All categories

3 years ago

Determine wheter a number satisfies am inequality using inequality statements

Mathematics

1 answer:

g100num [7]3 years ago

7 0

Step-by-step

j = 2 and j =1 because they both have a lower value than 3

You might be interested in

Qᴜɪᴢ- What is <img src="https://tex.z-dn.net/?f=y%20~%2B~3y%20%3D%200%20~%2B~24" id="TexFormula1" title="y ~+~3y = 0 ~+~

zhuklara [117]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

What is $\tt\:y+3y=0+24$ ? Explain it.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\tt \: y + 3 y = 0 + 24$

Combine y and 3y to get 4y.

$\tt \: 4y=0+24$

Add 0 and 24 to get 24.

$\tt \: 4y=24$

Divide both sides by 4.

$\tt \: y=\frac{24}{4} \\$

Divide 24 by 4 to get 6.

$\boxed { \boxed {\bf \: y=6 }}$

8 0

3 years ago

Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le

Helen [10]

Answer: $\overline{AC}=$ 12.5

Step-by-step explanation: The triangle ABC and its altitude $\overline{BD}$ is represented in the figure below.

Altitude is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of $\overline{BD}$ , now we have two similar triangles, which means that ratios of corresponding sides are equal:

$\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}$

$\overline{BD}^{2}=\overline{BC}.\overline{AD}$ (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

$\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}$

$\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2}$ (2)

Substituting (2) into (1):

$\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}$

We want to find f, so:

$\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}$

$f=\frac{10^{2}-5^{2}}{10}$

f = 7.5

The length of $\overline{AC}$ is

$\overline{AC}=f+5$

$\overline{AC}=7.5+5$

$\overline{AC}=12.5$

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0

2 years ago

Read 2 more answers

Given that

yulyashka [42]

Answer:

y = - 49

Step-by-step explanation:

Given

7x - 2y = 35 ← substitute x = - 9 into the equation

7(- 9) - 2y = 35, that is

- 63 - 2y = 35 ( add 63 to both sides )

- 2y = 98 ( divide both sides by - 2 )

y = - 49

5 0

3 years ago

Read 2 more answers

The sum of Two numbers is 9. The sum of the squares of the numbers is 41. Find the numbers.

Tju [1.3M]

Answer:

4 and 5

Step-by-step explanation:

Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"

X + Y = 9 {equation 1}

X² + Y² = 41 {equation 2}

from equation 1: y = 9-x

Substitute that into equation 2

x² + (9-x)² = 41

x² + 81 - 18x + x²= 41

2x² - 18x + 40 = 0

We can factor out a 2

x² - 9x + 20 = 0

(x-5)(x-4) = 0

x = 5 or 4

checking

Your two numbers are 4 and 5

4² + 5²

= 16 + 25

= 41

3 0

2 years ago

What is the area of the triangle?

Zigmanuir [339]

180 degrees is the area of a triangle

8 0

3 years ago