Solving special systems
{y=1/2x+4
{-1/2x+y=-5

Answer:

12 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the altitude )

Here A = 84 and b = 14 , then

[tex]\frac{1}{2}[/tex] × 14 × h = 84

7h = 84 ( divide both sides by 7 )

h = 12

The altitude is 12 cm

Answer:

Step-by-step explanation:

use foil and you will have

=2a^2-6ab+5ab-15b^2

=2a^2-ab-15b^2

i think is B, maybe you forgot a minus between ab and 15b^2

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

used graphing calculator

Answer:

wow then u saved $7425 in your savings account

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

s = [tex]\frac{t+7s}{5}[/tex] ← substitute s = - 2 into the equation

- 2 = [tex]\frac{t+7(-2)}{5}[/tex] ( multiply both sides by 5 to clear the fraction

- 10 = t - 14 ( add 14 to both sides )

4 = t → C

Answer:

2.2 gigabytes

Step-by-step explanation:

Let us represent

x = the number of gigabytes of data Samuel can use while staying within his budget

Therefore, our equation is:

$41.50 + $5 × x = $52.50

41.50 + 5x = 52.50

Subtract 41.50 from both sides

41.50 - 41.50 + 5x = 52.50 - 41.50

5x = 11

x = 11/5

x = 2.2 gigabytes.

The number of gigabytes of data he need to keep his monthly cost at $52.50 is 2.2 gigabytes

Answer:

The percentage change = 6.05%

Step-by-step explanation:

New value = £209.99

Old value = £198

Percentage change = [New Value - Old Value] / [Old Value] × 100

                                 = [209.99 - 198] / [198] × 100

                                 = [11.99] / [ 198] × 100

                                 = 0.06 × 100

                                 = 6.05%

Therefore, the percentage change = 6.05%

Answer:

y² + 10y + 6x + 58 = 0

Step-by-step explanation:

Focus of the parabola has been given as (-7, -5) and directrix as x = -4

Let a point on the parabola is (x, y).

By the definition of a parabola, "distance of a point on parabola is equidistant from focus and directrix".

Distance from focus of the given point = [tex]\sqrt{(x+7)^2+(y+5)^2}[/tex]

Distance of the point from directrix = [tex]\sqrt{(x+4)^2}[/tex]

Therefore, equation of the parabola will be,

[tex]\sqrt{(x+7)^2+(y+5)^2}=\sqrt{(x+4)^2}[/tex]

[tex](x+7)^2+(y+5)^2=(x+4)^2[/tex]

x² + 14x + 49 + y² + 10y + 25 = x² + 8x + 16

y² + 14x + 10y + 74 = 8x + 16

y² + 10y + 6x + 58 = 0

Answer:

(y+5)^2/6 - 11/2

Step-by-step explanation:

Answer:

let the email be written by him.

Answer:

the length of the minute hand is 36/100 . 150 = 54 (mm)

y is the distance between the minute hand and the hour hand now

x is the angle beween the minute hand and the hour hand, so we have:

cos x = 36/54 = 2/3 => sin x = [tex]\sqrt{1-(\frac{2}{3})^{2} }=\frac{\sqrt{5} }{3}=\frac{y}{54}[/tex]  => y = 18√5 (mm)

a) see in the ques, u can see that in 45', the minute hand will move a distance equal to 2 times its length and a distance = 2.18√5 (mm)

=> the distance which the minute hand will move is 54.2 + 2.18√5 = 188,50 (mm)

b) the distance which the minute hand will move in 1h is 54.4 - 18√5 = 175,75(mm)

the distance which the hour hand will move in 1h is 36.4 = 144 (mm)

=> the minute hand will move: 175,75 - 144 = 31,75(mm) further than the hour hand

Step-by-step explanation:

Answer:

Number of elves= 80 elves

Step-by-step explanation:

If 9 elves can pack 27 toys per hour. This means that each elf packs 3 toys per hour:

Toys per elf= 27/9 = 3

Now, we need to determine the number fo elves needed to pack 240 toys per hour:

Number of elves= number of toys/toys per elf

Number of elves= 240/3

Number of elves= 80 elves

Answer:

Step-by-step explanation:

Given the equation;

[tex]\dfrac{k}{100} = \dfrac{1}{10}[/tex]

We are to find the value of k.

