On a coordinate plane, a line goes through (negative 3, negative 4) and (3, 0).
What are the necessary criteria for a line to be perpendicular to the given line and have the same y-intercept?

The slope is Negative three-halves and contains the point (0, 2).
The slope is Negative two-thirds and contains the point (0, −2).
The slope is Three-halves and contains the point (0, 2).
The slope is Negative three-halves and contains the point (0, −2

Answer:

hi.

Step-by-step explanation:

download photo math

The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.

The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.

Using the law of sines, we can write the following equation:

sin(77) = (50 / d) * sin(180 - 77)

where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.

Solving for d, we get:

d = 50 * sin(77) / sin(103)

≈ 21.66 inches

Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

To learn more about point here:

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Answer:

16 2/3 ounces per mile

Step-by-step explanation:

50 ounces of blueberries/3 miles = 16.666 repeated

16.666 repeated = 16 2/3 ounces/mile

Hi there!

[tex]\large\boxed{\text{ B. 2}}[/tex]

f(x) = 2x + 6

Differentiating 2x = 2 (Power rule, dy/dx xⁿ =  nxⁿ⁻¹)

Differentiating a constant always equals 0.

Thus:

f'(x) = 2

Answer:

The expressions that give the value of y are A - 3B and (1/3)A - B

The solution is (27/13, -60/13)

Step-by-step explanation:

We can see both equation A and equation B.

Equation A: 2x + (1/4)y = 3

Equation B: (2/3)x - y = 6

To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:

(13/4)y = -15

y = -60/13

you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)

Put y = -60/13 in equation A to get x:

2x + (1/4)(-60/13) = 3

2x = 3 + 15/13

2x = 54/13

x = 27/13

The solution is (27/13, -60/13)

Answer:

1.2055 × 10⁴

Step-by-step explanation:

10,000 + 2,000 + 50 + 5

= 12,055

Writing 12,055 in standard form

The first digit in standard form should be between 1 and 10

Therefore, the first digit in 12,055 is 1 then point other numbers

As in 1.2055

There are 4 digits after the decimal point.

So we have 10⁴

12,055 = 1.2055 × 10⁴

Check:

1.2055 × 10⁴

= 1.2055 × 10,000

= 12,055

(i) the number of students who passed in the first and in the second division

         76+95=171 students

(ii) The ratio of the number of students who passed in the first second and in the third division.

RATIO  is    4:5:(25/19)       or          4:5: 1.3157894…….

225-29=196 (29students failed)

196-25=171. (Subtract 25 students from the 3rd division)

4x+5x= 171 (171 students from 1st and second division)

9x=171

         X=19

4x19=76        5x19= 95         1.31578.....x19= 25

Answer: x = 60

Step-by-step explanation:

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary and their sum is 180°.

2x + 5 + x - 5 = 180

3x = 180

3x : 3 = 180 : 3

x = 60

Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

D

Step-by-step explanation:

First find h(3)

2(3)-2= 4

then find g(4)

4³-5= 59

Step-by-step explanation:

Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)

= 200+625-1156 ÷ (2000)

= 1069 ÷2000

Cos A = 0.5345

A= cos inverse 0.5345

A = 57.7

Answer:

57.7

Step-by-step explanation:

took the test

Answer:

I think album is another name of CD.

Answer:

4/5

SOH-CAH-TOA

sin = opposite / hypotenuse

Hypotenuse = sqrt(18^2 + 24^2)  = 30

sin 24/30 = 4/5

Step-by-step explanation:

Answer:

could you show the ine?

Step-by-step explanation:

7

Step-by-step explanation:

To solve this you need to use trigonometry:

1. Identify the sides. In this case, x is opposite and 10 is adjacent.

2. Identify which part of SOHCAHTOA you need to use. In this case, you need to use TOA.

3. Form your equation. In this case, x = tany x A

4. Substitute numbers into your equation. In this case, x = tan35° x 10

5. Calculate this equation using a scientific calculator. In this case the answer is 7.

Answer:

-5x + 2y=2

Step-by-step explanation:

[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]

Answer:

-24.4 ≥ w

Step-by-step explanation:

-13.4 ≥ 6.7 + 4.3 + w

-13.4 - 6.7 - 4.3 ≥ w

-24.4 ≥ w

Answer:

the picture I've given is an answer

Answer:

the first graph

Answer:

1st option

Step-by-step explanation:

If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.

Answered by GAUTHMATH

Answer:

Neither (Answer)

Step-by-step explanation:

Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).

Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.

Slope of line 1 = m1 = 7

slope of line 2 = m2 = 1/7

neither the slopes are equal nor the their product is equal to '-1'

Answer:

400 miles

Step-by-step explanation:

825 - 425 = 400

Answer:

Step-by-step explanation:

825 - 425= 400 which is what she is going to drive on the second day

Answer:

D (4, 2)

Step-by-step explanation:

adding equation 1 and 2,

5x = 20

x = 4

Hence y = 2

Hence its D

Answer:

b (5,3)

Step-by-step explanation:

Answer:

just do 64 * 118 = 7552

count the decimal points in BOTH the items 1 for the 6.4

and 2 in the 1.18 1+2 = 3

so starting from the right move in "3" positions and

put a decimal point

7.552

Step-by-step explanation:

Answer:

mean=14

median =4

Range=3

Step-by-step explanation:

Mean = 4+6+3+1+9+0+5/2

=28/2

=14

Median = ( N+1/2 )th item

= ( 7+1 )/2

= 8/2

= 4

Range = largest no- lowest no

= 9-6

= 3

Answer:

The probability of picking 1 red candle followed by another red candle is 16.66%.

Step-by-step explanation:

Since Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size, and there are 2 red candles, 1 green candle, and 1 blue candle, and he draws 1 candle and then draws another candle without replacing the first one, to find the probability of picking 1 red candle followed by another red candle, the following calculation must be performed:

2/4 x 1/3 = X

0.5 x 0.333 = X

0.16666 = X

Therefore, the probability of picking 1 red candle followed by another red candle is 16.66%.

Answer:

1/6

Step-by-step explanation:

2/4 x 1/3 = 1/6

Answer:

the first one

Step-by-step explanation:

Answer:

3 option is correct

Step-by-step explanation:

because all the domains and ranges calculation matches in eqn 3

Step-by-step explanation:

gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

its Sl unit is m/s².

Answer:

x^2 + 3x + 5

Step-by-step explanation:

sum of the two given side = 2x^3 + 3x^2 + 3x -2

missing side = 2x^3 + 4x^2 + 6x + 3 - 2x^3 - 3x^2 - 3x + 2 = x^2 + 3x + 5

Answer:

Supongo que la pregunta completa es:

"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"

Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).

Por lo que el área de esta recta no está definida.

Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.

Sabemos que una recta se escribe como:

y = a*x + b

donde a es la pendiente y b es la ordenada al origen.

Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:

a = (-3 - 0)/(2 - (-4) )

a = -3/6 = -1/2

Entonces nuestra línea es algo como:

y = (-1/2)*x + b

para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)

esto significa que cuando x = 2, tenemos que tener y = -3

reemplazando esos dos valores obtenemos

-3 = (-1/2)*2 + b

-3 = -1 + b

-3 + 1 = b

-2 = b

La ecuación que define a esta recta es:

y = -(1/2)*x  - 2

Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.