help please! could someone also show how they got the answer?

Answer:

The distance is approximately 3.6

Step-by-step explanation:

The distance from a point (xo, yo) to a line ax+by+c=0 is the shortest distance from the given point to any point on the line.

It can be calculated with the formula:

[tex]\displaystyle d={\frac {\mid ax_{0}+by_{0}+c\mid}{\sqrt {a^{2}+b^{2}}}}[/tex]

The coordinates of point A are (1,-2). The equation of the line must be found by knowing two clear points it passes through.

These points are (0,3) and (6,-1). First, we calculate the slope:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m=\frac{-1-3}{6-0}=\frac{-4}{6}=-\frac{2}{3}[/tex]

The equation of the line in slope-point form is:

[tex]y=m(x-x_o)+y_o[/tex]

Taking the point (0,3) and the slope above:

[tex]\displaystyle y=-\frac{2}{3}(x-0)+3[/tex]

Multiply by 3:

[tex]3y=-2x+9[/tex]

Moving all terms to the left side:

[tex]2x+3y-9=0[/tex]

We now have all the required values to calculate the distance:

a=2, b=3, c=-9, xo=1, yo=-2

[tex]\displaystyle d={\frac {\mid 2\cdot 1+3\cdot (-2)+(-9)\mid}{\sqrt {2^{2}+3^{2}}}}[/tex]

[tex]\displaystyle d={\frac {\mid 2-6-9\mid}{\sqrt {13}}}\approx 3.61[/tex]

The distance is approximately 3.6

Answer:

4

Step-by-step explanation:

Raising 50 cents by 25 cents is adding on 25 cents. 0.50 + 0.25 = 0.75

And it was 0.75 per cup so 0.75c

Answer:

0

Step-by-step explanation:

Answer:

0

I hope this helps!

F(x - 7)=2x - 10

Step-by-step explanation:

F(x)=2x+4 translation 7 units left is given as:

[tex]F(x - 7)=2(x - 7)+4 \\ \\ F(x - 7)=2x - 14+4 \\ \\ \purple{ \boxed{F(x - 7)=2x - 10 }} \\ \\ [/tex]

Answer:

c

Step-by-step explanation:

Answer:

a=12      b=25 degrees

Step-by-step explanation:

the tangent of the 25 degree angle gets you your answer

Trigonometry ('triangle', or 'measure') is the branch of mathematics that studies relationships between side lengths or the angles of the triangles

by the question, we have the following parameters:

Vertical Leg = x

Base length = 12

Angle at the vertical side = 25 degrees

The measure of the x is then calculated using the following tangent ratio

tan(x) = Base length / Vertical leg

Substitute known values

tan(x) = 12/x

So, the trigonometric expression that it is be used for find the value of x is tan(x) = 12/x

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Answer:

$148 pretty sure

Step-by-step explanation:

Answer:

$148

Step-by-step explanation:

Divide 18.50 by 10 to get the cost for 1 guest

18.50 / 10 = 1.85

Multiply 1.85 by 80

Answer:

30 calories

Step-by-step explanation:

[tex]\frac{10g}{1} *\frac{600cal}{200g} = 30 cal[/tex]

Answer:

30cal/10grams

Step-by-step explanation:

200/10 = 20

600/20 = 30

Answer:

Square of 55 is 3025

Square of 7.7 is 5.29

Step-by-step explanation:

Slope of the line connecting the points (1,-1) & (3,5) is 6/2 = 3

so the equation using point form y-y1 = m(x-x1)

y+1 = 3(x-1) = 3x-3

y=3x-4

[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and  [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]

In this question we must prove that a given parallelogram is a rhombus. A rhombus is quadrilateral with four sides of equal length and two pairs of angles of equal measure, different to each other. We must demonstrate that [tex]\overline {QR} \cong \overline {RS}[/tex] and [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex] by geometric and algebraic definitions and theorems:

[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and  [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]

To learn more on rhombuses, we kindly invite to check this verified question: https://brainly.com/question/4165249

Replace y = -4x into y = 3x + 28

-4x = 3x + 28

Minus both side by 3x

-7x = 28

x = -4

Recheck : - 4 x (-4) = 3 x (-4) + 28
16 = -12 +28 = 16 (t)

Answer:

(- 4, 16 )

Step-by-step explanation:

y = 3x + 28 → (1)

y = - 4x → (2)

substitute y = 3x + 28 into (2)

3x + 28 = - 4x ( add 4x to both sides )

7x + 28 = 0 ( subtract 28 from both sides )

7x = - 28 ( divide both sides by 7 )

x = - 4

substitute x = - 4 into (2)

y = - 4(- 4) = 16

solution is (- 4, 16 )

Answer:

2/3 or -5 is correct for all future users.

Step-by-step explanation:

The roots of the quadratic equations or the values of x are -5 and 2/3.

A quadratic equation is an algebraic equation of degree two. An algebraic equation of degree n has exactly n number of roots.

Given a quadratic equation 3x² + 13x = 10 which can be written as,

3x² + 13x - 10 = 0.

Now two numbers that add to 13 and multiplied to -30 are 15 and - 2.

3x² + 15x - 2x - 10 = 0.

3x(x + 5) - 2(x + 5) = 0.

(x+5)(3x-2) = 0.

x + 5 = 0 OR 3x -2 = 0.

x = -5 OR x = 2/3.

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Answer:

Step-by-step explanation:

Letter Grade Percentage Points Level

A+ 95-100                         4.00  Exceptional

A 90 to less than 95          3.75          Excellent

B+ 85 to less than 90          3.50    Superior

B 80 to less than 85          3.00     Very Good

C+ 75 to less than 80          2.50     Above Average

C 70 to less than 75          2.00      Good

D+​​ 65 to less than 70           1.50       High-Pass

D​ 60 to less than 65           1.00        Pass

F Less than 60                   0.00         Fail

Answer:

3.1

Step-by-step explanation:

When you round to the nearest tenth 4.35 is 4.4 and 1.27 is 1.3

Answer: 3.1

Step-by-step explanation: Round 4.35 and you get 4.4 round 1.27 you get 1.3 subtract them and you get 3.1

The sample in the table is used to show the preference of each student

156 students preferred country music

From the question, we have:

Country = 6

Total students = 650

Total proportion = 25 i.e. 12 + 7 + 6

So, the number of students that preferred country music is:

Country = 6/25 * 650

Evaluate the product

Country = 156

Hence, 156 students preferred country music

Read more about proportions at:

https://brainly.com/question/24461724

Answer: The calculation is correct.

Step-by-step explanation:

If Hernando ate 2/8 of a pizza for a dinner, the remaining pizza will be:

= 1 - 2/8

= 6/8

If he gave his 6 friends the rest of the pizza and told them to share it equally, each person will get:

= 6/8 ÷ 6

= 6/8 × 1/6

= 1/8

Each person will get 1/8 each

Since he also concluded that each person received 1/8 of the whole pizza, Hernandos calculations are correct

Answer:

So B

Step-by-step explanation:

Answer:

4x^2−4x−1

if u need an explanation tell me

Answer:

4x² - 4x - 1

Step-by-step explanation:

Given

4(x² - 2x) + (x - 1)(x² + x + 1) - x(x² - 4) ← distribute all parenthesis

= 4x² - 8x +x ³ + x² + x - x² - x - 1 - x³ + 4x ← collect like terms

= 4x² - 4x - 1

Answer:

two solutions

Step-by-step explanation:

Any quadratic equation will always have two solutions.

Hope this helps!

Las coordenadas de la escuela (rojo) son (4,3), las coordenadas de mi casa (rosado) son (6,5) las coordenadas del supermercado (verde) son (11,4) y las coordenadas del restaurante (amarillo) son (9,8).

Se refiere a una expresión, valor o magnitud sobre el plano cartesiano que muestra la ubicación de un punto o referencia.

Siempre se deben tener los valores de ambos ejes: el eje y (vertical)  y el eje x (horizontal). Para esto primero escriba el valor del eje x luego añada una coma y escriba el valor de y.

De acuerdo a lo anterior, los lugares ubicados en el mapa tiene las siguientes coordenadas:

(4,3)

(6,5)

(11,4)

(9,8)

Aprenda más sobre coordenadas en: https://brainly.com/question/24702640

Answer:

X+m=y

M=1/1

You add 3, then 4, 5, 6

your slope (m) will be 1/1=1

1+3=4

2+4=6

3+5=8

4+6=10

5+7=12    

Hope this helps! Brainliest is appreciated :)

~Mitsuna

Answer: 7

To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.

So by the triangle inequality theorem, 6+x>12 meaning the minimum whole number value of x is 7.

hello

30/42 = x /49

42 x = 1 470

x =  35

30 /42 =  40/ 40 + y

30 y + 1200 = 1 680

30 y = 1 680 - 1 200

30 y = 480

y =  16

Answer:

x = 35

y = 16

Step-by-step explanation:

Both the triangles are similar by AA test of similarity.

[tex] \implies \: \frac{30}{30 + 12} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{30}{42} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{x}{49} \\ \\ \implies \: x = \frac{5 \times 49}{7} \\ \\ \implies \huge \red {\boxed{ \: x = 35}}\\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} \\ \\ 5(40 + y) = 280 \\ \\ \implies \: 200 + 5y = 280 \\ \\ \implies \: 5y = 280 - 200 \\ \\ \implies \: 5y = 80 \\ \\ \implies \: y = \frac{80}{5} \\ \\ \implies \: \huge { \orange{ \boxed{ y = 16}}}[/tex]

Answer:

127.3 feet.

Step-by-step explanation:

The line from first base to third base is the hypotenuse of a right triangle, with the right angle at home base.

Since this is a right triangle, we will use the Pythagorean Theorem to find the hypotenuse.

So, let a = one side and let b = the other side of the right triangle. And, let c = the hypotenuse.

The Pythagorean Theorem is:

c^2 = a^2 + b^2.

So, c= sqrt(a^2 + b^2)

And we have: c= sqrt(90^2 + 90^2)

= sqrt(8100 + 8100) = sqrt(16,200)

= 127.3 ft.

Conclusion: The distance from first base to third base is 127.3 ft, (approximately).

Answer:

[tex]g(x)= (x-10)^2[/tex]

Step-by-step explanation:

g(x) = [tex](x-10)^{2}[/tex] is the translation 10 units right of f(x) = [tex]x^{2}[/tex].

Translation means the displacement of a figure or a shape from one place to another.

g(x) = [tex](x-10)^{2}[/tex] where a = 1, h = 10 and k = 0.

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Answer:

Every point is moved so that it is three times from the y-axis... i think

Step-by-step explanation:

i used elimination method (btwn rotation and reflection also enlargement) using eyes hence not sure about answer

Answer:

3,430 Cal.

Step-by-step explanation:

You would multiply the number of days in a week: 7 by 2 (14) and then multiply that bye 245 = 3,430

Answer:

3,430

Step-by-step explanation:

First we have 2 weeks, there are 7 days in a week.

2 x 7 = 14

He burns off 245 a day. We multiply 245 by 14 to get:

3,430