If a^2 -b^2 =12 and a-b=4 what is the bay of a +b

Answers

Answer 1

Answer:

a+b = 3

Step-by-step explanation:

a = b+4

a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12

8b=-4

b = - 1/2

a = 3.5


Related Questions

Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?

Answers

Answer: 7 hr

Step-by-step explanation:

Given

Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]

Speed of Emily [tex]v_e=12\ mph[/tex]

Speed of Kylie [tex]v_k=8\ mph[/tex]

Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]

Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]

[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]

They will meet after 7 hour.

Determine the area of the triangle.
90.6 square units
50.1 square units
94.2 square units
106.0 square units

Answers

Answer:

94.2 square units.

I got 94.09 but that seems to be the closer answer.

Consider the quadratic function f(x) = x2 - 5x + 6.
What are the values of the coefficients and constant in the function?
а
b
c

Answers

Answer:

a=1

b=-5

c=6

Step-by-step explanation:

ax^2+bx+c=0

Is the formula used for this question.

The given function is the same as y = 1x^2 + (-5x) + 6

Compare it to the form y = ax^2+bx+c, and we have the following:

a = 1

b = -5

c = 6

Recipe ingredients remain jn a constant ratio no matter how many serving are prepared. Which table shows a possible ratio table for ingredients C and Y for the given number of servings

Answers

Answer:

The last table (the bottom one)

Step-by-step explanation:

The ingredients having the same ratio means that, for every number of servings, we should have:

Y/X = constant.

So, for the first table when we have 1 serving, the quotient is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 3/2 = 1.5

The ratios are different.

Then this is not the correct option.

For the second table, when we have 1 serving the ratio is:

Y/X = 2/1 = 2

when we have two servings:

Y/X = 4/2 = 2

when we have 3 servings:

Y/X = 8/3 = 2.66

This is not the correct option.

For the third table:

1 serving:

Y/X = 2/1 = 2

2 sevings

Y/X = 3/2 = 1.5

This is not the correct option.

fourth table:

1 serving:

Y/X = 2/1 = 2

2 servings

Y/X = 4/2 = 2

3 servings

Y/X = 8/4 = 2

Here we can see that the ratio is always the same, then the ratio remains constant.

This is the table that shows a possible ratio for ingredients X and Y,

What number, divided by 3/7 , will result in a value of 2 1/3?

Answers

bro you still in school??

Find the value of `x´ in the given parrallelogram.​

Answers

X=9

3x-12=x+6
2x-12=6
2x=18
X=9
The value of x is 9 cm in the given parrallelogram.

Step-by-step explanation:

=> (3x-12) =(x+6)

or,3x - x = 6 + 12

or,2x = 18

or,x = 18/2

: x=9#

Help me plz to find product

Answers

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you ☺️

What ordered pairs are the solutions of the system of equations shown in the graph below?

Answers

Answer:

(1,-3) and (4,-6)

Step-by-step explanation:

The solutions are where the linear line intersects the graphed parabola.

10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b

Answers

Let the height of the rectangle = h

2b + 2h = 100

2(38) + 2h = 100

2h = 100 - 76

h = 12mm

area of rectangle = base x height

= 38 x 12

= 456mm²

Answer:

456mm²

Step-by-step explanation:

using formula;

b/2( P - 2b) = A

substitute values

Marlena is one-sixth the age of her mom. If Marlena is 5 years old, how old is her mom?

Answers

Answer:

30 years old

Step-by-step explanation:

If marina is one sixth of her mom age, and she is five years old. The multiply five times size to get her moms full age.

Answer:

30 years

Step-by-step explanation:

Let,

Age of her mom be = x

Age of Marlena

[tex] = \frac{1}{6} x[/tex]

We know that,

Age of Marlena is 5 years

Therefore,

By the problem,

[tex] = > \frac{1}{6} x = 5[/tex]

=> x = 5 × 6

=> x = 30

Hence,

Age of her mother is 30 years (Ans)

what is the y-coordinate of the red point?

Answers

The y-coordinate of the red point is -3.

Please help ASAP and please explain how you got the answer.

