Help asap pls!!! Put steps if possible 3

Answer:

  k = {3, 11}

Step-by-step explanation:

Taking the square root of the given equation, we find ...

  x +k = ±4

For x = -7, this is ...

  -7 +k = ±4

  k = 7 ±4 = {3, 11}

Possible values of k are 3 and 11.

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

Taking square root on the both sides of equation (x + k)² = 16 we get,

[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]

[tex]\implies\rm{x + k = ± 4}[/tex]

Making two conditions for ± 4 i.e

1) x + k = 4

[tex]\implies\rm{ - 7 + k = 4}[/tex]

[tex]\implies\rm{k = 4 + 7}[/tex]

[tex]\implies\rm{k = 11}[/tex]

2) x + k = -4

[tex]\implies\rm{ - 7 + k = - 4}[/tex]

[tex]\implies\rm{k = - 4 + 7}[/tex]

[tex]\implies\rm{k = 3}[/tex]

Answer: 38 miles per gallon ; 342 miles.

Step-by-step explanation:

The miles/gallon that he got on the trip will be:

= 228/6

= 38 miles per gallon.

When he used 9 gallons of gas, the distance travelled will be:

= 38 × 9

= 342 miles

Answer:

Question :

Jamar drove 228 miles and used 6 gallons of gas.

Solution :

a) How many miles/gallon did he get on the trip?

[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]

[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]

[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]

Hence, he get 38 miles/gallon for his trip.

[tex]\rule{200}2[/tex]

b) On another trip, he used 9 gallons of gas. How far did he travel?

[tex]{\implies{\sf{38 \times 9}}}[/tex]

[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]

Hence, he traveled 342 miles by using o gallon og gas.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

Answer:

7

Step-by-step explanation:

Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:

[tex]3x^2+7y^3+2x+9y-5y^2[/tex]

The first term is: [tex]3x^2[/tex]

The second term is: [tex]7y^3[/tex]

The third term is: [tex]2x[/tex]

The fourth term is: [tex]9y[/tex]

The fifth term is: [tex]-5y^2[/tex]

Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:

The first coefficient is: 3

The second coefficient is: 7

The third coefficient is: 2

The fourth coefficient is: 9

The fifth coefficient is: -5

The equation of the line is [tex]y=8[/tex]

To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]

[tex]y-y_0=m(x-x_0)[/tex]

For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]

substituting the required values, we have

[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]

The required equation is [tex]y=8[/tex]

Learn more here: https://brainly.com/question/1690609

Answer:

176

hope it helps :)

mark brainliest!!

Answer:

Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?

Answer:

Solution here,

Principal=?

Time =3 year

Rate of percent= 4.5

SIMPLE intrest=$405

Now

Principal=(SIMPLE INTREST × 100)/(TIME × RATE)

=$40500/13.5

=$3000

To solve this you need to use the formula: y2 - y1

                                                                          x2 - x1

9-(-7) over -6-(-4)

The answer would be -8.

Answer:

yes

Step-by-step explanation:

Answer:

C2H2 + 3O2 ---> 2CO2 + 2H2O

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

In order to be in standard form, all the variables should be on the same side of the equation. The x^2 term should be first, then the x term then the constant (you could think of it as an x^0 term; it is a plain number) The coefficients of the x^2 term and the x term, should be integer coefficients (the number next to the x^2 and x cannot be a fraction or decimal)

Answer:

Option D.

Step-by-step explanation:

A  function is a relation in which one input (x-value) is assigned to exactly one output (y-value).

Since option D's x-values do not repeat, then it is a function.

Hope this helps.

Answer:  49/55  

7/11 x 7/15 x 3  

49/165 * 3  

147/165  

49/55

[tex]\dfrac{7}{11} \times \dfrac{7}{15} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{3\times 5} \times 3\\\\\\=\dfrac{7}{11} \times \dfrac{7}{5}\\\\\\=\dfrac{7\times7}{11 \times 5}\\\\\\=\dfrac{49}{55}[/tex]

Answer:

Step-by-step explanation:

Given:

y1 = 5.2

y2 = 1

x1 = 0

x2 = -1.5

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 1 - 5.2 ) / ( -1.5 - 0 )

m = -4.2 / -1.5

m = 2.8

then

y - y1 = m ( x - x1 )

y - 5.2 = 2.8 ( x - 0 )

y - 5.2 = 2.8x - 0

y = 2.8x + 5.2

Answer: u < 6

Step-by-step explanation: 2 + u < 8

u < (8-2)

u < 6

Answer:

a = 70°, b = 140°

Step-by-step explanation:

use alternate interior angles

The interior angles of a straight line are 180°

a = 180°-110° = 70°

b = 180°-40° = 140°

//I'm sorry, but I'm not very fluent in English.

Answer: 1:15pm

Step-by-step explanation:

Answer:5/5 then 10-7 then 6/2

Step-by-sanation:

Therefore, 8 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.

To read the slope, you must have x and its coefficient on opposite sides of the equal sign.

So you get

y = 8x – 12 when you add 8x to both sides

Next, the y intercept is found when x = 0

y = 8x – 12

y = 8(0) – 12

y = – 12

The  y intercept is -12 or in point form (0, – 12)

Answer

slope = 8

y intercept = – 12

Step-by-step explanation:

Answer:

14) C

15) D, because 90:20=4.5

Answer:

2x-10=x

take -10 to the other side it becomes +10

Answer:

70°

Step-by-step explanation:

The V angle is complementary with the R which means that

120° + V angle = 180° Therefore V = 60°

The sum of the internal angles of the triangles equals 180.

We have 50° + 60° + U = 180

70° is the answer

Answer:

h(t) = -16t2 + 184t + 18

at the ground h = 0

hence;  -16t2 + 184t + 18 = 0  

solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)

Step-by-step explanation:

Answer:

8cups

Step-by-step explanation:

if it takes 4-cups for 4-dozen. That's 1-cup each dozen so 8-dozen is 8-cups

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

Explanation:

1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.

The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.

Answer:$1375 in interest and $6875 total.

Step-by-step explanation: