Find the y-intercept of the following equation. Simplify your answer.


y
=
–6
7
x
+
5
9


y-intercept =

Answer:

probably a. metres

Step-by-step explanation:

hectometres are huge and the other two are super small so thats my guess lol

Answer:

Step-by-step explanation:

A square meters-

Millimeters are super small

And the other ones are to huge

Dats easy

Answer:

(D) [tex]\angle CAB[/tex].

Step-by-step explanation:

The diagram is attached below:

Theorem: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

The exterior angle is the angle formed by the third side and a straight line which forms a supplementary angle with the third interior angle.

In the diagram:

[tex]\angle ABF$ and \angle AFB[/tex] are opposite interior angles.

The third angle is [tex]\angle BAF[/tex]

The angle which forms a supplementary angle with [tex]\angle BAF[/tex] is [tex]\angle CAB[/tex].

Therefore, the exterior angle of triangle ABF is  [tex]\angle CAB[/tex].

Answer:

D

Step-by-step explanation:

Just took the test and got it right

Answer:

Step-by-step explanation:

The first two steps are for the purpose of eliminating fractions.  Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.

Perform the indicated multiplication, obtaining:

8x - 20 = 9x - 18.

Then combine like terms:  -2 = x, or

x = -2.

To complete the formal check, substitute -2 for x in the first equation.  This results in:

(1/3)(-4 - 5) = (3/4)(-2 -2), or

        -3       =        -3

... which is obviously true.  

Answer:

Step-by-step explanation:

Answer:

32cm

Step-by-step explanation:

i think it is  symmetry of order 2 as it's rotational symmetry is 180°

Answer:

It has rotational symmetry of order 2 as it's rotational symmetry is 180°

Answer:

97

Step-by-step explanation:

y=mx+b

m= slope

y=97x+1

Answer:

1). Surface area of the prism = 112 cm²

2). Area of the sphere = 615.8 cm²

Step-by-step explanation:

1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides

Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                          = [tex]\frac{1}{2}(3)(7)[/tex]

                                          = 10.5 cm²

Area of a rectangle = Length × width

Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)

                                                            = 15 + 40 + 35

                                                            = 90 cm²

Surface area of the prism = (2 × 10.5) + 90

                                           = 21 + 90

                                           = 112 cm²

2). Surface area of the sphere = 4πr²

                                                  = 4π(7)²

                                                  = 615.75

                                                  ≈ 615.8 cm²  

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The number of guests is the independent variable and should be between 1 and 50.  We can use a scale of 10's

The cost is the dependent variable and the minimum cost is 100 and should rise from there

The scale would be from 100 's

Answer:

250 g

Step-by-step explanation:

160 g after two bites

80% after 1 bite

[tex]\frac{80}{100} =.8[/tex]

160 ÷ .8=200

200 ÷ .8=250

Answer:

250

Step-by-step explanation:

We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!

Answer:

19

Step-by-step explanation:

We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.

Answer:

19

Step-by-step explanation:

(19^1/9)^9

19^(1/9*9)

19^1

19

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f + g)(x) = (5x - 2) + (2x + 1)

Combine like terms.

(f + g)(x) = 7x - 1

So, (f + g)(x) equals 7x - 1

Answer:

C) 3x

Step-by-step explanation:

There are three feet in a yard. Yards are represented by x in this problem and therefore the answer is 3x.

Answer:

(-1,6)

Step-by-step explanation:

When you reflect over the y-axis, the x value becomes the opposite sign

Answer:

-1 6

Step-by-step explanation:

i copied the first answer

The correct answer is Pentagon 2 or B

Explanation:

In mathematics and related disciplines, a line of symmetry is a line that divides a figure, for example, a triangle, circle, or pentagon into two symmetrical or equal sides. This means you can fold the image following the line and both sides will be identical. This occurs in the second pentagon because the line that begins in the top of the figure divides it into two equal sides. Indeed each of the sides includes half of the base and two angles that coincide if you fold the figure following line.

Answer:

its b

Step-by-step explanation:

literally the only one you can fold in half

Answer:

Step-by-step explanation:

Let the number be x

Take away 1: x -1

Then multiply the result by 3:  (x- 1) * 3 = (x-1)3 or 3x - 3

Answer:

x=1 y=-4

Step-by-step explanation:

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 1 → (1)

y = - x - 3 → (2)

Since both are expressed in terms of y, equate the right sides, that is

- x - 3 = - 5x + 1 ( add 5x to both sides )

4x - 3 = 1 ( add 3 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 1 - 3 = - 4

Solution is (1, - 4 )

Answer:

60 degrees

Step-by-step explanation:

Since the two lines are intersecting, the angles formed by them are vertical angles. Therefore:

2x+24=144

2x=144-24=120

x=120/2=60

Hope this helps!

Step-by-step explanation:

Therefore,

2x+24= 144° [ Vertically positive angles]

Or, 2x= 144-24

Or, 2x= 120

Or, x= 120/2

Therefore, x= 60°

Answer:

3/5

Step-by-step explanation:

cos F = adjacent side/ hypotenuse

Cos F = 6/10

Cos F = 3/5

Answer:

6/10 which is 3/5

Step-by-step explanation:

Answer:

Your answer is B.

