1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SVETLANKA909090 [29]
3 years ago
9

Use Pythagorean theorem to find the missing side c=7, b=6a; find a and b

Mathematics
1 answer:
avanturin [10]3 years ago
7 0
It might have been helpful to you to have drawn this triangle first, and then labeled the sides.  I will have to assume that the length of the hypotenuse is c = 7, so that a^2 + b^2 = c^2 = 7^2 = 49.

if b = 6a, then this equation becomes a^2 + (6a)^2 = 49.
Simplifying, a^2 + 36a^2 = 49

37a^2 = 49

a^2 = 49/37

a = plus or minus 7 / sqrt(37), or plus or minus 7sqrt(37)/37.

Then b = 6a = 6(7)sqrt(37)/37.  Simplify this to obtain the answer.
You might be interested in
Which number completes the inequality? Two-thirds less-than blank less-than StartFraction 7 over 9 EndFraction Three-fifths Star
svp [43]

Answer:

b

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Find the other endpoint of the line segment with the given endpoint and midpoint.
Damm [24]

Answer:

Step-by-step explanation:

(x - 3)/2 = 9

x - 3 = 18

x = 21

(y - 5)/2 = 6

y - 5 = 12

y = 17

(21, 17)

3 0
4 years ago
Which of the following values is closest to the variance for the set of data shown below?
steposvetlana [31]
To find the variance, you must square the standard deviation, or <span>σ.
 </span>
<span>σ = 23.9

The variance is
</span>
<span>σ²= 23.9² = 571.21



</span>

5 0
4 years ago
Which is an equation of the line that passes through the points (–6, 3) and (2, 7)?
Mnenie [13.5K]

Step-by-step explanation:

the typical line equation is

y = ax + b

a is the slope. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.

going from one to the other point

x changes by +8 (from -6 to 2).

y changes by +4 (from 3 to 7).

so, the slope a is +4/+8 = 1/2.

the semi-finished equation is

y = 1/2 x + b

for b we use one of the points in the equation and since for b. let's go for (2, 7) :

7 = 1/2 × 2 + b = 1 + b

6 = b

so, the full equation is

y = 1/2 x + 6

8 0
2 years ago
If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (fºg)(x)?
RUDIKE [14]

Answer:

(-∞, ∞)

Step-by-step explanation:

Given,

f(x)=x^2-1 \ and\ g(x)=2x-3

Then (fºg)(x) would be ,

(2x-3)^2-1\\4x^2-12x+9-1\\4x^2-12x+8

Since this is a polynomial, we know domain of a polynomial is all real number.

Therefore the domain of this (fºg)(x) is (-∞, ∞).

5 0
3 years ago
Other questions:
  • PLEASE ANSWER ASAP!!!! ILL MAKE YOU BRAINIEST!!!<br><br> What is the length of XY?
    12·2 answers
  • Bill has $270.61 in his account before making any transactions. Over the course of a week, Bill makes the following transactions
    6·2 answers
  • 2x-2y+z=3 5y-z=-31 x+3y+2z=-21​
    10·1 answer
  • Solving Inequalities
    7·1 answer
  • Tyreese is using algebra tiles to solve the equation below.
    14·2 answers
  • TIME
    9·1 answer
  • This question is designed only to give someone brainlist. <br><br> Submit your cheese to continue.
    10·2 answers
  • Jaimie earned $80 this week coaching basketball, which is twelve dollars more than twice what she made last week. How much money
    11·1 answer
  • Can someone help me on this one!
    10·1 answer
  • Write the equation in standard form for the circle with center (-5,8) and radius 4
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!