Solve the following quadratic by
completing the square.
y = x2 + 10x + 10

Answers

Answer 1

Answer:

        x = -5 - √15    or   x = -5 + √15

Step-by-step explanation:

[tex]y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}[/tex]


Related Questions

Solve the solution by substitution.

Y= —5x + 13
-6x + 6y = 6

Show/ explain your work

Answers

Answer:

the solution is (2, 3)

Step-by-step explanation:

Make this work easier by reducing the second equation:

-x + y = 1, or y = x + 1

Substititing x + 1 for y in the first equation, we get:

x + 1 = -5x + 13, or (after combining like terms):

6x = 12

Then x = 2, and bercause y = x + 1 (see above), y = 2 + 1 = 3

Then the solution is (2, 3)

what's the answer to 7n - 7 = 1 +8n

Answers

Answer:

N = -8

Hope this helps!

Mark me brainliest if I'm right :)

In the figure below mPUR =77 and mST=74 Find mPR

Answers

Answer:

a)

The angle formed by intersecting chords is half of the sum of the intercepted arcs:

1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°

b)

The angle formed by two tangents is the half of the difference of the intercepted arcs:

m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°

HELPP ASAP IS PLEASEEE DONT SEND A FILE AT ALL STEP BY STEP EXPLANATION

Answers

Answer:

x + 6 y - 4

Step-by-step explanation:

A moved 6 units to the right so plus 6 then moved 4 units down so minus 4

what is the solution to 1< 25-4x<19?

Answers

Hope this helps

Hope you have a good day

How many lies of symmetry does this figure have ?

Answers

Answer:

B.

Step-by-step explanation:

You can draw draw ten lines through this figure to get symmetry either side.

Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions

Answers

Answer:

Hi, there your answer will be C. y=33/2x+425

Step-by-step explanation:

I tired uploading the picture on how I got my answer, but it keep saying inaapriate words which I didn't even said anything bad, but yeah trust me the answer is right.

HELP PLEASE! I NEED TO SUBMIT SOONN!!
I WILL GIVE ALOT OF BRAINLIST
2. For what value of x will the
rectangle at the right be a
square?

Answers

Answer:

x=1

Step-by-step explanation:

x+2=2x+1

x=1

sides of a square must be equal

Can someone help me I don't know what n represents

Answers

Answer:

n=7

Step-by-step explanation:

6(n-3) - 2n=10

Distribute

6n - 18 -2n = 10

Combine like terms

4n -18 = 10

Add 18 to each side

4n-18+18 = 10+18

4n = 28

Divide by 4

4n/4 = 28/4

n = 7

Turner's school is due west of his house and due south of his friend Pete's house. The
distance between the school and Pete's house is 16 kilometers and the straight-line distance
between Turner's house and Pete's house is 20 kilometers. How far is Turner's house from
school?

NO LINK I NEED A REAL ANSWER.

Answers

The distance is 12 km

Can anyone please help me I’ll give you brain list

Answers

Answer:

3a. yes

3b. y= 75x

3c. 600 mi

3d. 10 inches

Step-by-step explanation:

3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.

3b: y would equal the amount of inches multiplied by 75, so y=75x

3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles

3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches

a truck has 36 inch diameter. how far does the truck roll if the wheels rotate 5 complete revolutions. round answer to the nearest tenth of an inch

Answers

Resposta:

180

Espero ter ajudado

Please I need help! I need to find the Cosine of A

Answers

Answer:

cos A = 12/13 = 0.9231

(angle A = 22.62°)

Step-by-step explanation:

cos A = 12/13 = 0.9231

ANSWER=

cos A = 12/13 = 0.9231

(angle A = 22.62°)

EXPLANTION=

cos A = 12/13 = 0.9231

A spinner with five equal-sized sections numbered 1 through 5 is shown. The spinner is spun twice and the product of the numbers in the sections where the arrow lands is calculated. What is the probability that the product of the numbers is even?
A.)1/16
B.)4/25
C.)1/2
D.)16/25

Answers

Answer: The Answer is D.) 16/25

Step-by-step explanation: I got it correct on Study Island

Can someone please help me!! Ive been asking for help and I not getting any.. please help

Answers

AX is no
And the rest are yes

Over the last three evenings, Lena received a total of 111 phone calls at the call center. The third evening, she received 3 times as many calls as the first evening. The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?

