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8_murik_8 [283]
2 years ago
15

Solve for b. 16 = a² + b^2

Mathematics
1 answer:
laiz [17]2 years ago
7 0

Answer:

\sqrt{(4-a)(4+a)} =b

Step-by-step explanation:

16 = a^2 + b^2

16 - a^2 =b^2

4^2 - a^2 = b^2

\sqrt{4^2 - a^2} =b

\sqrt{(4-a)(4+a)} =b

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What would you do first to solve 5x−24=6
Alenkasestr [34]

answer: x=6

Step-by-step explanation:

move all terms that don't contain x to the right side and solve.

8 0
3 years ago
A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?
Troyanec [42]

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find <em>b</em>

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find <em>x</em> when <em>y</em> = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

4 0
3 years ago
PLEASE HELP AND SHOW WORK i'm very confused
noname [10]

Answer:

a. about 15.51 miles, rounded to 15.5 miles

b. about 31.02 miles, rounded to 31 miles

Step-by-step explanation:

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

 10           20           40          80             160       320        640

 1280      2560        5120      10240       20480   40960    81920

81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles

Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.

Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.

 

4 0
3 years ago
If √6 is the geometric mean between 4 and another number, then the number is<br> 1.5<br> 9<br> 24
konstantin123 [22]
Correct answer is A.

g - geometric mean
g= \sqrt{ab} &#10;\\&#10;\\g= \sqrt{6} ,a=4,b=?&#10;\\ \sqrt{6}= \sqrt{4b} &#10;\\  (\sqrt{6})^2= (\sqrt{4b} )^2&#10;\\6=4b&#10;\\&#10;\\b= \frac{6}{4} = \frac{3}{2}=1.5
4 0
3 years ago
What is true about AngleQRT? Select two options.
stiv31 [10]

The complete question is

"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?

Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"

The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT

<h3>What is the congruent triangle?</h3>

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

The triangle QST is isosceles with QT ≅ ST.

The ∠STR and ∠RTQ are congruent.

Now, consider two triangles ∠QTR and ∠STR

In the following triangle

TR  ≅  TR

QTR ≅ STR

QT ≅ ST

Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,

1. QR ≅ SR

2. QRT ≅ SRT

Since the above two angles are congruent so, they will have the same measure

That will be 90 degree.

Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT

For more information about congruent visit;

brainly.com/question/13367096

#SPJ1

5 0
1 year ago
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