calcula el valor de A - B, si se sabe que: A=

Answer:

[tex]\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}[/tex]

Step-by-step explanation:

We need to write the slope intercept form of the equation which passes through (4,-1) and parallel to the line y = -3/4x .

We know that the line parallel to a given line has the same slope . Therefore the slope of the line will be , ( on comparing to Slope Intercept Form ) .

[tex]\sf\longrightarrow Slope =\dfrac{-3}{4}[/tex]

On using point slope form ,

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

Substitute the respective values ,

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

Simplify ,

[tex]\sf\longrightarrow y +1 = \dfrac{-3}{4}x + 3 [/tex]

Multiply both sides by 4 ,

[tex]\sf\longrightarrow 4y + 4 = -3x + 12 [/tex]

Put all terms on same side , i.e. on LHS ,

[tex]\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}[/tex]

Hence the equation of the line is 3x + 4y - 8 = 0.

Answer:

The correct answer is (-6, 10).

Step-by-step explanation:

You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.

Feel free to message me if you still have questions :)

Answer:

(–6, 10)

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then

2x + 50 + 5x - 80 = 180

7x - 30 = 180 ( add 30 to both sides )

7x = 210 ( divide both sides by 7 )

x = 30

Answer:

32.8 mi²

Step-by-step explanation:

Hi there!

Area of a triangle when given two sides, a and b, and the angle that conjoins them, C:

[tex]A=\frac{1}{2} ab*sinC[/tex]

Plug in the known information:

a=11, b=6, C=97°

[tex]A=\frac{1}{2} (11)(6)*sin(97)\\A=33sin(97)\\A=32.8[/tex]

Therefore, the area of the triangle is approximately 32.8 mi².

I hope this helps!

Answer:

B

Step-by-step explanation:

The trick here is to find the height. The answer is

height = sin(180 - 97) * 11

The height is found by finding the supplement of 97, taking the sin of that angle and multiplying by 11.

There is a drawing required. You need to extend ZY until a line from x meets ZY (extended) at right angles. When that happens you find the sine of the supplement.

height = sin(83)*11

height = 10.92

Now use the standard area formula.

Area = base (ZY) * height / 2

base = 6

height = 10.92

Area = 6 * 10.92 /2

Area = 32.75

Answer: -46

Step-by-step explanation:

[tex]A=[-3(5)-2]+[-3(9)-2]=(-15-2)+(-27-2)=-17-29=-46[/tex]

Answer:

(x-8)²+20  vertex=(8,20)

Step-by-step explanation:

(x-8)² = -20

Graphing Form: y = 1(x-8)²+20    

Answer:

D. Negative slope

Step-by-step explanation:

The slope goes down from left to right, so it is a negative slope

Up from left to right is a positive slope

A vertical line is undefined

A horizontal line is zero slope

9514 1404 393

Answer:

  (b) 82.9253

Step-by-step explanation:

The first attachment shows the rectangles. The second shows the sum of their areas.

First find the gradient of L.

-6÷3=-2

gradients of perpendicular lines multiply together to give -1.

(-2)×1/2=-1

m=1/2 or 0.5

y=0.5x-1.5

Answer:

The angle between two nonzero vectors u and v is given by

Cos Θ=u*v/║u║║v║

1) If u*v=0, then CosΘ=0

arccos 0=90°

2) If u*v > 0, then CosΘ >0

If (cos Θ > 0, then Θ is less than 90°

3) If u*v < 0, then Cos Θ < 0

If Cos Θ < 0, then Θ is greater than 90°

OAmalOHopeO

Answer:

rhombus has all angles=90 degress

PT is 8 because since P is the incenter it's equidistant from all sides.

Answer:

[tex]3\frac{5}{7}[/tex]

Step-by-step explanation:

13 ÷ 3.5

[tex]3.5=3\frac{5}{10}[/tex]

Answer:

There are 400 possible dinners.

Step-by-step explanation:

There are 8 dishes to choose from column A. For each of these 8 dishes, there are 10 dishes to pair with. For each of these 10 dishes, there are 5 dishes to go with from column C.

Therefore, multiply to get [tex]8\cdot 10\cdot 5=\boxed{400}[/tex] possible dinners.

*Note: Since the order of which you choose is fixed, we do not need to account for rearrangements of the same three dishes.

Answer:

6(x + 2)^2 + 8x + 2 + 1 = 0

Step-by-step explanation:

A quadratic equation has the variable with the highest power of 2

6(x + 2)^2 + 8x + 2 + 1 = 0  when foiled out it has the highest power of 2

6x4 + 7x2 – 3 = 0  power of 4

5x6 + x4 + 12 = 0 power of 6

x9 + x3 – 10 = 0  power of 9

Answer:

C (the third option)

Step-by-step explanation:

the reason that C is in quadratic form is because the first exponent is a multiple of the following exponent (s)

That is the easiest way I've learned to determine if an equation is quadratic or not. Keep in mind the equation will not always be in simples form so make sure you simplify it all the way.