Answers

Answer:

The third one

Step-by-step explanation:

All show complementary angles ( angles that add up to 90 degrees ) except for the third one

First one: shows a square within the two angles which indicates that the angles form a right angle ( 90 degree angle ) meaning that they are complementary angles

Second: the angles add up to equal 90 ( 50 + 40 = 90 ) hence they are complementary angles

Third one: the angles form a straight line. Angles that form a straight line add up to equal 180 and are known as supplementary angles

Fourth: the angles shown add up to 90 ( 65 + 25 = 90) hence they are complementary angles

All are complementary but the third one

Hey Help me out please, thanks!

Answers

Answer:

The first one: 0=-3x-5+x²

Step-by-step explanation:

You have to rearrange the equation to identify the coffecients on the quadratic.

Answer:

First one.

Step-by-step explanation:

Put in standard form. Highest exponent to lowest to constant.

[tex]x^{2}[/tex] - 3x - 5 = 0

a[tex]x^{2}[/tex] - bx - c = 0

Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?​

Answers

Answer:

z = 83 / (- c + 6 - t)

Step-by-step explanation:

Given:

-cz+ 6z = tz + 83

z=?​

-cz+ 6z = tz + 83

Collect like terms

-cz+ 6z - tz = 83

Factorize

z(- c + 6 - t) = 83

Divide both sides by (- c + 6 - t)

z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)

z = 83 / (- c + 6 - t)

Answer:

Step-by-step explanation:

Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?

Answers

Answer:

The probability that they each will catch 3 fish is 0.000063956

Step-by-step explanation:

The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes  for both the population and sample.

Here

Population size= N =200

Sample size= n =9= (3*3)

Number of successes in population = k = 3 hours

Number of successes in sample = x= 3

Applying the hyper geometric distribution

P (x=3) = kCx *(N-k) C (n-x)/ N Cn

   = 3 C 3 * 197 C 6/ 200 C 9

    =0.000063956

The probability that they each will catch 3 fish is 0.000063956

question 2 help pls

Answers

x=-2
5-4=1
so whatever is square rooted must be equal to 1
1 squared is 1
-2+3 is one

Answer:

[tex](\sqrt{x+3} )^{2} + 4^{2} = 5^{2}[/tex]

x + 3 + 16 = 25

x + 19 = 25

x = 6

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

If you were asked to equate the sides of an equation, how would you do that​

Answers

Answer:

you would divide an equation from the multiple and then you would simplify the equation for an answer

find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16​

Answers

Step-by-step explanation:

given the geometric sequence 2, -4, 8, -16, ...

a1 = 2

r = -4/2 = -2

find : a9 and a15

solutions:

an = a1. r^(n-1)

=> a9 = 2. (-2)^(9-1)

= 2. (-2)^8

= 2. 2^8

= 2^9

= 512.

=> a15 = 2. (-2)^(15-1)

= 2. (-2)^14

= 2. 2^14

= 2^15

= 32,768

Step-by-step explanation:

Hey there!

The given geometric sequence is: 2, -4, 8, -16.

The;

a1 = 2

Common ratio (r) = T2/T1

= -4/2

= -2

Now;

Use general formula of geometric sequence;

[tex]tn = {a1.r}^{n - 1} [/tex]

Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.

Then;

[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]

or, t9 = 2*256

Therefore, t9 = 512.

Again;

[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]

or, t15= 2*16384

Therefore, t15 = 32768.

Hope it helps!

Which of the following graphs represents the equation y-2 = 3(x - 1)?

Answers

Answer:

Graph B

Step-by-step explanation:

The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.

Someone please help me with this math problem?

Answers

Answer:

D

Step-by-step explanation:

5(x-5)=353 + x

the first 5 is all his tests, in the parenthesis x is the average score, and -5 is the 5 points lower mentioned in the problem.

Answer:

B

Step-by-step explanation:

We are given that Markus scored 85, 92, 82, and 94 on his first four tests and x on his fifth.

We know that his score on the fifth test is five points lower than the average of all five tests.

