Evaluate the following when a = 4 and b = 7 (a+b)^2 - (a^2 + b^2)

Answer:

20 comic books

Step-by-step explanation:

Let us first set up a variable, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an equation and solve for x:

[tex]x+x+12=28\\2x+12=28[/tex]

Now that we have a simplified version of the equation, let us solve for x by isolating the variable on the left side:

[tex]2x=28-12\\2x=16\\x=8[/tex]

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us add 12 to x:

[tex]x+12=\\8+12=\\20\\[/tex]

Therefore, Jared has 20 comic books.

I hope this helps! Please let me know if you have any further questions :)

Answer:

Step-by-step explanation:

(7x + 9)° is corresponding angle to (9x + 5)° angle

Therefore:

m║n      ⇒      (7x + 9)° = (9x + 5)°

(7x)° + 9° = (9x)° + 5°     {subtract (7x)° from both sides}

9° = (2x)° + 5°                    {subtract 5° from both sides}

4° = (2x)°                           {divide both sides by 2°}

 x = 2

Answer:

y=1/-4x+4

Step-by-step explanation:

hey

Step-by-step explanation:

Slope (x) is rise/run. From one intersecting point to the next, we find it is moving 4 y down and 1 x over. Using this we conclude the slope is -4/1x (or -4x)

The second number in the system is b, or y-intercept. The line intercepts at 4y. If we combine these together, the outcome is y = -4x + 4

Answer:

The mean would increase

Step-by-step explanation:

The mean would increase

78 is lower than the mean so if you take out a value that's lower than the mean it would obviously increase

Answer:

-7

Step-by-step explanation:

Hey there

Let's solve your equation step-by-step.

2c+3=−11

Step 1: Subtract 3 from both sides.

2c+3−3=−11−3

2c=−14

Step 2: Divide both sides by 2.

2c/2 = -14/2

c=−7

Have a wonderful day

Answer: This is middle school math?! Man I feel bad for you...

First one: ZZXY

Middle one: ZYXZ

Last one: ZXZY

Answer:

mark the other guy brainliest I answer so he can get it

Step-by-step explanation:

Answer:

1.4 estimate: 1

Step-by-step explanation:

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

85 the 21st term of the sequence.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

To lean more on Arithmetic progression click:

brainly.com/question/28898589

#SPJ5

Answer:

D

Step-by-step explanation:

Answer:

C) 11.4

Step-by-step explanation:

Answer:ayyyy more free points

Step-by-step explanation: so i can ask questions

\

Answer:

i may be entirely wrong but evelyn has more days

susan=18

evelyn=20.75 or 21 if rounded

Answer:

Step-by-step explanation:

1/2+p= -3

p= -3-1/2

p= -3.5

hope it helped? (3

Answer:

imma say 12 guests

Step-by-step explanation:

sorry if wrong

nice :) good for u, wish i could just say that straight up lol

Answer:

So it depreciates at a rate of 1.4% so 25% a year and you do £2700 multiply by 25 each year £2700 multiply by 25 x 5 = £540 in 5 years

Step-by-step explanation:

Answer:

£

2516.22

Step-by-step explanation:

£

2516.22

Answer:

Height of the tree is 40.0 meters.

Step-by-step explanation:

From ΔABC,

m∠ABC = 90°

Since, m∠ABC = m∠CBD + m∠ABD

90° = 6° + m∠ABD

m∠ABD = 90°- 6° = 84°

By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

84° + 29° + m∠BDA = 180°

m∠BDA = 180° - 113°

             = 67°

By sine rule in ΔABD,

[tex]\frac{\text{sin}(\angle BDA)}{d}= \frac{\text{sin}(\angle ABD)}{h}[/tex]

[tex]\frac{\text{sin}(67)}{37}= \frac{\text{sin}(84)}{h}[/tex]

h = [tex]\frac{\text{sin}(84)\times 37}{\text{sin}(67)}[/tex]

h = 39.98

h ≈ 40.0 meters

Therefore, height of the tree is 40.0 meters.

The sine rule is the ratio of the side length to the sine of the opposite angles. Then the height of the tree is 40 meters.

Trigonometry deals with the relationship between the sides and angles of a triangle.

Because of prevailing winds, a tree grew so that it was leaning 6º from the vertical.

At a point d = 37 meters from the tree, the angle of elevation to the top of the trees is a = 29° (see figure).

∠ABC = 90

We have

In ΔABC

∠ABC = ∠CBD + ∠ABD

∠ABD = 90 - 6

∠ABD = 84

By triangle sum in ΔABD, we have

∠ABD + ∠BDA + ∠DAB = 180

                            ∠BDA = 180 - 84 - 29

                            ∠BDA = 67

Then by the sine rule, we have

[tex]\begin{aligned} \dfrac{\sin \angle BDA}{d} &= \dfrac{ \sin \angle ABD }{h}\\\\\dfrac{\sin 67}{37} &= \dfrac{\sin 84}{h}\\\\h &= \dfrac{\sin 84} \times 37{\sin 67}\\\\h &= 39.98 \approx 40 \end{aligned}[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

0.30

Step-by-step explanation:

Given that:

Total number of trials = 61

Number of orange chews = 38

Number of cherry chews = 5

Number of peach chews = 18

Probability that next chew removed will be a peach chew ;

This is an experimental probability problem ;

Using the relation :

Experimental probability of A;

Number of successes (A) / total number of trials

Hence, Probability that next chew removed will be a peach chew ;

Experimental probability of peach chew :

Number of trails = 61 ; number of successes (peach chew) = 18

P(peach chew) = 18 / 61

P( peach chew) = 0.2950819

= 0.30 ( nearest hundredth)

Answer:

2.007;2.07;2.09;2.714;2.741

Step-by-step explanation:

2.007 is the least and 2.741 is the greatest

Answer: 2.007, 2.07, 2.09, 2.714, 2.741

Step-by-step explanation:

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

Answer: y+7= 3(x-5) C

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12 is the area

Since,

6×2=12

Answer:

Equation: 5b + 7 = 3

Step-by-step explanation:

Unknown number = b

5 times of number = 5b

Sum of 5b and 7 = 5b + 7

Equation;

5b + 7 = 3

Answer:

The answer is [tex]4.5^7[/tex]

Step-by-step explanation:

This is because there are 7 copies of the same number and that means you have to put 7 at the exponential part of it. Then you have to put the original number under the exponential spot. Therefore, the answer is [tex]4.5^7[/tex].

Answer:

£3,800

Step-by-step explanation:

The computation of the total cost is shown below;

Each person cost is

Travel cost £250 (assume for 7 days)

Hotel cost £50 × 7 days = £350

Spending money £350 (assume for 7 days)

Cost for each person is £950

Since there are four persons, so the total cost would be

= £950 × 4 peoples

= £3,800

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]