Solve system of equations for x + y: -4x + 9y = -11 & -3x + 7y =-9

Answer:

Step-by-step explanation:

You'll need to use parentheses here to remove ambiguity regarding what's in your denominators:

          x - 8                   x - 8

y = ------------------  =  -----------------

      x^2 + 6x - 7        (x + 7)(x - 1)

This last result becomes undefined at x = -7 and x = 1, and thus its graph is discontinuous at those x- values.

The points of discontinuity is x = -7, x = 1

Use parentheses to remove ambiguity considering the denominators

[tex]y=x-8/x^{2} +6x-7[/tex]

= x-8 ÷ (x+7)(x-1)

The result becomes undefined at x = -7

and x = 1,  

thus its graph is discontinuous at those x values.

Therefore the points of discontinuity is x =-7 and x = 1.

Learn more about discontinuity points, refer:

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Answer:

D is the correct answer

Step-by-step explanation:

V=πr2h

3=π·52·12

3≈314.15927

Thank me later

Hope this helps!!!

Answer:

The lenght is 8 cm

Step-by-step explanation:

Answer:

8 cm.

Step-by-step explanation:

The area of the square base = volume / height

= 960/15

= 64 cm^2.

So the length of each side of the square base = √64

= 8 cm.

Answer:

a:  1.8          b: 11.8       c: 23.6

Step-by-step explanation:

Answer:

m arc AJ = 78°

Step-by-step explanation:

If angle A is 101° that means arc LKJ is 202° (the measure of an arc that an inscribed angle intercepts is twice the angle measure).  If arc LKJ is 202° and arc LK is 122°, then arc KJ is 80° (m arc LK + m arc KJ = m arc LKJ).

If angle L is 79°, then the m arc AJK = 158° (the measure of an arc that an inscribed angle intercepts is twice the angle measure). If m arc AJK = 158° and m arc KJ is 80°, then the m arc AJ is 158 - 80 = 78º

edit: i think im right but im not completely sure

edit#2: i checked my answer portal after turning it in and yeah im right

Answer:

[tex]V=150cm^3[/tex]

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the  formula:

[tex]A_T=\frac{bh}{2}[/tex]

where b is the base: [tex]b=4cm[/tex] and h is the height: [tex]h=5cm[/tex]

thus, in this case we have:

[tex]A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2[/tex]

And now, the volume will be the area of the triangle multiplied by the length [tex]l=15cm[/tex] of the prism:

[tex]V=A_T*l[/tex]

Substituting the known values:

[tex]V=10cm^2*15cm\\V=150cm^3[/tex]

The volume in cubic centimeters is 150.

Oml fellow FLVS student here, it would be C.:)

Explanation: I got it right lol

In the given graph, interval C could be described as linear decreasing.

"An  interval is a set of real numbers that contains all real numbers lying between any two numbers of the set."

In the given graph,

A is the interval(0, 2) where the graph is linear increasing.

B is the interval(2, 4) where the graph is constant.

C is the interval(4, 5) where the graph is linear decreasing.

D is the interval(5, 8) where the graph is linear increasing.

Therefore, the required interval is C.

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Answer:

45 x 45 = 2025

Step-by-step explanation:

Answer:

1. 5 times

2. 60 times

Step-by-step explanation:

there is only one a so its 1/4 times 20 and 4 because that is the total

20/4= 5

there is 3 because there is letters that are not a

3/4 times 80

240/4

1. The number of times expected that should be landed on A should be 5 times.

2. The number of times expected should be 60 times.

1. Since A spinner has four equal sections, with one letter from the word "MATH" in each section.

So, here the number of times should be

= [tex]20\div 4[/tex]

= 5

2. The number of times should be

[tex]= 3/4 \times 80\\\\= 240\div 4[/tex]

= 60

Learn more about spinner here: https://brainly.com/question/9222927

Answer:

F(-2)=G(-2)

Step-by-step explanation:

Answer:

70 feet

Step-by-step explanation:

This problem can be answered by using proportions based on similar triangles.

Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)

The same runs for the tree and its shadow.

Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.

We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)

[tex]\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft[/tex]

Answer:

1/2 and 50%

Step-by-step explanation:

5/10 is equal to 1/2 and 50%

Answer:

4, I believe

Step-by-step explanation:

400 students

100 buses

400/100=4

Answer:

4

Step-by-step explanation:

There are 400 students, and 100 buses, so number of student in each bus= 400/100

= 4

Answer:

Step-by-step explanation:

The given lines are

[tex]2x-4y=8[/tex]

[tex]4x+2y=8[/tex]

Let's rewrite each equation in the form [tex]y=mx+b[/tex]

[tex]2x-4y=8\\2x-8=+4y\\y=\frac{2x-8}{4} \\y=\frac{x}{2}-2[/tex]

[tex]4x+2y=8\\2y=8-4x\\y=\frac{8-4x}{2}\\ y=4-2x[/tex]

Now, let's use the perpendicular rule

[tex]m_{1} \times m_{2} =-1\\\frac{1}{2} \times (-2)=-1 \implies -1=-1[/tex]

As you can observe, the slopes satisfy the perpendicular rule, that means the lines are perpendicular.

