Factor the expression 35x – 7.
A) -7(5x – 1)
B) -7(5x + 1)
C) 7(5x + 1)
D) 7(5x – 1)

x = 50

Step-by-step explanation:

the two angles at the bottom would he the same. Since the interior angles of a triangle must add up to 180 the you just subtract that from 180. 180-(65+65)=50

Answer:

x = 50

Step-by-step explanation:

Since the 2 sides are equal to each other, so are the angles. This is an isoceles triangle, by the way. All triangle interior angles add up to 180.

So, the equation is:

x + 65 + 65 = 180

x + 130 = 180

x = 180 - 130

x = 50

Answer:

He should travel directly

Step-by-step explanation:

Given

[tex]x = 0.5[/tex] --- East

[tex]y =1[/tex] --- North

If he goes through east north direction, the distance (d) traveled is:

[tex]d = x + y[/tex]

[tex]d = 0.5 + 1[/tex]

[tex]d = 1.5 mile[/tex]

If he travels directly, the distance (d) is:

[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem

[tex]d = \sqrt{0.5^2 + 1^2}[/tex]

[tex]d = \sqrt{0.25 + 1}[/tex]

[tex]d = \sqrt{1.25}[/tex]

[tex]d = 1.12mile[/tex]

By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]

Hence, he should travel directly

Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

They are anxious to get their results

Answer:

Step-by-step explanation:

its (-1,-6)

this is your answer

Answer:

the length of its altitude is 34.64 cm

Step-by-step explanation:

Given;

length of a side of the equilateral triangle, L = 40 cm

All the sides of an equilateral triangle are equal

To get the altitude of the triangle, draw a perpendicular line from one of the vertices to intersect the opposite side.

Let the altitude = h

half of the opposite side intersected by the altitude = 20 cm

Apply Pythagoras theorem to determine the altitude 'h'

h² = 40²  -  20²

h² = 1200

h = √1200

h = 34.64 cm

Therefore, the length of its altitude is 34.64 cm

Answer:

j

Step-by-step explanation:

Answer:

10 x 4 = 40, 40 x 2 = 80

5 x 10 = 50, 50 x 2 = 100

5 x 4 = 20, 20 x 2 = 40

100 + 80 + 40 = 220 ft2

Answer:

D. 3(d + 8) and (d + 8) + (d + 8) + (d + 8)

II. 2.235

Step-by-step explanation:

Given the following data;

3 packages at $8 each = 3 * 8 = $24

3 pair of shoes at $d each = $3d

I. To find the total amount of money Cory spent;

Total = 3d + 24

Factorizing, we have;

Total = 3(d + 8)

II. To find the value of the expression;

Your expression isn't explicitly written but I'll assume it's this;

(14.72 - 10.25)/2 =

4.47/2 = 2.235

Answer: 10/3 or 3.33

Step-by-step explanation:

Answer:

0,33

Step-by-step explanation:

x = 36,87

y = 73,74

tan(x/2)

= tan(36,87/2)

= tan (18,44)

= 0,33

Answer:

multiply both side by 2 which gives u tan x 2 is equal to X

multiply it and it will give u the answer But make sure your calculator is in degree mode

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Its option D :)

---

28° + y + 36° = 180°

Answer:

21484.952 ft^3

Step-by-step explanation:

a cube has the same edges so its basically

27.8^3

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

9/10

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

7.5-1.5

=6

that is easy

Answer:

7) [tex]x \to x - 3[/tex].

8) [tex]y \to y + 2[/tex]

9) The entire quadratic equation did not get reflected.

Step-by-step explanation:

7) A horizontal translation to the right is of the form:

[tex]x \to x - a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex], then the horizontal translation is represented by [tex]x \to x - 3[/tex].

8) A vertical translation upwards is of the form:

[tex]y \to y + a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex] , then the vertical translation is represented by:

[tex]y \to y + 2[/tex]

9) The only component of the quadratic equation that was reflected was the part [tex](x-3) ^{2}[/tex] along the x-axis. We can create the entire function by applying the following steps:

(i) [tex]f(x) = x^{2}[/tex] (Original function)

(ii) [tex]f(x) = (x-3)^{2}[/tex] (Horizontal translation)

(iii) [tex]f(x) = - (x-3)^{2}[/tex] (Reflection)

(iv) [tex]f(x) = -(x-3)^{2} + 2[/tex] (Vertical translation)

The entire quadratic equation did not get reflected.

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

Answer:

EF = 25 cm and FG = 35 cm

Step-by-step explanation:

After finding each scale factor for each of the 4 answers, only the last option is relatable. Every other option resulted in different numbers of EF and FG.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The weight of water is 0.036 pounds times the volume of water in cubic inches.

Volume of the tank = Length × Width × Height

= 14 × 25 × 38

= 13300 cubic inches

V

Answer:

100,000

Step-by-step explanation:

Because the 9 thousand is more than 5.

Answer:

15, 36, 39

Step-by-step explanation:

when these are squared they add up to 39 squared following the Pythagorean theorem

Answer:

54

Step-by-step explanation:

I think it's 54

Answer:

the 30% off is better because 30% of 55 is 16.5 and the coupon is for 15 so the 30% off is better.

Step-by-step explanation: