All categories

2 years ago

M is the midpoint of PQ. PM = 5x+8. PQ = 76. Find the value of x.

Mathematics

2 answers:

aivan3 [116]2 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

Since M is the midpoint of PQ

PM = MQ = 1/2 PQ

5x+8 = 1/2(76)

5x+8 = 38

5x = 38-8=30

x = 30/5 = 6

const2013 [10]2 years ago

3 0

Answer:

x = 6

Step-by-step explanation:

<u>First, let's revise a few definitions.</u>

Definition of midpoint: The point that is in the middle of a line.

M is the midpoint of PQ
PM = 5x + 8
PQ = 76
2PM = PQ

2PM = PQ
=> 2(5x + 8) = 76
=> 10x + 16 = 76
=> 10x = 76 - 16
=> 10x = 60
=> x = 6

Hence, the value of x is 6 units.

You might be interested in

Use cubes. Draw to show how you make ten. find the sum.

Mila [183]

If you're asking for the model for the second problem (I didn't see any unsolved), here it is!

7 0

3 years ago

If h (x) = {(-2,3), (0,4), (1,6), (2, 9)}<br><br> then what set of values represent h-1 (x) ?

vfiekz [6]

Answer:

$h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}$

Step-by-step explanation:

Given: $h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}$

To find: $h^{-1}(x)$

Solution:

A relation is said to be a function if each and every element of the domain has a unique image in the co-domain.

Inverse of a function exist if it is both one to one and onto.

$h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}$

$h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}$

7 0

2 years ago

Find the surface area Of the figure. 9 cm 1 cm Insert Answer 5 cm 5 cm 1 cm <br>

MAXImum [283]

<h2>this is a PICTURE </h2><h3>i HOPE IT'S HELP </h3>

8 0

2 years ago

Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5.

Andre45 [30]

Answer:

Option d) 5 to the power of negative 5 over 6 is correct.

$\dfrac{\sqrt[3]{\bf 5} \times \sqrt{\bf 5}}{\sqrt[3]{\bf 5^{\bf 5}}}= 5^{\frac{\bf -5}{\bf 6}}$

Above equation can be written as 5 to the power of negative 5 over 6.

ie, $5^\frac{\bf -5}{\bf 6}$

Step-by-step explanation:

Given that cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5.

It can be written as below

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= \dfrac{5^{\frac{1}{3}} \times 5^{\frac{1}{2}}}{5^{\frac{5}{3}}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= \dfrac{5^{\frac{1}{3}+\frac{1}{2}}}{5^{\frac{5}{3}}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= \dfrac{5^{\frac{2+3}{6}}}{5^{\frac{5}{3}}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= 5^{\frac{5}{6}} \times 5^{\frac{-5}{3}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= 5^{\frac{5-10}{6}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{5^5}= 5^{\frac{-5}{6}}$

Above equation can be written as 5 to the power of negative 5 over 6.

7 0

3 years ago

If anyone answers this is a BEAST !Justify each step of the solution by stating the property that was used to get to each step.

Neko [114]

4(-6x – 3) + 24x = -72x + 132

Step 1 -24x – 12 + 24x = -72x + 132 Distribute Property of Equality

Step 2: –12 = -72x + 132 equivalent

Step 3: -144 = -72x Subtraction Property of equality

Step 4: 2 = x Equivalent / Division property of equality

4 0

2 years ago