answer:

(-4, 6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

it  is symmetric about y-axis and its axis is x=0

and vertex is (0,2)

so parabola is y=a(x-0)²+2

(2,4) lies on it.

4=a(2)²+2

4a=2

a=1/2

so y=1/2 x²+2

Answer:

30 in

Step-by-step explanation:

idk how to explain, so yea:)

Answer:

317

Step-by-step explanation:

951/ 3 is 317

for this problem you can use a calculator, or long division.

Answer:

If BCDE is congruent to OPQR then BE is congruent to RO

Answer:

t = 25

Step-by-step explanation:

t - 10 + t = 40

2t = 40+10

2t = 50

t = 50/2

t = 25

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

A(r)=15-3r

Step-by-step explanation:

switch the sign of 3r to make it -3r

Answer:

Not a solution.

Step-by-step explanation:

2=-3/4(3)+3

2=-9/4+3

2 does not equal 3/4.

Therefore, it is not a solution.

Answer:

False

Step-by-step explanation:

Just plug it in.

[tex]2 = -\frac{3}{4}*3 + 3[/tex]

2 = -2.25 + 3

2 ≠ 0.75

It is not equal so it's false.

Answer:

≈ 93.06 cm²

Step-by-step explanation:

Subtract the area of the rectangle from the area of the circle

area of circle = πr² = π × 8² = 64π cm²

area of rectangle = 12 × 8 = 108 cm²

Thus

shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )

Answer:

The area of the shaded region = area of the circle - area of the rectangle

area of circle = πr² = π × 8² = 201.14 cm²

area of rectangle = 12 × 2 = 24 cm²

shaded area = 201.14 - 24 ≈ 177.14 cm²

Answer:

720 cubic units

Step-by-step explanation:

Answer:

360 cubic units

Step-by-step explanation:

volume of prism = area of base * height of prism

The base is a triangle with base = 6 ad height = 8

area of triangle = bh/2

V = bh/2 * height of prism

V = 6 * 8/2 * 15

V = 360 cubic units

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

The missing questions are:

Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.

Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.

A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:

24*m + 40 ≤ 256

B)  Solving the previous equation:

24*m ≤ 256 - 40

m ≤ 216/24

m ≤ 9

Answer:55

Step-by-step explanation:addition

Answer: X60 degrees Y40 degrees

Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40