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2 years ago

What is the coefficient of y in the expression 2 ⋅ 3 + 9y? 2 3 6 9

Mathematics

2 answers:

pshichka [43]2 years ago

6 0

The answer is going to be 9. Hope that helped.

scZoUnD [109]2 years ago

6 0

The answer is 9, since a coefficient is the number that comes before the variable. So, in this case, the number that comes before y is 9. Also, look close at the sign that comes with the coefficient. If it is a - then it is negative.if it is + then it is positive. So, in this case, it is a +, so the answer would be positive 9.

Hope this helps!

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A spherical cantaloupe is cut in half. The visible cross-section has an area of 5252 in2. The volume of the cantaloupe is _____

artcher [175]

Answer:

V = 286319.465 cm3

Step-by-step explanation:

First, you have to find the radius to be able to find the volume of a sphere.

The equation for the area of a circle is pi r^2 so you have to so some algebra.

5252 = pi r ^2

5252/pi = r^2

1671.76352 = r^2

sqrt(1671.76352) = r

r = 40.8872048

then you do the equation for the volume of a circle which is 4/3 pi r^3

4/3 pi (40.8872048)^3

4/3 pi 68353.7373

4/3 214739.599

286319.465

V = 286319.465 cm3

6 0

2 years ago

Evaluate 5(x - 1) - 2 when x = 3. O A. -4 Ос. O D.O

12345 [234]

Answer:

Step-by-step explanation

First you have to plug in 3 for x:

5(3-1)-2

Then using PEMDAS you would simplify that:

5(2)-2

10-2

4 0

3 years ago

Given the equation square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution. x = one fourth, solut

Rainbow [258]

Answer:

x=3, solution is not extraneous

Step-by-step explanation:

we have

$\sqrt{8x+1}=5$

Solve for x

squared both sides

$(\sqrt{8x+1})^2=5^2$

$8x+1=25\\8x=25-1\\8x=24\\x=3$

Verify

For x=3

$\sqrt{8(3)+1}=5$

$\sqrt{24+1}=5$

$\sqrt{25}=5$

$5=5$ -----> is true

therefore

x=3, solution is not extraneous

5 0

2 years ago

Factor the quadratic equation of y= 4x^2 + 16x -48

vodka [1.7K]

Answer:

y = 4(x+6)(x-2)

Step-by-step explanation:

y = 4x² + 16x - 48, factor out the 4

y = 4(x² + 4x - 12), find factors of 12

Factors of 12:

1*12, 2*6, 3*4; find a pair that sums to 4x or 4

6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4

y = 4(x+6)(x-2)

8 0

1 year ago

Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras

Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

$\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}$

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

$\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2$

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

$(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}$

Podemos entonces despejar x de la siguiente manera:

$h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07$

6 0

3 years ago