Find the solutions to (x + 4)^2 = 49
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Answer:

11.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 53 = x/15

15 sin 53 = x

11.97953265 = x

Answer:

m = 8 and c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x ← is in slope- intercept form, that is y = 8x + 0

with m = 8 and c = 0

Answer: 75/8= 9 3/8

Step-by-step explanation: Area = 1/2 X b X h

1/2 X 5 X 15/4 =

75/8=9 3/8

Answer:

4√5

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Coordinates given:

H(8, 1)

G(0, -3)

d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5

Answer:

StartRoot 80 EndRoot

80 square root is the answer

Step-by-step explanation:

|GH|² = (8 - 0)² + (1 - (-3))²

|GH|² = 64 + 16

|GH|² = 80

GH = sqrt(80)

pls mark as brainliest

Answer:

Graph A

Step-by-step explanation:

You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!

Answer:  A (the first graph)

Step-by-step explanation:

Inverse is when you swap the x's and y's

A = (x, y)  →   A⁻¹ = (y, x)

I took three points from the graph (labeled A, B, C) and found their inverse.

A = (-7, 0)  →   A⁻¹ = (0, -7)

B = (0, 7)   →   B⁻¹ = (7, 0)

C = (9, 9)  →   C⁻¹ = (9, 9)

see graph below

Answer:

Step-by-step explanation:

Negative Radicand

The roots of the equation are imaginary because of negative radicand.

An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.

According to the given question.

We have to take square root both sides of the equation.

Then we get imaginary roots only when there is some negative number under the radical symbol. That is when the radicand is negative.

Hence, the roots of the equation are imaginary because of negative radicand.

Thus, option 1 is correct.

Find out more information about imaginary roots here:

https://brainly.com/question/12436700

#SPJ3

Answer:

Chicken = 500 g

Peppers = 1 kg

Onions = 10 g

Spice mix = 10 g

Tortillas = 14

Step-by-step explanation:

5 × 3 = 15

What the recipe indicates she needs

400 × 3 = 1200

600 × 3 = 1800

70 × 3 = 210

20 × 3 = 60

10 × 3 = 30

Subtract what she needs from what she has

1200 - 700 =  500 g

1800 - 800 = 1000 g

210 - 200 = 10 g

60 - 50 = 10 g

30 - 16 = 14 tortillas

Answer:

qhdlqywylvly

Step-by-step explanation:hqiufqwbuif

Answer:

See below.

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). This is because even though the order is switched, the result will remain unchanged and they are equal to each other.

Answer:

Commutative Property of addition

Step-by-step explanation:

This statement demonstrates the commutative property (of addition). means that no. After the order of your calculation, the end result will always be the same.

This is only applicable to addition and multiplication.

Hope this helps

Answer:

What am I supposed to do

Step-by-step explanation:

Answer:

350$

Step-by-step explanation:

600 = total in checking account.

250 = left in checking account after transaction.

600-250 = 350

meaning the most she can spend on a computer is 350$.

Answer:

t ≤ 350

Step-by-step explanation:

Which inequality represents all possible values of t ?

According to 3 sources I found online this should be correct! Let me know if anything else is needed asap!

Answer:

30 cans

Step-by-step explanation:

We can use ratios

15 cans                  x cans

----------------      = ------------------

7*2 people days     4*7 people days

Using cross products

15 * 28 = 14 * x

Divide by 14

15 * 28/14 = x

30 =x

Answer:

A. (2,-1) i thought this is hard but its kind of easy actually

Step-by-step explanation:

so you just put the given options into the xs and ys.. so lets say we have (2,-1) 2=x -1=y

now put them into the equations.. y=x-3

-1=2-3( if this is true than this is the right answer)

y= -x +1

-1= -2 +1 (this is also correct)

Answer:

(-4,8)

Step-by-step explanation:

(-1, 2) => (x, y)

is translated 6 units up => 2+6 = 8

3 units left => -1-3 = -4

the coordinates of A′ => (-4, 8)

would appreciate brainliest!

Answer:

A domain is part of a function f if f is defined as a triple.

Step-by-step explanation:

A domain is part of a function f if f is defined as a triple (X, Y, G) where X is called the domain of f, Y its codomain, and G its graph. A domain is not part of a function f if f is defined as just a graph.

I hope this helps. I am sorry if you get this wrong.

Answer:

a = - 8

Step-by-step explanation:

A polynomial divided by factor (x - h) has a remainder given by f(h)

Here the divisor is (x - 2), thus f(2) gives the remainder, that is

2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder

8 + 8 - 14 + a = 4, that is

12 + a = 4 ( subtract 12 from both sides )

a = - 8

Answer:

b. is correct

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Answer: 3/8

Step-by-step explanation:

When you subtract fractions, you want them to have a common denominator.

[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]

This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.

