Instructions: Fill in the last step of solving the quadratic equation by factoring. 3x2−2x−5=0 Step 1: Rewrite middle term. 3x2−5x+3x−5=0 Step 2: Group terms together and find GCF. (3x2−5x)+(3x−5)=0 x(3x−5)+1(3x−5)=0 (3x−5)(x+1)=0 Step 3: Apply the Zero Product Property. 3x−5=0 or x+1=0 Step 4: Solve. x= or x=

Answer:

13.2 cm

Step-by-step explanation:

using the Pythagorean theorem, we can find the length of the other leg, since this is a right triangle. The equation is a^2 + b^2 = c^2, A and B being the legs and C being the hypotenuse. Since we are finding the other leg, we can switch the equation around to find A/B instead. (A/B being the legs). so we get: B^2 = C^2 - A^2 ; then we simplify [tex]b=\sqrt{c^2-a^2}[/tex]

We plug in the numbers given:

[tex]b = \sqrt{16^2-9^2}\\b=\sqrt{256-81}\\b=\sqrt{175} \\b= 13.229[/tex]

rounded to nearest tenth: 13.2

The measure of the other leg in the right triangle is 13.22 cm.

A triangle with one angle measuring 90° is called a right triangle.

Given that, a right triangle has a leg measuring 9 cm and its hypotenuse is 16 cm longs, we need to find the other side,

So, using the Pythagoras theorem,

16² = 9² + x²

x = √256-81

x = √175

x = 13.22

Hence, the measure of the other leg in the right triangle is 13.22 cm.

Learn more about right triangle click;

https://brainly.com/question/6322314

#SPJ2

Answer:

= 8:00 A.M.

Step-by-step explanation:

▪You first find the total time taken which will be :

2 hrs 55 min + 25 min

= 3 hrs 20 min + 25 min

= 3 hrs 45min

▪ Beginning time = Arrival time - Time taken

= 11:45 - 3:45

= 8:00 am

¿

Answer:

523.6

Step-by-step explanation:

Not sure how to explain •-•

Hope it helps c:

Answer: use formula pi r^3

3.14 × 5 x 5 x 5 x 4 ÷ 3

Step-by-step explanation:

Answer:

Brooke = 1 hr 50 min

Lamont = 100 min = 1 hr 40 min

Because 60 min = 1 hr

Lamont was faster

Hope this helped

Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ

Step-by-step explanation:

Answer:

∡A  =115°

as for your question ... m is asking for the  "m" (measure) of angle A

Step-by-step explanation:

Answer:

∠ A = 118°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

3x + 13 + x - 8 + x = 180, that is

5x + 5 = 180 ( subtract 5 from both sides )

5x = 175 ( divide both sides by 5 )

x = 35

Then

∠ A = 3x + 13 = 3(35) + 13 = 105 + 13 = 118°

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7

Answer:

a. Produce more, as long as the resources are also available

Step-by-step explanation:

from brainly itself

scouteo

Ace

The correct answer is A) produce more, as long as the resources are also available.

As displayed on a production possibilities curve, an increase in technology will allow a society to produce more, as long as the resources are also available.

A production possibilities graph is a valid representation of the available ways an economy is able to use the resources. In this case, an increase in technology will allow a society to produce more, as long as the resources are also available means that as long there are enough resources in the market, technology in a country helps with the production of more things to be consumed or traded.  

Answer:

x(x+5)^2

Step-by-step explanation:

x^3 + 10x^2 + 25x

Factor out x

x(x^2+10x+25)

What 2 numbers multiply to 25 and add to 10

5*5 = 25

5+5 =10

x(x+5)(x+5)

x(x+5)^2

Answer:

D

Step-by-step explanation:

Given

x³ + 10x² + 25x ← factor out x from each term

= x(x² + 10x + 25) ← perfect square

= x(x + 5)²

Answer:

[tex]\frac{y^{2}}{25}-\frac{x^{2}}{3}=1[/tex]

Step-by-step explanation:

Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:

centro: (0,0)

focos: [tex](0,-\sqrt{28}),(0,\sqrt{28})[/tex]

eje conjugado = [tex]2\sqrt{3}[/tex]

por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

de los focos podemos obtener que:

[tex]c=\sqrt{28}[/tex]

y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:

[tex]b=\sqrt{3}[/tex]

podemos utilizar la siguiente fórmula para obtener a:

[tex]c^{2}-a^{2}=b^{2}[/tex]

si despejamos a en la ecuación obtenemos lo siguiente:

[tex]a=\sqrt{c^{2}-b^{2}}[/tex]

ahora podemos sustituir los valores:

[tex]a=\sqrt{(\sqrt{28})^{2}-(\sqrt{3})^{2}}[/tex]

[tex]a=\sqrt{28-3}[/tex]

[tex]a=\sqrt{25}[/tex]

a=5

así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:

[tex]\frac{y^{2}}{a^{2}}+\frac{x^{2}}{b^{2}}=1[/tex]

[tex]\frac{y^{2}}{(5)^{2}}+\frac{x^{2}}{(\sqrt{3})^{2}}=1[/tex]

[tex]\frac{y^{2}}{25}+\frac{x^{2}}{3}=1[/tex]

si graficamos la hipérbola, queda como en el documento adjunto.

Answer:

X = 32 meters.

Step-by-step explanation:

Given the following data;

To find how many meters he would cover in four hours;

1 hour = 8 meters

4 hours = X meters

Cross-multiplying, we have;

X = 8 * 4

X = 32 meters.

