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ANTONII [103]
4 years ago
7

ASAP WILL GIVE BRAINLIEST!!! DO NOT USE PICTURES PLEASE Part A: Solve the equation 7x + 3x − 18 = 6(x + 3), and show your work.

(5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points) Distributive Property Subtraction Property of Equality Combine Like Terms Multiplication Property of Equality Division Property of Equality Given Addition Property of Equality

Mathematics
1 answer:
Brrunno [24]4 years ago
7 0
The answer is x=9 because (look at the picture)

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F(x) = 3x - 2x - 5<br><br> Factoring quadratics
bagirrra123 [75]

Answer:

(3x -5)(x+1)

Step-by-step explanation:

Factoring 3x^{2} -2x-5=0 results in (3x -5)(x+1)

4 0
3 years ago
Answer this question. please​
dimaraw [331]

Answer:

\boxed{\textsf{ The total surface area of the cuboid is \textbf{62 cm} $\sf ^2$  .}}

Step-by-step explanation:

Given that the base area of the cuboid is 7cm² . And it's volume is 21cm³ . We need to find its total surface area . Now here we need to find the height . We can find height as ,

<u>Height</u><u> </u><u>:</u><u>-</u>

\qquad\boxed{\boxed{\sf Height =\dfrac{ Volume}{Area } }}

\sf\implies Height =\dfrac{Volume}{Area} \\\\\sf\implies h =\dfrac{ 21cm^3}{7cm^2}\\\\\implies \boxed{ \pink{\frak { Height = 3 cm.}}}

\rule{200}2

Let's find out the Total surface area .

<u>TSA </u><u>of </u><u>cuboid</u><u> </u><u>:</u><u>-</u><u> </u>

\qquad\boxed{\boxed{\sf TSA_{(cuboid)} =2(lb + bh + hl ) }}

<u>Put </u><u>on</u><u> the</u><u> respective</u><u> values</u><u> </u><u>:</u><u>-</u><u> </u>

\sf\implies TSA_{(cuboid)}= 2( lb + bh + hl )\\\\\sf\implies TSA_{(cuboid)}= 2( 7cm\times 1cm + 1cm\times 3cm + 3cm \times 7 cm ) \\\\\sf\implies TSA_{(cuboid)}=2 ( 7cm ^2+3cm^2+21cm^2 ) \\\\\sf\implies TSA_{(cuboid)}=  2\times 31cm^2 \\\\\sf\implies \boxed{\pink{\frak{ TSA_{(cuboid)}=  62 cm^2}}}

3 0
3 years ago
Read 2 more answers
In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, how many light colors are there.
Alex17521 [72]

Answer:32

Step-by-step explanation:

Since 5 dark colors are equal to 8 light colors, see how many times 5 goes into 20. 20/5=4. So now multiply 8 with 4. 8x4=32.

4 0
3 years ago
Set up the characteristic equation, which is given by r2 − 5r − 6 = 0. The roots of this equation are given by r1 = 6 and r2 = −
s344n2d4d5 [400]

Answer:

Step-by-step explanation:

From your characteristic equation, your recursive equation is

f(n+2) = 5 f(n=1) +6f(n)

the general solution:

f(n) = A6^n + B(-1)^n

The initial conditions are

f(0) =1 ~~~and~~~ f(1) = 3

For f(0) = 1, that is

f(0) = A6^0 + B(-1)^0 = A+ B=1 (*)

For f(1) = 3, that is

f(1) = A6^1 + B(-1)^1 = 3

6A- B = 3 (**)

From (*) and (**) you solve for A and B

you have A = 4/7 and B= 3/7

Replace A, B into the general one, you have the particular solution for the given condition

f(n) = 4/7 *6^n +3/7*(-1)^n

4 0
4 years ago
Prove sums of angles in a triangle is 180 degree
goldfiish [28.3K]

Answer:

because a triangle has 3 sides and has 3 angles

so each angle on a equilateral triangle has 60 degrees which means

  60 x 3 = 180

Step-by-step explanation:

because a triangle has 3 sides and has 3 angles

so each angle on a equilateral triangle has 60 degrees which means

  60 x 3 = 180

6 0
3 years ago
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