All categories

3 years ago

Help me out with this one please

Mathematics

2 answers:

Anna11 [10]3 years ago

8 0

Answer:

5) x = -1

6) x = 2

Step-by-step explanation:

5) 5 + 2x + 6 = x + 10

2x + 11 = x + 10

2x + 1 = x

1 = -x

-1 = x

6) (9x + 7) + (-3x + 20) = 39

6x + 27 = 39

6x = 12

x = 2

dlinn [17]3 years ago

8 0

Answer:

For question 5, x= -1

Step-by-step explanation:

Segment Addition Postulate = ab+bc=ac

For Question 5,

(a) + (b) = (c)

5+2x + 6 = x+10

5+2x+6=x+10

To solve that,

5+2x+6=x+10

Add 5+6

11+2x=x+10

Subtract 11 from both sides

2x= x-1

x-1=2x

You might be interested in

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

What is the gradient of the graph shown?

JulijaS [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

Avery bought 6.5 pounds of produce. If the produce was priced at $1.88 per pound, how much change did Avery receive if she paid

Katarina [22]

Answer:

the answer is $7.78

Step-by-step explanation:

You multiply 6.5 times 1.88. Then you subtract that answer from 20.

7 0

3 years ago

7x +4 what property is it

Anni [7]

Answer:

commutative property of multiplication

Step-by-step explanation:

8 0

3 years ago

Write the quadratic equation in standard form: 4x2 – 20 = -6x

timofeeve [1]

Answer:

4x^2+6x-20=0

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers