Find the side length of the rhombus pictured below.
3x -8
x + 10

Answer:

(-1,3)

Step-by-step explanation:

we need to replace the values x and y for every point and see if the point satisfies all the inequations.

Point (-2,3):

x - y ≥ -4

-2 - 3 ≥ -4

-5 ≥ -4

Then, -5 is not greater than -4, so that point is not a solution.

Point (-1,3):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

-1 - 3 ≥ 4                     2(-1) - 3 ≤ 5             2(3) + (-1) > 1

-4 ≥ -4                        -5 ≤ 5                            5 > 1

Then, (-1,3) is a solution

Point (0,0):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

0 - 0 ≥ 4                      2(0) - 0 ≤ 5             2(0) + (0) > 1

0 ≥ -4                           0 ≤ 5                            0 > 1

Then, 0 is not greater than 1, so that point is not a solution.

Point (2,-2):

x - y ≥ 4                      2x - y ≤ 5              

2 - (-2) ≥ 4                  2(2) - (-2) ≤ 5          

4 ≥ -4                           6 ≤ 5                    

Then, 5 is not greater than 6, so that point is not a solution.

Answer:

Step-by-step explanation:

505 × 68 = 34340

Answer:

34340

Step-by-step explanation:

Plz mark me brainliest!

Answer:

A) $93,504.818

B) $40,000

C) $53,504.818

Step-by-step explanation:

Yearly contribution ( periodic payment) = $4000

Period (p) = 10years

Additional period(y) = 5years

Annual interest(r) = 9% = 0.09

Future value (FV) =

periodic payment [(1 + r)^y - 1] / r

4000 [(1 + 0.09)^10 - 1 / 0.09]

4000[1.09^10 - 1 / 0.09]

4000[1.3673636 / 0.09]

4000(15.192929)

= 60771.716

If left for five more years:

FV = 60771.716(1 + r)^n

FV = 60771.716(1 + 0.09)^5

FV = 60771.716(1.09)^5

FV = 60771.716(1.5386239549)

FV = $93,504.818

B) MR. HUGHES CONTRIBUTION :

Periodic payment × p ; $4000 was deposited annually for 10 years.

$4000 × 10 = $40,000

C) Interest = Future value - contribution

$93,504.818 - $40,000

= $53,504.818

Answer:

[tex]cos^{-1}(\frac{5}{13} )[/tex]

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

Answer:

Slope=  [tex]\frac{-3}{5}[/tex]

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]

⇒Answer:

[tex]\frac{9}{20}[/tex]

⇒Step-by-step explanation:

Well 45% is saying it is 45% out of 100,

So we can make the following fraction

45/100

Then we simplify by dividing 45 and 100 by 5

Hence, the answer is [tex]\frac{9}{20}[/tex]

Answer:

6d+6 is the correct answer

Step-by-step explanation:

Answer:

69, nice

Step-by-step explanation:

118-49=69

Answer:

i think its 69, but i think im wrong

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

9 is not a perfect cube.

18 is not a perfect cube.

27 is a perfect cube.

∛27 = 3

36 is not a perfect cube.

Answer:

27

Step-by-step explanation:

We want a number time itself times itself

27 = 3*3*3

27 = 3^3

Answer:

lines NP and OP are intersecting

Step-by-step explanation:

they touch at point P

Answer:

144π or 452.4

Step-by-step explanation:

Volume of a Sphere Formula: V = 4/3πr³

Step 1: Plug in 6 for r

V = 4/3π(6)³

V = 288π

Step 2: Divide by 2

V = 288π/2

V = 144π

Answer:

Step-by-step explanation:

Using the formula for calculating heat energy H = mcΔT

m = mass of the aluminum (in g/kg)

c = specific heat capacity of aluminum

ΔT = change in temperature = T - Ti (in °C)

T is the final temperature

Ti is the initial temperature

Given m = 100.0g,  c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?

Substituting the given values into the formula;

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

The final temperature of the metal is 31.81°C

Answer:

31.81c

Step-by-step explanation:

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

Answer: 3π

I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.

Step-by-step explanation:

To convert from degrees to radians, you multiply by π/180.

[tex]540*\frac{\pi }{180} =3\pi[/tex]

Answer:

from left: 220, 177

Step-by-step explanation:

unit rate = first derivative = slope

first graph;

slope = (880-660)/(4-3) = 220 ft/min

2nd graph;

slope = (177-0)/(1-0) = 177 ft/min

Answer:

hope its wht u require....

Answer:

190 cards

Step-by-step explanation:

Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:

2 + 3 + 7 = 12

If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:

152 * 3 = 456 cards

Elle's share is therefore:

2 / 12 * 456 = 76 cards

Mandy's share is:

7 / 12 * 456 = 266 cards

Therefore, the number of cards that Many received more than Elle is:

266 - 76 = 190 cards

Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

Answer:

B

Step-by-step explanation:

sohcahtoa for right triangles

Answer:

No, because triangle XYZ is not a right triangle

Step-by-step explanation:

Since this is not a right triangle, we cannot use trig functions

Answer:

12

5

13

Step-by-step explanation:

Answer:

X= 48.125

Step-by-step explanation:

Answer:

Option A -- 0.46

Step-by-step explanation:

The answer is the x-coordinate of the point of intersection, which is 0.46

The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.

From the information given, the equation is given as log(6x + 10) = log 1/2x

In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.

By using graphing, it can be deduced that one will draw both graph on the same coordinate place.

From the graph, y1 and y2 simply intersect at point (0.46,1.12)

Therefore, the curve intersect at approximately x=0.46.

Learn more about equations on:

https://brainly.com/question/1214333

Answer:

105 degrees

Step-by-step explanation:

Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.

the angles all together is 180 degrees

so 180 - 75 = 105 degrees

The measure of angle CFD is 105 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Angle DEF = 75°.

Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.

Angle DFE + Angle CFD = 180  (angle on a straight line)

so 180 - 75 = 105 degrees

Thus, Angle CFD = 105 degree

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ2

Answer:

a. The graph is non-linear. If the graph was linear, it would be one continuous straight line.

b. The graph is increasing from x = 0 to x = 2, constant at x = 2 to x = 3, and decreasing from x = 3 to x = 5. So, [0, 2) is increasing, [2, 3) is constant, and [3, 5] is decreasing.

c. The ant starts to travel 6 cm away from the nest for 2 seconds. Between 2 to 3 seconds, it stays the same distance away. Then, after 3 seconds, it comes back to the base. At 5 seconds, it has returned.

Step-by-step explanation:

Answer:

Part A: it is linear because it is not curving and it consists of straight lines.

Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.

Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.

Step-by-step explanation:

Answer:

x+4/5x

Step-by-step explanation:

x is increased by 80% 0f it self

80%of x= 4/5x

... x+4/5x

Answer:

[tex]\frac{(p + 2)m}{p}[/tex]

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

[tex]m = k * p[/tex]

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

[tex]k = \frac{m}{p}[/tex]

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

[tex]k = \frac{x}{p + 2}[/tex]

Equate both expressions of k; to give

[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]

Multiply both sides by p + 2

[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]

[tex](p + 2) * \frac{m}{p} =x[/tex]

[tex]x = (p + 2) * \frac{m}{p}[/tex]

[tex]x = \frac{(p + 2)m}{p}[/tex]

Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]

Answer: 7, 14, 21, 28

Step-by-step explanation:

Let first multiple = x

So, second multiple = x + 7

Third = x + 14

Fourth = x + 21

According to the question,

=>x + (x + 7)+ (x + 14) + (x + 21) = 70

=>4x + 42 = 70

=>4x = 28

=>x = 7

So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

Answer:

  [tex]a=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}[/tex]

Answer:

Step-by-step explanation:

Use distributive property

15a + 9 = 3*5*a + 3*3

           = 3 (5a + 3)