Answer:

X =30

Step-by-step explanation:

= 60+90

=150

angle sum property

x+150=180

x=180- 150

x= 30

Answer:

Step-by-step explanation:

90 + 60 = 150

(right angles = 90)

There is 180 degrees in a triangle, therefore,

180 - 150 = 30

Therefore, x = 30

p.s. Are you good at history?

p.p.s I dont like summer school either =)

Answer:

eju 48, 23w6yuw43wdgn

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Answer:

21 inches

Step-by-step explanation:

We can write a ratio to solve

7 inches        x inches

-------------  = -------------------

1 bracelet      3 bracelets

Using cross products

7*3 = 1x

21 = x

21 inches

Answer:

21 inches

Step-by-step

This can be solved two ways: addition or multiplication.

Addition: Since there are three bracelets you could add 7 three times

                 7+7+7

             = 14+7

             = 21

Multiplication: Simply multiply 7 x 3= 21

Answer:

x=2

Step-by-step explanation:

A line that intersects a circle in two points is called a secant line, and this is the case for both line DE and AE.

For two secant lines that intersect outside of the circle, such as the ones here, we can say that

CE * DE = BE * AE

Therefore, we need to then define these lines.

CE is x+4, BE is x+1, AE = (BE + AB) = 11+x+1 = 12+x, and DE = (CE + DC) = 1+x+4 = 5+x

We then have

(x+4) * (5+x) = (x+1) * (12+x)

expand

5x + x² + 20 + 4x = 12x+x²+12+x

x²+9x + 20 = x²+13x+12

Next, we want to congregate all values to one side so we can solve for x. This can be done by subtracting both sides by (x²+13x+12) to get

-4x + 8 = 0

subtract 8 from both sides to isolate the x and its coefficient

-4x = -8

divide both sides by -4 to isolate the x

x = 2

Answer: D

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

-1/2 * (6x + 10) = 13

Distribute -1/2

–3x – 5 = 13

Add 5 to each side

-3x-5+5 = 13+5

–3x = 18

Divide each side by -3

-3x/-3 = 18/-3

x = -6

Answer:

No! 20% does not correspond to a central angle 20°.

Step-by-step explanation:

The central angle for pie chart is 360°.

So, a category represents 20% is 20%(360) for central angle.

Let's simplify it to get the angle,

[tex]\frac{20}{100} * 360[/tex]

Simplify it,

72°

So, 20% does not correspond to a central angle 20°.

Answer:

0.18

Step-by-step explanation:

Find the probability that both independent events occur by multiplying the individual probabilities by each other:

0.2(0.9)

= 0.18

So, the probability is 0.18

Answer:

c) The golf ball will travel 260.8 yards.

d) Hence the residual is 4.2 yards.

Step-by-step explanation:

c) y' = 2.8333x - 22.4967

Now the golf ball will travel [tex]= 2.8333\times100 - 22.4967[/tex]= 260.8 yards

here y'= 260.8 yards.

d) The residual is : y - y' = 265 - 260.8 = 4.2 yards.

Answer:

a)  [tex]y=260.8333~yd[/tex]

b) [tex]\Delta d=4.1667~yd[/tex]

c) [tex]y=260~yd[/tex]

d) [tex]\Delta y'=0.8333~yd[/tex]

Step-by-step explanation:

Given:

equation of line, [tex]y=2.8333x-22.4967[/tex]

x = club-head speed​ (in miles per​ hour)

y = the distance a golf ball travels​ (in yards)

a)

x = 100 mph

Then the distance travelled by the ball:

(put the given value of x in the above eq.)

[tex]y=2.8333\times 100-22.4967[/tex]

[tex]y=260.8333~yd[/tex]

b)

If the observed distance in the above case comes out to be 265 yards then the residual value will be:

[tex]\Delta d=265-260.8333[/tex]

[tex]\Delta d=4.1667~yd[/tex]

c)

From the calculated value when rounding it to the nearest tenth:

[tex]y=260~yd[/tex]

d)

The residual on rounding the calculated value to the nearest tenth:

[tex]\Delta y'=260.8333-260[/tex]

[tex]\Delta y'=0.8333~yd[/tex]

Answer:

(x+9)(x+5)

Step-by-step explanation:

find 2 numbers that add to 14 and multiply to 45

Answer:

-2/5 is the answer

I hope this will help you

Answer:

-2/5

Step-by-step explanation:

Just add the top numerator together -4 + 2 = -2

Answer:

[tex]\displaystyle c = \frac{20}{3}[/tex]

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

[tex]\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right][/tex]

Differentiate:

[tex]g'(x) = -21x^2+182x-280[/tex]

Let g'(x) = 0:

[tex]0 = -21x^2+182x-280[/tex]

Solve for x. First, divide everything by negative seven:

[tex]0=3x^2-26x+40[/tex]

Factor:

Zero Product Property:

[tex]x-2=0 \text{ or } 3x-20=0[/tex]

Solve for each case. Hence:

[tex]\displaystyle x=2 \text{ or } x = \frac{20}{3}[/tex]

Since the first solution is not within our interval, we can ignore it.

Therefore:

[tex]\displaystyle c = \frac{20}{3}[/tex]

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

Answer:

x = 15

Step-by-step explanation:

2x+10+4x+80=180

or, 2x+4x=180-80-10

or, 6x=90

or, x=15

Answered by GAUTHMATH

Answer:

how?

Step-by-step explanation:

I didnt get question

Answer:

2sinx.Cosx=cosx

2sin90°.cos90°=cos90°

2×1.0=0

0=0

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To find the domain value when the range value is -4 for the function

g(x) = -3x + 2, we need to solve for x when g(x) = -4.

Given: g(x) = -3x + 2

When the range value is -4, we have:

-3x + 2 = -4

Now, isolate x:

-3x = -4 - 2

-3x = -6

Now, divide by -3 to solve for x:

x = -6 / -3

x = 2

So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To know more about range:

https://brainly.com/question/29204101

#SPJ2