Which of the x-values satisfy the following inequality? 7x<21

Given:

Segment MN has endpoints at M(-6, -3) and N(9,7).

Point Q lies on MN such that MQ:QN = 3:2.

To find:

The coordinates of point Q.

Solution:

Section formula: If a point divides of line segment whose end points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that points are:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Segment MN has endpoints at M(-6, -3) and N(9,7) and Point Q lies on MN such that MQ:QN = 3:2. By using section formula, we get

[tex]Q=\left(\dfrac{3(9)+2(-6)}{3+2},\dfrac{3(7)+2(-3)}{3+2}\right)[/tex]

[tex]Q=\left(\dfrac{27-12}{5},\dfrac{21-6}{5}\right)[/tex]

[tex]Q=\left(\dfrac{15}{5},\dfrac{15}{5}\right)[/tex]

[tex]Q=\left(3,3\right)[/tex]

Therefore, the coordinates of point Q are (3,3).

Answer:

3. 50.27 inches squared

4. 113.1 km squared

Step-by-step explanation:

3. A=πr^2

π*16

4. A=πr^2

π*36

Have a good day :)

Answer:

1)50.3

2) 113

Step-by-step explanation:

I hope this helps!

Answer:

=70x^2-138x-72

Step-by-step explanation:

attached is the work in foil method

Answer:

34.1

Step-by-step explanation:

8 4/5 is not needed. The other two will given you the answer.

Area = 1/2 * b * h

b = 12 2/5 = 12.4

h = 5 1/2 = 5.5

Area = 1/2 * 12.4 * 5.5

Area = 34.1 square feet.

Answer:

65

Step-by-step explanation:

Answer:

144.44 yards

Step-by-step explanation:

The formula to find circumference is: C = π · d

Since we already have most of the factors figured out, we just replace them with what we have.

C = 3.14 · 46 yrds

144.44 = 3.14 · 46

Answer:

Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

En este caso tenemos el punto (4, -3), es decir:

x = 4

y = -3

Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:

Tan(θ) = -3/4

Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5

Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5

Ctg(θ) = 4/(-3) = -4/3

Sec(θ) =  √(4^2 + (-3)^2)/4 = 5/4

Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

[tex]\sqrt{4} \\[/tex]=2

[tex]\sqrt{100}[/tex]=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

Answer:

36.25x + 11.50 ≤ 200

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

Answer:

F 20%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hi there!

We're given the measure of <AOC (the big angle) as 90°

and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°

we want to find the value of what x is

because of angle addition postulate, m<AOC=m<BOC+m<AOB

so we can substitute our known values into that equation

90°=14°+3x°+46°

our goal is to isolate the variable of x onto one side

add 14 and 46 together

90°=3x°+60°

subtract 60° from both sides

30°=3x°

divide both sides by 3

10°=x

therefore B is your answer

Hope this helps!

Answer:

Option D

Sine and cosine are same for complementary angles.

Answer:

[tex]Area \ of \ sector = \pi r^2 \frac{\theta}{360} = \pi \times 5 \times 5 \times \ \frac{75}{360} = 16.35 = 16.4yd^2[/tex]

option 2

Answer:

The answer will be

5.23 × 10

-5

Answer:

5.23 x 10^-5

Step-by-step explanation:

Could you mark me brainliest please?

Answer:

Answer choice #2

Answer:

Positive

Step-by-step explanation:

They have the plus sign also they dont have the negative sign anywhere to be seen.

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Answer:

1)a

2)c

thats all i know

Step-by-step explanation:

Answer:

the value that belongs there is 26

Step-by-step explanation:

sin56

Since tan56 = -----------

cos56

sin56 = 26/z

cos 56 = x/z

tan56 = 26/x

Answer:

i think its 23. ............

Step-by-step explanation:

C. y= -5x + 27

D. y=2x - 15

thats all

Answer:

I believe the answer is C) and D)

Answer:

-216

I dont know if that's right

Answer:

A ray is a a part of a line but a line segment is a line that connects two points

Step-by-step explanation:

A ray has one point at one end and an arrow that goes on forever, Though segments have 2 end points and do not go on forever.

"The angles formed by the lines that meet at each base are 90 degree angles and the distance between each base is the same."

was this your explanation? if so I think that it defines exactly the image shown on the quiz.

Answer:

$17.50

Step-by-step explanation:

(70/2)/2

Answer:

320 cm squared

Step-by-step explanation:

A=2(wl+hl+hw)

2 × (12 × 4 +7 × 4+ 7 × 12)

Have a good day :)

Answer:

[tex](x - \frac{\sqrt{209} - 1}{8} )(x - \frac{-1 - \sqrt{209} }{8} )[/tex]

Step-by-step explanation:

FACTS TO KNOW BEFORE SOLVING :-

Quadratic Formula :-

Lets say , there's an equation ax² + bx + c.

[tex]=> x = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \: or \: \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

SOLUTION :-

According to the question ,

By using quadratic formula ,

[tex]x = \frac{-1 + \sqrt{1^2 - 4 \times 4 \times (-13)} }{2 \times 4} \: or \: \frac{-1 - \sqrt{1^2 - 4 \times 4 \times (-13)} }{2 \times 4}[/tex]

[tex]=> x = \frac{-1 + \sqrt{209} }{8} \: or \: \frac{-1 - \sqrt{209} }{8}[/tex]

[tex]=> (x - \frac{\sqrt{209} - 1}{8} ) \: and \: (x - \frac{-1 - \sqrt{209} }{8} )[/tex] are the factors of 4x² + x - 13.

Answer:

No, those sides do not make a right triangle.

i know that no links are allowed but this helped me solve those types

https://www.omnicalculator.com/math/right-triangle-side-angle

Answer:

Yes.

Step-by-step explanation:

This is a right triangle, so the Pythagorean Theorem applies.

Step 1: Define.

The Pythagorean Theorem states that the legs of the triangle, squared, must be equal to the hypotenuse, squared.

The legs of a right triangle are the sides that make the right angle.

The hypotenuse is the longest side.

[tex]formula-a^2+b^2=c^2[/tex]

[tex]legs- a,b[/tex]

[tex]hypotenuse-c[/tex]

Step 2: Solve.

6 in. and 8 in. are the legs of the triangle.

10 in. is the hypotenuse.

Now, we simply plug the numbers into the formula.

[tex]6^2+8^2=10^2[/tex]

[tex]36 + 64 = 100[/tex]

If the legs of the triangle, squared, is equal to the hypotenuse, squared, then the side lengths can make a right triangle.

[tex]36 + 64 = 100.[/tex]

I, therefore, believe that the side lengths can make a right triangle.

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning