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2 years ago

Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5?

Mathematics

2 answers:

kogti [31]2 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

You are given the equation $8x+(-4)=11x+5$

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form

$8x+(-4)+(-8x)=11x+5+(-8x)\\ \\-4=3x+5$

2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is

$-4+(-5)=3x+5+(-5)\\ \\-9=3x$

3. Divide both sides by 3:

$\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3$

aleksandr82 [10.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

the answer is a c d

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A tree casts shadow 26 ft long. A 3 ft tall flowers casts a shadow 4 ft long. How tall is the tree?

Rufina [12.5K]

Answer:

19. 5 feets

Step-by-step explanation:

Shadow of tree = 26 feets

Height of flower = 3 feets

Shadow of flower = 4 feets

Height of sun Innthe sky:

Shadow of flower / height of flower

= 4/3 = 1.333333

Height of tree:

Shadow of tree / height of sun

26 feets / 1.33333

= 19.5 feets

Hence, height of tree = 19.5 feets

5 0

2 years ago

Determine

mihalych1998 [28]

Answer:

$=4.+2.$

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector $\vec b$ is a linear combination of $\vec a_1$ and $\vec a_2$ if there are two scalars $x_1, x_2$ such as

$\vec b=x_1\vec a_1+x_2\vec a_2$

In our case, all the vectors are given in $R^3$ but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.