Hope this Helps <3

Given:

The preimage and image of a triangle in the given figure.

To find:

The dilation scale factor.

Solution:

From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).

The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).

If a figure is dilated by factor K with (0,0) as the center of dilation, then

[tex](x,y)\to (kx,ky)[/tex]

Let the scale factor be K, then the image of point A is:

[tex]A(-2,-2)\to A'(k(-2),k(-2))[/tex]

[tex]A(-2,-2)\to A'(-2k,-2k)[/tex]

From the given figure it is clear that the image of point A is A'(-4,-4).

[tex]A'(-2k,-2k)=A'(-4,-4)[/tex]

On comparing both sides, we get

[tex]-2k=-4[/tex]

[tex]k=\dfrac{-4}{-2}[/tex]

[tex]k=2[/tex]

Therefore, the dilation scale factor is 2.

The integers ranging from 5n to 5n + 10, with 5n as a positive odd integer, in each case, the range contains three even integers.

When n = 1:

The range is 5(1) to 5(1) + 10

= 5 to 15.

There are three even integers in this range: 6, 8, and 10.

When n = 3:

The range is 5(3) to 5(3) + 10

= 15 to 25.

There are three even integers in this range: 16, 18, and 20.

When n = 5:

The range is 5(5) to 5(5) + 10

= 25 to 35.

There are three even integers in this range: 26, 28, and 30.

In each case, the range contains three even integers.

Learn more on positive integers here https://brainly.com/question/1367050

#SPJ2

Answer:

[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis

Step-by-step explanation:

Given

[tex]f(x) = x^4-5x^2+3[/tex]

Required

Determine if it is symmetric

First, we check if the function is even by calculating f(-x)

[tex]f(x) = x^4-5x^2+3[/tex]

[tex]f(-x) = (-x)^4-5*(-x)^2+3[/tex]

[tex]f(-x) = x^4-5*x^2+3[/tex]

We have:

[tex]f(x) = f(-x) = x^4-5*x^2+3[/tex]

This implies that the function is even, and even functions are symmetric to the y-axis.

Hence:

[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis

Answer & Step-by-step explanation:

500 is roughly about 83% of 600 (we know this because 500/600 = 0.833)

If she is following the recipe, then if she is using 83% of the water shown in the recipe, then she will be putting in about 83% of every ingredient.

480 * 0.83 = 398g flour

12 * 0.83 = 9.96g salt

6 * 0.83 = 4.98g yeast

30 * 0.83 = 24.9ml oil

and 500ml water

Given:

Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.

Total traveling time was 14 hours.

To find:

The distance between Melinda's house and mall.

Solution:

Formula used:

[tex]Time=\dfrac{Distance}{Speed}[/tex]

Let x miles be the distance between Melinda's house and mall.

Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.

Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.

Total traveling time was 14 hours.

[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]

[tex]\dfrac{6x+x}{24}=14[/tex]

[tex]7x=14\times 24[/tex]

Divide both sides by 7.

[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]

[tex]x=2\times 24[/tex]

[tex]x=48[/tex]

Therefore, the mall is 48 miles far from Melinda's house.

Answer:

32.61° is the answer

Step-by-step explanation:

Tanx=17.6/27.5

Answer:

y = 3

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

54 + x = 180

x = 180 - 54

x = 126

Answer:

Your correct answer is 1514.27

Step-by-step explanation:

Here is my step by step for you!

Answer:

distance=90km

time=1.5h

speed of the bus=distance /time

speed of the bus=90km/1.5h

speed of the bus=60km/h

therefore if 1.5h=60km/h

then 7.2h=(7.2x60)/1.5 =288km

Answer:

Using a calculator;

A is approximately 51.34°

G is approximately 28.36°

Step-by-step explanation:

Part 1

The given trigonometric ratio is presented as follows;

tan A = 5/4

Therefore, the angle, A = arctan(5/4)

Using a calculator,  the value of A is found as follows;

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Entering 5/4 into the calculator, using the keypad

3 . Selecting the arctan button to give, A ≈ 51.34°

Part 2

The given trigonometric ratio is cos G = 0.88

Therefore, G = arccos(0.88)

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Enter 0.88 into the calculator by typing

3. Select arccos from the function menu, to give

arcos(0.88) = G ≈ 28.36°.

Answer:

QD = 13

Step-by-step explanation:

According to the Centroid theorem of a triangle, the Centroid is ⅔ of the distance from every vertex angle to the midpoint of the side opposite to each of them.

By this we can deduce that:

QD = ⅔(QD + DK)

Substitute

QD = ⅔(QD + 6.5)

Multiply both sides by 3

3*QD = 2(QD + 6.5)

3QD = 2QD + 13

Subtract both sides by 2QD

3QD - 2QD = 13

QD = 13

Step-by-step explanation:

1/1 , 3

3/1 , 3

1 , 1

HCF is 1

LCM is 3 × 1 =3

2/2 , 9

3/1 , 9

3/1 , 3

1 , 1

HCF is 1

LCM is 3 × 3 × 2= 18