Mathematics High School

## Answers

**Answer 1**

**Answer: y = 32/7**

**Step-by-step explanation:**

Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.

Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →

-7y = -32 → y = 32/7. Hope this helps!

## Related Questions

what is math for

like what do we use it for whats the point of math no one uses it

### Answers

Because,mathematics provides an effective way of building mental discipline and encourages logical reasoning and mental rigor. In addition, mathematical knowledge plays a crucial role in understanding the contents of other school subjects such as science, social studies, and even music and art.

**Answer:**

The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.

**Step-by-step explanation:**

In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?

### Answers

Cosine is adjacent/hypotenuse

The adjacent side is 13.4 feet

The hypotenuse is 17.4 feet

13.4/17.4

Complete the equation so that it has infinitely many solutions.

12x−x+8+3x=

### Answers

**Answer:**

= 14x +8

**Step-by-step explanation:**

For the **equation in one variable** to have **infinitely many solutions**, it must be **true for all values of x**. That is, the left side and the right side must simplify to **identical expressions**.

The left side simplifies to ...

12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8

So, we can give the equation infinitely many solutions if the right side is 14x +8:

** 12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions**

Please help me with complement or supplement of an angles.

### Answers

**Answer:**

**60**

**Step-by-step explanation:**

If we look at the picture, we can see that its a right angle having a 90 degree.

We can make a equation with this as we know that m1 and m2 has to equal 90

x + y = 90

Since we know that m2 = 30 we can plug 30 for x

(30) + y = 90

Now we simply moving the 30 to the 90

y = 90 - 30

y = 60

PLEASE HELP! DUE TODAY!! TY!:)

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.

A) Write and solve an equation for x. Show your work.

B) Write and solve an equation to find the measure of angle D. Show your work and label your answer.

m∠D=

C) Write the measure of each of the other angles of the quadrilateral. Don’t forget to label your answers.

m∠A=

m∠B=

m∠C=

### Answers

**Answer:**

**Step-by-step explanation:**

help please i don’t know how to do it

### Answers

**Answer:**

x + 3y = 15

**Step-by-step explanation:**

Line is passing through the points [tex](3, \:4) = (x_1,\:y_1)\:and\: (9, 2)=(x_2,\:y_2)[/tex]

Slope of line (m)= (2 - 4)/(9 - 3) = -2/6 = -1/3

Equation of line in point-slope form is given as:

[tex]y-y_1 =m(x-x_1)[/tex]

Plugging the values of [tex]x_1,\: y_1\: and \: m[/tex] in the above equation we find:

[tex]y-4 =-\frac{1}{3}(x-3)[/tex]

[tex]\implies 3y-12 =-x+3[/tex]

[tex]\implies x+ 3y =12+3[/tex]

[tex]\implies \huge {\orange{\boxed{x+ 3y = 15}}}[/tex]

This is the required equation of line in the form [tex]\red{\bold{ax + by = c}} [/tex]

Find the sixth term of the geometric sequence when a4=−8 and r=0.5

A. 4

B. 2

C. -4

D. -2

### Answers

**Answer:**

D

**Step-by-step explanation:**

to find a term in the sequence multiply the previous term by r , then

a₄ = - 8 , so

a₅ = - 8 × 0.5 = - 4

a₆ = - 4 × 0.5 = - 2

The **sixth **term of the **sequence **will be negative 2. Then the **correct **option is **D**.

What is a geometric sequence?

Let a₁ be the **first **term and r be the **common **ratio.

Then the nth term of the **geometric **sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The **fourth **term (a₄) is negative 8 and the **common **ratio is 0.5.

Then the **sixth **term will be

For n = 5, we have

a₅ = a₁ · (r)⁵⁻¹

a₅ = a₁ · (r)⁴

a₅ = a₁ · r³ · r

a₅ = a₄ · r

a₅ = -8 · 0.5

a₅ = -4

Then the **sixth **term of the **sequence **will be

a₆ = a₁ · (r)⁶⁻¹

a₆ = a₁ · (r)⁵

a₆ = a₁ · r⁴ · r

a₆ = a₅ · r

a₆ = -4 · 0.5

a₆ = -2

The **sixth **term of the **sequence **will be **negative** 2.

Then the **correct **option is **D**.

More about the **geometric sequence **link is given below.

https://brainly.com/question/11266123

#SPJ2

thankyou for the help

### Answers

**Answer:**

**d because a straight line has the angle of 180**

The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =

### Answers

The **distance **between the** two points** pictured will be [tex]\sqrt{61}[/tex].

What is the distance between the two points?