To find the average, we add up all the values and divide by the number of values there are. Therefore, the average of all five tests is:

[tex]\displaystyle \frac{85+92+82+94+x}{5}[/tex]

Simplify:

[tex]\displaystyle =\frac{353+x}{5}[/tex]

His test score x is five points lower than the average. Hence:

[tex]\displaystyle x=\left(\frac{353+x}{5}\right)-5[/tex]

Rewrite. We can add five to both sides:

[tex]\displaystyle x+5=\frac{353+x}{5}[/tex]

And multiply both sides by five. Hence:

[tex]\displaystyle 5(x+5)=353+x[/tex]

Thus, our answer is B.

Notes:

By solving the equation, we see that x = 82. So, Markus scored 82 points on his fifth test.

If that is true, then his average score of all fives tests will be:

[tex]\displaystyle \frac{85+92+82+94+82}{5}=87[/tex]

82 is indeed five points fewer than 87, so our answer is correct and matches the given information.

A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ

Here is the answer-
Neither angle measure nor segment length is preserved. Here's why-
This sequence includes a vertical stretch, which is neither a rigid transformation nor a dilation.

Answers

Answer:

I don't understand this

Please help me with this

Answers

Answer:

52 in^2

Hope this helps!


A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *

Answers

Answer: 80 feet

Step-by-step explanation:

We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:

5 * 128 = 8x

640 = 8x

80 = x

Thus, the height of the lighthouse is 80 feet tall.

Factor using the perfect squares method:

x^2 - 3x + 16

Answers

Answer:

what are the answer choice?

Step-by-step explanation:

What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?

Answers

Answer:

[tex]y=3x-17[/tex]

Step-by-step explanation:

Parallel equations always share a slope.

So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]

[tex]-5=3(4)+b[/tex]

simplify both sides

[tex]-5=12+b[/tex]

isolate the variable

[tex]-17=b[/tex]

plug [tex]b[/tex] back into the equation and you get

[tex]y=3x-17[/tex]

Answer:

y = 3 x + 11

 Explanation:

Parallel lines have the same slopes.

The slope of the new line will have the same slope as the given line:

y = 3 x − 4

⇒ m = 3

One point on the line is given,  

( − 2  5 ) .

This is  ( x 1  y 1 )

The formula for slope is  

m = ( change in y values/ change in x-values ) =  y 2  −  y 1/ x 2 − x 1

If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.

y  −  y 1 =  m  ( x  −  x 1 )  

y  −  5  =  3 ( x  −  ( − 2 ) )

y  −  5  =  3 ( x + 2 )

Simplify to get the required equation of the line.

y  =  3 x  +  6  +  5

y  =  3 x  +  11

Step-by-step explanation:

find the gradients of line a and b

Answers

Answer:

Gradient of A: 2

Gradient of B: -1

Step-by-step explanation:

Gradient = change in y/change in x

✔️Gradient of A using two points on line A, (2, 5) and (0, 1):

Gradient = (1 - 5)/(0 - 2) = -4/-2

Simplify

Gradient of A = 2

✔️Gradient of B using two points on line B, (0, 5) and (5, 0):

Gradient = (0 - 5)/(5 - 0) = -5/5

Simplify

Gradient of B = -1

The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____. a. becomes negative b. remains unchanged c. will increase d. will decrease

Answers

Answer:

b. remains unchanged

Step-by-step explanation:

Formula for standard error of mean is;

SE = σ/√n

From the above, we can see that the standard error of mean is independent of the confidence coefficient as it doesn't affect the SE.

Now, we are given that;

random sample; n = 100

Standard deviation; σ = 1

Thus;

SE = 1/√100

SE = 1/10

Now, even if the confidence coefficient is reduced, we can see that it has no impact on the standard error of mean.

Thus, SE remains unchanged.

Can someone help me with this math homework please!

Answers

Answer:

11.2

Step-by-step explanation:

[tex]p =\frac{160.16}{14.3}=\frac{160.16*10}{14.3*10}\\\\p = \frac{1601.6}{143}\\\\[/tex]

p = 11.2

Answer:

The person above me is correct I just did the work and I got the same answer as them :)

Step-by-step explanation:

Find the area of the parallelogram

Answers

Answer:

The answer is 32.

Step-by-step explanation:

Just multiply the height by the base length. 4*8=32

Someone help me please !!

Answers

Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.

Step-by-step explanation:

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