Cross multiply;

[tex]\dfrac{k}{100} = \dfrac{1}{10} \\10 \times k = 100 \times 1\\10k = 100\\[/tex]

Divide both sides by 10

[tex]10k/10 = 100/10\\k = 10[/tex]

Hence the value of k is 10

Answer:

100/9

Step-by-step explanation:

On Khan

Answer:

The second one

Step-by-step explanation:

4x-y=14

4(y+2) -y=14

4y+8-y=14

3y=14-8

3y=6

y=2

x=2+2

x=4

Answer:

y=2 x=4

a. (4,2)

simple. easy. awesome. xfinity

Answer:

cannot be simplified.

Answer:

Step-by-step explanation:

The red lines indicate corresponding angles. Here we see 2 corresponding congruent sides and 1 corresponding congruent angle. The SAS postulate states that we can conclude a triangle is congruent if we have 2 sides and 1 angle as being congruent. However, on closer inspection, we will notice that the angle is not actually corresponding. The first triangle has the angle between the two sides marked, but the second one has the angle on the other side marked. Because of this, we cannot conclude the triangles are congruent.

Answer:

3/k = 4/5

k = 3 divided by 4/5

k = 3.75

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

The least possible value is when 20x^2 = 0. All other values give a larger value than 0. Thus, the minimum value for y = 24.

Answer:

24

Step-by-step explanation:

Answer:

acc = force /mass

30/40 = 0.75 m/s2

Answer:

x=-9

Step-by-step explanation:

-7x=63

x = 63 ÷ -7 = -9

9514 1404 393

Answer:

  k = 5

Step-by-step explanation:

Suppose the distance to the factory is 1 unit. Then the speed the father walks is ...

  speed = distance/time = 1 / 30 . . . . units per minute

When the father leaves 10 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = 1/30(t +10)

Similarly, when the father starts 5 minutes earlier than the son, his position t minutes after the son starts walking is ...

  d = (1/30)(t +5)

We want that to be the same as the distance the son covers t minutes after he starts walking. The son's progress is ...

  d = 1/20t

To find the value of k such that the distance covered is the same 2k minutes after the son starts, we will use t=2k and d=d, so ...

  (1/30)(2k +5) = (1/20)(2k)

  4k +10 = 6k . . . . . multiply by 60

  10 = 2k . . . . . . . . . subtract 4k

  5 = k . . . . . . . . . . . divide by 2

__

The attached graph shows the different scenarios, where the blue line is the son's progress. When the father starts 5 minutes earlier, the son meets him half-way to the factory after 10 minutes, so k = 10/2 = 5.

Answer:

D. 58cm

Step-by-step explanation:

Hi Alondra, umm...  I looked this up and saw your name. This is on the final right.

Andrew Moreno

Answer:

An ice cream cone has a height of 11cm and a diameter of 4.5 cm. Which value best represents the amount of ice cream the cone can hold.

Step-by-step explanation:

Answer:

The taxi ride was 14 miles long.

Step-by-step explanation:

So we know that he payed 29 $. Out of this 29$ 1$ was the pick up fee. So we know that 28$ were spend on distance that the taxi had to ride. We also know that Wyatt has to pay 2$ for each mile so in order to get the total number of miles the car drove we will have to divide the amount of money that was paid for the actually distance traveled by two. And so we get that our answer is........

28$ / 2$ = 14

Answer:

To Get a new phone

Step-by-step explanation:

Answer:

The real solutions of f(x)=0 are: 0, 2, 5, 6

Step-by-step explanation:

We are given:

The graph of y = f(x)

We need to find all of the real solutions of f(x) = 0?

By looking at the graph we need to find the values of y when x =0

Looking at the graph, when x=0 we get

0, 2,5 and 6

So, the real solutions of f(x)=0 are: 0, 2, 5, 6

I am attaching the figure, that determines the answers.

Answer:

D

Step-by-step explanation:

Angle 1 is 112

Angle 2 is 68

Angle 3 is 90

Angle 4 is 90

Angle 5 is 22

Angle 6 is 158