The **length** of the line segment connecting two places is the **distance **between them.

The **distance** between two places is always **positive,** and equal-length segments are referred to as **congruent** segments.

The **given **coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The **distance **between the two points is found as;

[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]

Hence the **distance **between the** two points** pictured will be [tex]\sqrt{61}[/tex].

To learn more about the **distance between the two points **refer to;

https://brainly.com/question/16410393

**Answer:**

n=61

**Step-by-step explanation:**

PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER

### Answers

**Answer:**

sqrt(37) = arpox 6.1

**Step-by-step explanation:**

sqrt(1^2+6^2) = sqrt(37)

Please help!! <3

Thanks in advance!!

### Answers

This is the answer!!

Hope it helps you ♡

6 6/9 divided by 1 5/7

### Answers

Exact Form:

28/9

Decimal Form:

3.1

Mixed Number Form:

3 1/9

I neeed helpppppppppppppppppppp

### Answers

**Answer:**

1: 1; 3: 4; 5: 3

**Step-by-step explanation:**

when you have a negative exponent it basically is the regular exponent but the number is put over one

so 2^-2 is 1/2^2 which is 1/4

1/4 * 4 is 1

then for three

you have

(1/2)^-1

when the number is a fraction and you have a negative exponent you can put the number on the top

so this is 2

2 * 2 is 4

for the last one

anything times 0 is 1

this means that the answer is 3

**Answer:**

1. 1

3. 4

5. 3

**Step-by-step explanation:**

3.y= 2 (1/2)^x where x= -2

1/2=2^-1

(2^-1)^-1

-1×-1

=1

=2^1

2 (2)

=4

1. y=4 (2)^x

2^-2

1/2^2

=1/4

=4×1/4

=1

5.y=3 (1/3)^X

1/3=3^-1

(3^-1)^0

3^0

=1

3(1)

=3

Can someone please help me? I really need this grade and I’m very lost in all of these questions. Thank you.

### Answers

**Answer: See below**

**Step-by-step explanation:**

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

What is the value of In e^4

a 0

b 1

c 2

d 4

### Answers

**Answer:**

[tex]4[/tex]

**Step-by-step explanation:**

[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]

The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =

### Answers

The **value** of c for which the considered **trinomial** becomes perfect **square** **trinomial** is: 20 or -20

What are perfect squares trinomials?

They are those **expressions** which are found by **squaring** **binomial** expressions.

Since the given **trinomials** are with **degree** 2, thus, if they are **perfect** **square**, the **binomial** which was used to make them must be **linear**.

Let the **binomial** **term **was ax + b(a **linear** **expression** is always writable in this form where a and b are **constants** and m is a **variable**), then we will obtain:

[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]

Comparing this **expression** with the **expression** we're provided with:

[tex]x^2 + 10x + c[/tex]

we see that:

[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]

Thus, the **value** of c for which the considered **trinomial** becomes perfect **square** **trinomial** is: 20 or -20

Learn more about **perfect square trinomials **here:

https://brainly.com/question/88561

Draw the graph of y = 3x - 1 on the grid use the graph to estimate y when x = 2.5

### Answers

**Answer:**

6.5

**Step-by-step explanation:**

**all you have to do is substitute x with 2.5 in the equation and you can find y.**

What is the area and perimeter for this

### Answers

**Answer:**

**Step-by-step explanation:**

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

= 5 + 3 + 4

= **12 cm**

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

[tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

1 of 39 men is chosen at random. 27 men passed the test. 12 men failed. What is the probability that the man failed his test

### Answers

**Answer:**

30.7%, 0.3, or 4/13

**Step-by-step explanation:**

The correct procedure for this problem is:

The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.

If you know the diameter of a circle,

how do you find the following. Explain

the steps clearly

a. the area of that circle?

b. the circumference of the circle?

### Answers

**Step-by-step explanation:**

a. Area of a circle = πr², where r means radius.

**Step 1: converted diameter to radius.**

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

**Step 2: substitute radius into the formula.**

Area of a circle = π([tex]\frac{1}{2}[/tex]d)²

**Step 3: substitute π into the formula. **

some question is given the value of π), if not substitute 3.14 for π.

Area of a circle = 3.14([tex]\frac{1}{2}[/tex]d)²

**Step 4: substitute d into the formula, then we can solve its area.**

b. a. Circumference of a circle = 2πr, where r means radius.

**Step 1: converted diameter to radius.**

diameter = 2 radius

In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.

**Step 2: substitute radius into the formula.**

C = 2π([tex]\frac{1}{2}[/tex]d)

**Step 3: substitute π into the formula. **

some question is given the value of π), if not substitute 3.14 for π.