Answers

Answer:

Lena famous or sum y she getting sm calls?!

Step-by-step explanation:

i do t really know how to do this pls help

Answers

Answer:

for number 5 Subtract 18 from both sides of the equation

4+18−18=30−18

for number 1 Subtract 7 from both sides of the equation

so number 3 subtract 3 from each side and so on hope it helps

im not sure how to explain it but--

for example.. the first one

1) y + 7 = 12

first, you subtract 7 from both sides

so-- you'll subtract 7-7 on the left and 12-7 from the right

now, you have y by itself since 7-7 = 0

y = 12-7, or y = 5

also its important to note that when the equation is like 2) and uses subtraction (x-4) instead of addition (y +7)-- then you add to both sides

so for 2)-- you'd add 4 to both sides for 4 to cancel out to equal 0

your goal is always to isolate the variable on one side

Please please I beg for the lord someone help

Answers

Answer:

y = -2/5 x + 4

Answer:

See explanation for answer.

Step-by-step explanation:

Slop intercept formula:  y = mx + b

Slope of this graph: 4

I hope this helps!

Have a lovely day!

Rafael drove 819 miles in 13 hours. At the same rate how many miles would he drive in 5 hours

Answers

Answer:

315

Step-by-step explanation:

819 miles/13 hours = 63 miles per hour

63 x 5 = 315

-2/7 + 1/3 , what would this be?

Answers

Answer:

1/21

Step-by-step explanation:

-2/7 + 1/3 = 3(-2) / 3(7) + 7(1) / 7(3) = -6/21 + 7/21 = (-6 + 7) / 21 = 1/21

Answer:

[tex]\sf \dfrac{1}{21}[/tex]

Step-by-step explanation:

[tex]\textsf{To calculate}-\dfrac{2}{7}+\dfrac{1}{3}, \: \textsf{ first make the denominators the same}.[/tex]

[tex]\textsf{Adjust the fractions based on their lowest common multiplier}:[/tex]

[tex]\implies -\dfrac{2}{7} \cdot \dfrac{3}{3} + \dfrac{1}{3} \cdot \dfrac{7}{7}[/tex]

[tex]\implies -\dfrac{2 \cdot 3}{7 \cdot 3} + \dfrac{1 \cdot 7}{3 \cdot 7}[/tex]

[tex]\implies -\dfrac{6}{21}+\dfrac{7}{21}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]

[tex]\implies \dfrac{-6+7}{21}[/tex]

[tex]\textsf{Add the numbers of the numerator}:[/tex]

[tex]\implies \dfrac{1}{21}[/tex]

Learn more about fractions here:

https://brainly.com/question/27979364

https://brainly.com/question/27943438


The sum of 4 consecutive odd numbers is 1040. Find the numbers.

Answers

Answer:

257+259+261+263 = 1040

Step-by-step explanation:

Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados ¿cuanto ha pagado por el terreno

Answers

Answer:

Si el metro cuadrado es a $ 50 Alejadro pagó por el terreno  $195 000

Step-by-step explanation:

Ya que no se especifica un valor por unidad de área podemos suponer por  ejemplo $ 50 / metro^2

Terreno:

0.3 hm^2

0.9 dam^2

1) Vamos convertir a la misma unidad de área las áreas del terreno para poder saber su costo.