[tex]\frac{9}{24} =\frac{3}{8}[/tex]

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 68.5

σ = 2.7

the probability that a student's height is between 67.5 and 71.0 inches exclusive is expressed as

P(67.5 < x < 71.0)

For x > 67.5,

z = (67.5 - 68.5)/2.7 = - 0.37

Looking at the normal distribution table, the probability corresponding to the z score is 0.36

For x < 71.0

z = (71.0 - 68.5)/2.7 = 0.93

Looking at the normal distribution table, the probability corresponding to the z score is 0.82

Therefore,

P(67.5 < x < 71.0) = 0.82 - 0.36 = 0.46

The number of students whose height is between 67.5 and 71.0 inches is

0.46 × 1000 = 460 students

The probability that a student's height is greater than or equal to 74.0 inches is expressed as P(x ≥ 74)

P(x ≥ 74) = 1 - P(x < 74)

For x < 74,

z = (74 - 68.5)/2.7 = 2.04

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

P(x ≥ 74) = 1 - 0.98 = 0.02

The number of students whose height are greater than or equal to 74.0 inches is

0.02 × 1000 = 20 students

Answer:

parallelogram

Step-by-step explanation:

Its a parallelogram.

Answer

parallelogram

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

∠ 2 + ∠ 3 = 90° ← True

∠ 5 = ∠ 3 ← False

∠ 2 = ∠ 5 ← True ( vertical angles )

∠ 4 = 90° ← True

Thus the statement that you cannot make is ∠ 5 = ∠ 3 → B

Answer:

the answer is 18000

Step-by-step explanation:

900 gallons multiply 20

so our answer is =18000

Answer:

18000

Step-by-step explanation:

Answer:

x≤1/2

Step-by-step explanation:

4x+16 ≤18

Subtract 16 from each side

4x+16-16 ≤18-16

4x≤2

Divide by 4

4x/4 ≤2/4

x≤1/2

Answer:

(B) A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10

Step-by-step explanation:

I just took the quiz on edge

Answer:

B

Step-by-step explanation:

Answer:

i know that D is correct

elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)

in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4

put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2

Answer: (4,2)

Step-by-step explanation:

You can solve this systems of equation by substitution, graphing, and elimination

Solving by Elimination was found to be the easiest for me.

3x+2y=16

2x-2y=4

eliminate 2y because a positive and a negative will equal zero.

3x+2x=5x, 16+4=20

5x=20, divide 5 on both sides

x=4

Now we solve for y

You can plug in 4 for x in either equations

I did the first equation

3(4) +2y=16

3*4=12

12+2y=16

-12        -12

2y=4

divide 2 on both sides

y=2

Answer is (4,2)

Mark brainlist please

Answer:

  £53,205

Step-by-step explanation:

Megan paid ...

  0 on the first £11,000

  .20 of the next £43,000 -11,000 = £6400

  .40 of the next £150,000 -43,000 = £42,800

  .45 of the next £158,900 -150,000 = £4,005

So, her total tax bill is ...

  £6,400 +42,800 +4,0005 = £53,205

Megan paid a total of £53,205 in tax.

Answer:

35(3+1m)

Step-by-step explanation:

35(3+1m)

105+35m

Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

Making y subject of formula

16x = 65y

y = 16x/65

An expression for y in terms of x:

y = 16x/65

An expression for y in terms of x is :

y = 16x/65

Given:

Consider, the image attached:

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Thus,

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE =

[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)

On substituting the given values:

(x+y)/y = (DC/EB)²

(x+y)/y = (9/4)²

x+y = (81/16)y

x = (81/16)y - y

x = (81y - 16y)/16

x = 65y/16

In terms of y:

16x = 65y  

y = 16x/65

Therefore,  an expression for y in terms of x:  y = 16x/65

Learn more:

brainly.com/question/16654393

Answer:

2....6......10........14.......18

Step-by-step explanation:

Add 4 each time

Answer:

A. Because the coefficient of time is negative .

The value of t decreases as time passes .

The temperature of the coffee decreases as time passes and the coffee will evemtually cool down to room temperature

B. At the beginning , t=0

Hence Temperature will be 80 + 120 = 200º

c. He wont be alright . High temperature , less time to cool down . So he wont be alright . Coffee might still be hot .

D. Assuming the temp is 130º

80 + 120ᵅ⁻⁰·⁰⁰⁸ˣ = 130

120ᵅ⁻⁰·⁰⁰⁸ˣ =130-80

120ᵅ⁻⁰·⁰⁰⁸ˣ =50

a-0.008x =(50/120)

0.008x = ln(0.416)

x = 10.962 =11mins

so he has to wait 11 mins to drink.

Step-by-step explanation:

f(t)=80+120e^(-0.08t)

-----------------------

Coffee is still hot. He won't be alright. He needs to wait more

best time is ≈ 14 min