Therefore, the right answer is the second choice because it states the rule of perpendicularity between the given lines.

Answer:

They are perpendicular because they have slopes that are opposite reciprocals of −2 and .

Step-by-step explanation:

I took the test and the dot is 1/2

Answer:

a) modal number of teachers in a car is 3

b) median number of teachers in a car is 3

c) mean number of teachers in a car is 2.5

Step-by-step explanation:

Answer:

x=15(1/3√y)

Step-by-step explanation:

X varies indirectly with the cube root of y

x=k/3√y

x=3 when y=125

3=k/3√125

3=k/5

3=k(1/5)

k=3÷1/5

k=3×5/1

k=15

x=15(1/3√y)

Answer:

f(x) = 4x, g(x) = [tex]\frac{1}{4}x[/tex]

Step-by-step explanation:

Inverse function is when you switch the x and the y and solve for x

f(x) = 4x

y = 4x

x = 4y

Now solve for x

y = [tex]\frac{1}{4}x[/tex]

g(x) = [tex]\frac{1}{4}x[/tex]

If you try that with the other functions, none of them work.

Answer:

C. f(x)= 4x, g(x)= 1/4x

Step-by-step explanation:

inverse functions are flipping x and y corrdinates so let's plug in x=1 into f(x) and get y = 4

now plug in x = 4 into g(x) and check if the answer is 1 - yes ,it is!

Answer:

what is the math?

Step-by-step explanation:

Answer:

[tex] \dfrac{53}{8} [/tex]

Step-by-step explanation:

[tex] \dfrac{5}{8} = \dfrac{x - 1}{9} [/tex]

Cross multiply.

[tex]8(x - 1) = 9 \times 5[/tex]

[tex] 8x - 8 = 45 [/tex]

[tex] 8x = 53 [/tex]

[tex] x = \dfrac{53}{8} [/tex]

Answer: x = 53/8

Step-by-step explanation:

5/8 = x-1 / 9

45 = 8(x-1)

45 = 8x - 8

-8x = -8 - 45

x = 53/8

Answer: A is correct

Step-by-step explanation:

They’re the only lines perfectly parallel, I got this correct

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

  R(y=x) = (x, y) → (y, x)

Step-by-step explanation:

The coordinates of A are (-2, 1).

The coordinates of A' are (1, -2).

Clearly, the values have been swapped in accordance with ...

  (x, y) → (y, x)

This is the result of a reflection across the line y = x. Hence the rule and its name are ...

  R(y=x) = (x, y) → (y, x)

Answer:

R(y=x) = (x, y) → (y, x)

Step-by-step explanation:

egd2020

Answer:

I THINK its D and E because C can simplify to 2/3 and 1/2 making C wrong.

Step-by-step explanation:

Answer:

B  C  

Step-by-step explanation:

Find the common denominators

For example: 1/3 [tex]\leq[/tex]4/12

It is 12

3 goes into 12 4 times

so now its

?/12[tex]\leq[/tex]4/12

4*1 is 4 so its

4/12[tex]\leq[/tex]4/12

Answer:

92.4 m^2

Step-by-step explanation:

Area of Trapezoid: h(b1+b2)/2

6.6 (14.2 + 7.6 + 6.2) / 2

= 6.6 (28) / 2

= 184.8/2

= 92.4 m^2

Answer:

The bottom left one

Step-by-step explanation:

it has a positive slope

Answer:

I’m pretty sure it’s the bottom left corner one

Step-by-step explanation:

The line increases from left to right, so it has a positive slope

Answer:

x = 8

Step-by-step explanation:

5x - 10 + 7 = 37

5x - 3 = 37

5x = 40

x = 8

Answer:

D and B

Step-by-step explanation:

hope this is correct!

The following appears in the diagram below are:

XZ and XY and ∠ZXY.

Options B, C, and D are the correct answer.

In mathematics and geometry, an angle is a measure of the amount of rotation or turn between two lines or line segments that meet at a common endpoint, called the vertex of the angle.

Angles are typically measured in degrees (°) or radians (rad).

A full rotation around a point is 360 degrees or 2π radians.

We have,

An angle is a measure of the amount of rotation or turn between two lines or line segments that meet at a common endpoint, called the vertex of the angle.

Arc length is the distance along the curve of a circle or any other curved shape. It is defined as the length of the portion of the circumference of a circle or a portion of a curve between two endpoints, measured along the arc of the curve.

From the diagram,

XZ and XY are arc lengths.

∠ZXY is an angle.

Thus,

The following appears in the diagram below are:

XZ and XY and ∠ZXY.

Learn more about angles here:

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Answer: I cant tell which one is a or b or c or d but ill say its b

Answer:

42

Step-by-step explanation:

6÷(1/7) equals forty two.

Solution,

6/1/7

=6*7/1

=42

Hope it helps

Good luck on your assignment

Answer:

(2a + 1)

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

(2 - a^2)

Step-by-step explanation:

(2 + 1/a)

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

(2/a - a)

Multiply by a/a

(2 + 1/a)  *a

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

(2/a - a) *a

(2a + 1)

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

(2 - a^2)