-Hectómetro cuadrado

1 hm^2  = 10 000 m^2

Por lo tanto,

0.3 hm^2 * 10 000 m^2 /  1 hm^2 = 3000 m^2

-Decámetro cuadrado

1 dam^2  = 1 000 m^2

Por lo tanto,

0.9 dam^2 *  1 000 m^2 /1 dam^2  = 900  m^2

Así que el total del terreno es de 3900 m^2

2) Ahora podemos calcular el valor total del terreno

area* valor (por m^2)

3900  m^2  * $50/ m^2 =  $195 000

If logx = – 4, what is x?​

Answers

Answer:

solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying.

Exact Form:

x=  1/10000

Decimal form:

x=0.0001

Hopes this helps:

Answer: x = 1/10000

1. Use definition of common logarithm:
b^a = x if and only if logb (x) = a.
X = 10^-4


2. Use negative power rule x^-a = 1/x^a.
X = 1/10^4


3. Simplify 10^4 to 10000.
X = 1/10000

solve for y. -5(6+7y)= -5(6+y)​

Answers

Simplify to -30-35y=-30-5y
Move all ys to the right and move constants left, -30y= 0
Divide by -30
y=0

Answer:

y = 0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5(6+7y)=−5(6+y)

(−5) (6) + (−5) (7y) = (−5) (6) + (−5) (y) (Distribute)

−30 + − 35y = −30 + −5y

−35y − 30 = −5y −30

Step 2: Add 5y to both sides.

−35y − 30 + 5y = −5y −30 + 5y

−30y −30 = −30

Step 3: Add 30 to both sides.

−30y − 30 + 30 = −30 + 30

−30y = 0

Step 4: Divide both sides by -30.

−30y /−30  =  0 /−30

(9.1 × 109)(7.5 × 102)

Answers

Answer:

758803.5

Step-by-step explanation:

that's what i got- no idea if it's right though-

The first one is 1,631.9 the second is 765.0

21. identify the secant that intersects OA.

Answers

Answer: Line BC

=============================================================

Explanation:

A secant line cuts the circle so that part of the line is inside the circle, and the rest (or majority) of the line is outside the circle. In other words, the secant line intersects the circle at exactly two points.

This is in contrast to a tangent line that only touches the circle at exactly one point. Line L is the tangent line in this case.

Segment DC is a diameter of the circle as it goes through the center, and this segments endpoints are on the circle's edge. The segments AD and AC are radii of the circle.

Answer:

Line BC

Step-by-step explanation:

through: (2,-2) slope = -2
y=mx+b
-2=-2(2)+b what ur answer ​

Answers

Answer:

b= 2

Step-by-step explanation:

x=2

y=-2

slope= -2

y=mx+b

-2= -2(2) + b

-2= -4 +b

-2+4= b

2= b

Answer:

2=b through the slope -2=-2(2)+b

Find the midpoint of the line segment whose endpoints are the given points. (-24.6, 38.1) and (-25.7, -17.7)

Answers

Answer:

Midpoint is[tex](-25.15,10.2)[/tex]

Step-by-step explanation:

A line segment refers to line that has two endpoints.

Let [tex](a,b),(c,d)[/tex] be the endpoints of a line segment.

Midpoint of the line segment is given by [tex](\frac{a+c}{2} ,\frac{b+d}{2})[/tex]

Take the given points as follows:

[tex](a,b)=(-24.6,38.1)\\(c,d)=(-25.7,-17.7)[/tex]

Midpoint of a line segment [tex]=(\frac{-24.6-25.7}{2},\frac{28.1-17.7}{2})[/tex]

[tex]=(\frac{-50.3}{2} ,\frac{20.4}{2} )\\=(-25.15,10.2)[/tex]

If a radius of a circle is 30 inches then it’s diameter is what? Please help ty!

Answers

Answer:

60 inches

Step-by-step explanation:

Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches

Hope that helps! :)

-Aphrodite

Can you help me find the B plzzz

Answers

Answer:

B=80

Step-by-step explanation:

B is the same answer as the number on the other side

Answer: B= 80

B is the same answer as the other number
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