C = 2(3.14)([tex]\frac{1}{2}[/tex]d)

Step 4: substitute d into the formula, then we can solve its circumference.

Evaluate the expression 2bc for b = 1.5 and c = 5.

### Answers

**Answer:**

15

**Step-by-step explanation:**

To answer this, simply input your values into the equation:

Since b is given as 1.5, and c is given as 5, you put it into the calculation 2bc

so, you would do 2x1.5x5

which is equal to 15

**Answer: 15**

**Step-by-step explanation: Multiply it. You have 2bc, b=1.5, c=5 plug those values into 2bc. You should get 2(1.5)(5) and that'll be 15. **

1)The mass of Sarah's dog is 6 Kg more than two times the mass of her cat. The mass of her dog is 16 Kg.What is the mass of her cat?

### Answers

**Answer:**

10 kg

**Step-by-step explanation:**

Let x be the mass of her cat.

**1)**

2x + 6 = 16

2x = 16 - 6

2x = 10

x = 10/2

x = 5

**2)**

2(5)

= 10

**Answer:10kg**

**Step-by-step explanation:**

Is (2,10) a solution to this system of equations?

y = 4x + 2

y = x + 8

Yes or no

### Answers

**Answer:**

yes, it is

**Step-by-step explanation:**

10 = 4(2) + 2

10 = 8 +2

10 = 10

10 = 2 + 8

10 = 10

**Answer:**

The answer is **yes**

*View the attached graph to check your answer graphically.*

**Step-by-step explanation:**

y = 4x + 2

y = x + 8

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the second equation, for y, in the first equation:

y = 4x + 2

y = x + 8

x + 8 = 4x + 2

Next, subtract 4x from both sides to isolate x:

x + 8 = 4x + 2

-4x -4x

-3x + 8 = 2

Then, subtract 8 from both sides:

-3x + 8 = 2

- 8 - 8

-3x = -6

Now, divide both sides by -3:

-3x = -6

/-3 /-3

x = 2

Now, we find the value of y by substituting 2 for x:

y = 4x + 2

y = 4(2) + 2

y = 8 + 2

y = 10

(x, y) ==> (2, 10)

Therefore, yes (2,10) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

Matthew bought 12 roses for his mother. Exactly 1 of the roses were white. How many of the roses were white?

2

3

4

5

### Answers

hello!

What is [tex]\sf{\displaystyle\frac{1}{4}}[/tex] of 12?

In order to find it, we should divide 12 by 4:-

3

Now, solve our word problem:-

Matthew bought 12 roses. [tex]\sf{\displaystyle\frac{1}{4} }[/tex] of these roses were white.

And we already know how to solve this problem :)

Hence,

[tex]\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

When factored completely, z2 - 9 equals?

### Answers

Let's see

[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]

[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]

(a+b)(a-b)=a^2-b^2

[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]

**Answer:**

(z+3)(z-3)

**Step-by-step explanation:**

a^2 - b^2 = (a+b)(a-b) where a = z and b= 3

A cone has a volume 8pie cubic inches. And 6in height

What is the radius of the cone?

inches

### Answers

**Answer:**

r=1.3in

**Step-by-step**

**hope this helps:)**

Please answer this question throughly and with the work you used to answer it and I’ll give brainliest!

### Answers

With the given** budget**, the **inequality **that must be used is:

$5.5*s ≤ $350

Which inequality is the correct one?

We know that the **budget **is $500.

Then, we know that there is a fixed cost of $150, then the **budget left **is:

$500 - $150 = $350

With these $350 they pay the food for the students, which costs $5.50 per student.

So the **number of students** that can go must be such that:

s*$5.50 ≤ $350

There says that the cost in food for the s students must be smaller than or equal to the **remaining **$350.

So the correct option is the second one.

If you want to learn more about **inequalities**, you can read:

https://brainly.com/question/18881247

Ralph plotted the points (-4, 1) and (-4,-1) on a coordinate grid. What is the distance,

in units, between the points Ralph plotted?

a 1

B -2

C 2

D 0

### Answers

I think the answer is c I hope this helps

Please help I will give brainliest.

### Answers

**Answer:**

ο Neither is correct.

**Step-by-step explanation:**

1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;

2) according to the rule above the equation of the given graph is:

y=(x-5)²-7;

3) finally, 'neither is correct'

(PLEASE HELP ASAP!! 50 POINTS! question in the image)

### Answers

ANSWER: 8x^4 +64x^3 + 98x^2 +30x

Work in image.