Have a great day!

Step-by-step explanation:

I'm so sorry that I do not have an explanation for you. I truly am.

Answer:

B

Step-by-step explanation:

Answer:

rotation then translation

Based on the information given regarding the triangle, the transformations that can be used to map △RST onto △VWX is D. rotation, then translation.

It should be noted that a congruent triangle simply means when two triangles have the same sides and the same angles.

Since Triangle RST can be rotated about point S and then shifted down and to the left to form triangle VWX, the transformations that can be used to map △RST onto △VWX is rotation, then translation.

Learn more about triangles on:

https://brainly.com/question/2644832

Answer:

D. - i

Step-by-step explanation:

i = √( - 1)

i³ = √( - 1)*√( - 1)*√( - 1) = √(-1)² *√(-1) = - 1*i = - i

Answer:

34.5% probability that the jury returns a guilty verdict

Step-by-step explanation:

We have these following probabilities:

If the police can discredit the police department, 15% probability of a guilty verdict.

70% probability of the police department being discredited by the defense.

If the police can discredit the police department, 80% probability of a guilty verdict.

100 - 70 = 30% probability of the defense not discrediting the police.

What is the probability that the jury returns a guilty verdict?

15% of 70% and 80% of 30%. So

p = 0.15*0.7 + 0.8*0.3 = 0.345

34.5% probability that the jury returns a guilty verdict

Answer:

19/ 143

Step-by-step explanation:

There are 19 rock songs out of 143 total

P(rock) = number of rock songs/ total

            = 19/ 143

Answer: 7x-90/x-13

Step-by-step explanation:

f(x)= x+7

g(x)=1/x-13

(f•g)(x)=1/x+13+7

1+7(x-13)/x-13

1+7x-91/x-13

7x-90/x-13

Answer:

(-∞, 0)∪(0, ∞)

Step-by-step explanation:

You are given the functions f(x) and g(x).  Now, you have to find (f*g)(x).  To do this, you have to multiply the two functions.

f(x) = x + 7

g(x) = 1/x - 13

(f*g)(x) = (x + 7)(1/x - 13)

(f*g)(x) = -13x + 7/x + 1 - 91

(f*g)(x) = -13x + 7/x - 90

The domain has to include all of the x-values that will produce a rational number.  So, look at where the x's are locate

-13x:  You could put any rational number into this value and still have a rational number.

7/x:  For this value, you cannot have 0 as an x-value.  Every other number is fine.

This means that the domain will be (-∞, 0)∪(0, ∞).  

You use parentheses and not brackets for the zero side because you don't want to include zero in the domain, but you do want to include all of the other numbers around zero.  There are no brackets on the infinity side because infinity isn't a number.  The ∪ symbol is used to combine domains.

Answer:

Henry=12, Bernard=18

Step-by-step explanation:

let Henry's age = x

let Bernard's age= 1.5x

according to d passage 6yrs ago x×2=1.5x

mathematically that is (x-6)2=1.5x-6

2x-12=1.5x-6

2x-1.5x=-6+12

0.5x=6

divide both sides by the co-efficient of x which is 0.5 can also be written as ½

there fore x=6÷½

x=Henry's age=12years

1.5x=Bernard's age=12×1.5=18years

Answer:

Solution set:  (3, 4) and (4, 3)

Step-by-step explanation:

Please, to indicate exponentiation, use " ^ ":  a^2 and b^2

Then you have:

a + b = 7 and a^2 + b^2 = 25.

Let's eliminate b:  Solve a + b = 7 for b, obtaining b = 7 - a.

Then we have:

a^2 + (7 - a)^2 = 25, or

a^2 + 49 - 14a + a^2 - 25 = 0, or

2a^2 - 14a + 24 = 0, or

a^2 - 7a + 12 = 0, which factors as follows:

(a - 3)(a - 4) = 0

This results in a = 3 and a = 4, in which case the equation a + b = 7 tells us that the b values are 4 and 3 respectively.

Solution set:  (3, 4) and (4, 3)

<AED

Explanation:

B is the mid point of AD.( since AB=BD)

C is the mid point of AB( since AC=BC)

Therefore BC is parallel to DE.

Angle ACB= Angle AEB

Corresponding angles are equal.

And hence, they are congruent.

Hope it helps

Good luck on your assignment

The angle congruent to ∠ACB is B. ∠AED.

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

Congruent Angles have the same angle (in degrees or radians).

Now from the given figure,

In triangle  ABC and triangle AED

AC = CB

BC is parallel to DE

Thus, by law of congruent angles, interior angles are equal,

Thus, ∠ACB = ∠AED

this is the required congruent angle of ∠ACB.

Thus, the angle congruent to ∠ACB is B. ∠AED.

To learn more about congruent angles:

https://brainly.com/question/24887947

#SPJ2

Answer:

The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

Answer:

It's B.

Step-by-step explanation:

I took the test.