Which statement best explains the relationship between lines CD and FG?


They are perpendicular because their slopes are equal.

They are perpendicular because their slopes are negative reciprocals.

They are not perpendicular because their slopes are equal.

They are not perpendicular because their slopes are negative reciprocals.

Answer:

-25

Step-by-step explanation:

xy - y

Replace 'x' with 6, and 'y' with -5:

[tex]6(-5)-(-5)\\\\-30+5\\\\\boxed{-25}[/tex]

Answer:

4 units

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4 units

Answer:

4 units

Step-by-step explanation:

if you graph these 2 points, they'll be on the same line of the graph separated by 4 units

Answer: C

Step-by-step explanation: -3/4 is equal to -.75 ,

Answer:

First year's interest is already given.

There are 5 more payments of interest

= 5 * 0.07 * 950 = 332.5

so amount in the account after 6 years = 950 + 332.5 = 1282.5

Answer:

The answer is 1282.50

Step-by-step explanation:

Step-by-step explanation:

30 days period multiply by 7 days

=210 therefore our answer is =210

Answer:

Step-by-step explanation:

[tex]Tete : Tuke\\2 : 3\\Total-Amount = P8900\\2+3 = 5\\Tete = \frac{2}{5} * 8900\\Tete = P3560\\\\Tuke = \frac{3}{5} *8900\\Tuke = P5340[/tex]

Make two shapes out of it.

The bottom is a rectangle 14 x 5 = 70 square cm

The top is a triangle 1/2 x 12 x 5 = 30 square cm

Total area = 70 + 30 = 100 square cm

Answer:

100 cm²

Step-by-step explanation:

The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.

The area of the triangle:

b × h × 1/2

(14 - 2) × 5 × 1/2

60 × 1/2

= 30 cm²

The area of the rectangle:

l × w

14 × 5

= 70 cm²

Add the areas of the two shapes.

30 cm² + 70 cm²

= 100 cm²

The area of the composite shape is 100 cm².

Answer:

-3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50

Option D is the answer:

5.50, 5.75, 6.00, 6.25, 6.50...

Answer:

x = -5/2

x = 1

Step-by-step explanation:

(x-1) (2x+5) = 0​

Divide both sides by (x-1)

2x+5 = 0​

Subtract 5 on both sides.

2x = -5

Divide 2 into both sides.

x = -5/2

(x-1) (2x+5) = 0​

Divide both sides by (2x+5).

x - 1 = 0

Add 1 to both sides.

x = 1

Answer:

f(4)>g(4)

Step-by-step explanation:

f(x)=3x^5 ,  f(4)= 3072

g(x)=11*4^x when x=4 then g(4)=2816

Answer: k = 10

Step-by-step explanation:

mLXYZ = 180 - 115 = 65° (angles in a straight line)

65 + (4k+5) + (6k+10) = 180

65+4k + 5 + 6k + 10 = 180

10k = 180 - 80

k = 100 / 10 = 10

Answer: Graph D

Step-by-step explanation:

The slope is 2

x goes after the slope in graph functions

The line goes through 3 on the y-axis so that’s where + 3 comes in.

2x + 3

Answer:

10x-20

Step-by-step explanation:

5(2x-4)

5x2=10

5x4=20

Answer:

4 2/3

Step-by-step explanation:

14 ÷ 3 = 4 2/3

3 × 4 = 12

14- 12= 2

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of the rectangle is 58:42

The ratio can be simplified further.

The simplified ratio is 29:21.

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

Answer:

The circumference formula is 2πr and we know r = 1 so the answer is 2π.

Answer: 6.28 feet

Step-by-step explanation:

The formula for circumference is C= πd Diameter is radius times two. So use a value of π which is usually 3.14 or 3.1416 for practical purposes. Multiply by the diameter. 3.14×2=6.28.

Answer:

4

Step-by-step explanation:

just change the x into -6

-(-6)-2 = 6 - 2 = 4

Answer:

f(x)=-x-2

f(-6)=-(-6)-2

f(-6)=4

Step-by-step explanation:

Answer:

-2 ≤x≤5

Step-by-step explanation:

The domain is the inputs

The lowest value of x is -2 and every value of x is valid up to 5

-2 ≤x≤5

Answer:

Please mark me brainliest and I hope this helped!

x = 45

Step-by-step explanation:

In this case, we can use the Pythagorean Theorem to figure out the other side of the triangle.

c squared - a squared = b squared

10 squared - 7 squared = b squared

100 - 49 = b squared

51 = b squared

7.14 = b

Now that we know the other side is about 7, we can assume that x is equal to the angle between 10 and 7. So x equals 45.

Answer: The cost to make 400 baseball caps is $3,200

Step-by-step explanation:

The answer they gave you is a set of coords, x and y coords to be exact. That means that x value is inputed into the equation and that y value is the asnwer.

You put in 400, you get 3200.

They also gave us that x equals the number of baseball caps. Then y equals the cost of making those baseball caps

Answer:

The cost to produce 400 caps is the same as the income made from selling 400 caps.

The company will break even when it sells 400 caps; it will not make a profit.

Step-by-step explanation:

EDGE 2021

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

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

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

Answer:

x = 1/2 y = 4

Step-by-step explanation:

Equation 1

2x + 3y = 13

Equation 2

4x - y = -2

Multiply equation 2 by 3

12x - 3y = -6

Add equation 1 to 3

14x = 7

x = 7/14

x = 1/2

Substitute x into equation 1

2(1/2) + 3y = 13

3y = 13 -1

3y = 12

y= 12/3

y = 4

x =1/2 y = 4

Hope this helps.

Answer: Answer: A

Explanation:

Just plug in numbers since you know the unknown values,

x + r = 4 + 5

4 + 5 = 9

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Is the following statement true or false?

The intersection of a plane and a ray can be a line segment.

Answer:

For an nth term U(n) = a + (n - 1)d

n = number of terms

a = first term

d = common difference

a = 5

d = 2 - 5 = - 3

U(n) = 5 + (n -1)-3

= 5 - 3n + 3

= 8 - 3n

The formula for the sequence is 8 - 3n

Hope this helps

Answer:

4

Step-by-step explanation:

google it

Answer:

the answer is four

Step-by-step explanation:

calculator

Answer:

∠ BOC = 42°

Step-by-step explanation:

Since OA and OC are perpendicular , that is at 90° to each other, then

∠ AOB + ∠ BOC = 90 , substitute values

5x + 8 + 6x - 6 = 90

11x + 2 = 90 ( subtract 2 from both sides )

11x = 88 ( divide both sides by 11 )

x = 8

Thus

∠ BOC = 6x - 6 = 6(8) - 6 = 48 - 6 = 42°

Answer:

A) 40

Step-by-step explanation:

The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:

[tex]\angle 1=180-90-50=40^{\circ}[/tex]

Hope this helps!

Answer:

<1 = 40

Step-by-step explanation:

Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines

Answer:

Vertex: (-2, -7)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the equation and trace to the vertex. When you do so you should be able to calculate the coordinates of the vertex.

Answer: the answer is (-2,-7)

Step-by-step explanation: APPEX