What is the value of x? show all your work
Answer:
x or AB = 9
Step-by-step explanation:
Use Pythagorean Theorem to solve for missing side.
Pythagorean Theorem: a² + b² = c²
Plug our sides in to get AB² + BC² = AC²
We are solving for AB so we arrange the equation to get:
AB² = AC² - BC²
Solve for AB:
AB² = (√117)² - (6)²
AB² = 81
AB = 9
x or AB = 9
In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the line? A) y = 1 2 x + 3 B) y = 2x + 3 C) y = 1 2 x − 4 D) y= 2x − 4
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).
We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)
Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get
= (5-3)/(4-0)
= 2/4
= 1/2
Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get
3=1/2(0)+c
c=3
Put m=1/2 and c=3 in y=mx+c, we get
y=1/2 x+2
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
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Which best describes how a credit card works?
The credit card company extends you a line of credit. You then pay a small percentage of the cost of those purchases in one annual payment.
The credit card company extends you a line of credit. You purchase "stuff" and the purchase gets directly paid with funds in your checking account.
The credit card company extends you a line of credit. This is free money that you can use to purchase the "stuff" that you need.
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
Answer:
D
Step-by-step explanation:
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment
The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
It should be noted that a credit card company typically extends a line of credit to an individual. Then the individual can purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.In conclusion, the correct option is D.
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What is the value of n?
n/73=8.76
Answer:
n=639.48
Step-by-step explanation:
Answer:
639.48
Step-by-step explanation:
Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7
Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
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A store sells 3 candy bars for $2 at the checkout stand. They also sell a box containing 16 candy
bars for $10. Which offer leads to the least expensive candy bar?
Answer:
the 16 candy box
Step-by-step explanation:
Answer:
16 candy bars for $10.
Step-by-step explanation:
This is because the price per candy bar when you buy 16 for $10(.625) is cheaper than that of 3 candy bars for $2(.6666666 and so on).
Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12
Me.Ramirez divid 12 frogs
Answer: my last names Ramirez!
Step-by-step explanation:
1 of 12
Solve for X
x + 15 = 21
X =
=
0
Answer:
X=6
Step-by-step explanation:
To find the answer you could do 21 - 15 and that gets you an answer of 6 and thats how to get your answer.
Write a two-column proof.
Given m<4 =35, m<1= m<2 + m<4.
Prove m<3 = 70
Answer:
given m<4 = 35° and m<1 = m<2 + m<4
prove m<3 = 70°
Statements Reasons
m<4 = 35° given
m<1 = m<2 + m<4 given
m<2 = m<4 by the vertical angles theorem
35° = 35° substitution property of equality
m<2 + m<4 = m<1 angle addition postulate
35° + 35° = 70° substitution property of equality
m<3 = m<1 by the vertical angles theorem
m<3 = 70° substitution property of equality
The two column proof for the given set of angles are:
m∠2 = m∠4 by the vertical angles theorem
m∠3 = m∠1 by the vertical angles theorem
Given data:
The measure of angle
The measure of angle m∠4 =35,
The measure of angle m∠1= m∠2 + m∠4.
Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Therefore, m∠2 = m∠4 by the vertical angles theorem
m∠3 = m∠1 by the vertical angles theorem
35° + 35° = 70° substitution property of equality
Hence, the measure of angle m∠3 = 70°
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How do I post pictures?
Answer:
Use the "Brainly" App
Step-by-step explanation:
Download the "Brainly" app, then log into your account, and enable your camera to have your questions searched into their system.
that passes through the
What is the point-slope form of the line with slopez
point (-4, – 7)?
y - 4 = } (x – 7)
—
Oy - 7 = 3 (x – 4)
Oy+7= } (x+4)
Oy+4= } (x+7)
It’s question 5
Answer:
answer 3
Step-by-step explanation:
point slope form is
[tex]y - y1 = m(x - x1)[/tex]
Elisa owns 28% of the Grudman Corporation. The rest of the shares are owned equally by the remaining six shareholders. What percent of the corporation does each of the other shareholders own?
Answer:
12%
Step-by-step explanation:
each shares 12% because 100-28=72
72÷6=12%
See photo please help
Answer:
2/3 is right one . option no B
Select all of the following statements that are true.
- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0
Answer:
-+=- is true
Step-by-step explanation:
because - and+ are equal to -
but - and- are eqial to +
What is the equation of the line shown on the graph?
A y=x
B y=4x
C Y= -x
D Y =1/4 X
Mrs. Sampson bought 8
packages of clay for a total of $32
for an upcoming art project. At
this rate, how much would 14
packages cost?
Answer:
$56
Step-by-step explanation:
cost of 8 packages of clay = $ 32
cost of 1 package of clay = 32 / 8 = $4
cost of 14 packages = 14*4 = $ 56
Can someone help me please :)
9514 1404 393
Answer:
(d) y = 2×7^x
Step-by-step explanation:
If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.
a) 14^2 = 196
b) 7×2^2 = 28
c) 2^(7×2) = 2^14 = 16,384
d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice
__
Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:
98/14 = 7
so you're looking for something of the form 7^x. That would be ...
y = 2×7^x
__
In more general terms, consider
y = ab^x
If you have x=1 and x=2, then this will be ...
y1 = ab^1 = ab
y2 = ab^2
Dividing the second by the first gives ...
y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1
98/14 = b = 7
From the x=1 case, we have ...
14 = 7a ⇒ a = 2
y = 2·7^x
Rewrite the fraction 1/6 as a division expression with the same numbers.
9514 1404 393
Answer:
1 ÷ 6
Step-by-step explanation:
1/6 is a division expression. It means "one divided by six."
The slash (/) can be replaced by the "divided by" symbol (÷), if you like.
1/6 = 1 ÷ 6 . . . . means "one divided by six"
Last month, Donovan ran 48 miles. James ran m miles. Donovan ran 3 times as far as James. Which equation can be used to find m, the number of miles James ran?
Answer:
45
Step-by-step explanation:
78
In slope intercept form y=mx+b, the y-intercept is located at (0,b).
a. What equation results from substituting (0,b) for (x1,y1) in the point-slope form y-y1= m(x-x1)?
b. How are the slope-intercept and the point-slope forms related?
a . When (0,b) is substituted for (x1,y1) in the point-slope form y-y1=m(x-x1). the result is__
( Type an equation )
Please Help asap
Step-by-step explanation:
a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.
b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)
c. y = mx + b. Refer to a.
Answer:
a) y-b=m(x-0)
b) (x1, y1) , point-slope, y, slope-intercept
Explanation
-12 is an element of what sets of numbers?
Answer:
real numbers, integers, and rational numbers
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answer:
ydkyksykdysjgjzgjz
Step-by-step explanation:
hlxkzgkzgksykkxmhxykdkydxkhoueydozgkhmzmhxkhdyoeoyxydkydkmxhylekdhkkysykyskkkysyek sheets obvi redfin
What is the value of
-3x+2y-x
When x = -1 and y = 5
5(t-9) +12t=20
3(6m-17),m=5
A bedroom wall is 12 feet long. A decorator places the center of a square painting that has side lengths of 3 feet in the exact center of the bedroom wall.
How many feet are between the right edge of the painting and the right edge of the bedroom wall, x?
O 16 feet
o 9 feet
04 feet
.3 feet
the answer is 9 feet
cuz 12-3=9
Liam's mom was getting ready to make dinner and
found she was out of potatoes for her famous
smashed potatoes. Liam volunteered to go to the
store and get potatoes for his mom. He spent $11.52
for 12 pounds of potatoes. How much did he spend
per pound?
Answer:
$0.96
Step-by-step explanation:
Take your cost and divide it by your amount.
$11.52/12 = 0.96
Town B is 8 miles north and 17 miles west of town A. How far are
the two towns apart?
9514 1404 393
Answer:
18.8 mi
Step-by-step explanation:
The Pythagorean theorem can be used to find the straight-line distance between the towns. The distances 8 mi and 17 mi form the legs of a right triangle, whose hypotenuse is the straight-line distance.
d² = 8² +17² = 64 +289 = 353
d = √353 ≈ 18.8 . . . miles
The two towns are about 18.8 miles apart.
Use the given property of equality to complete the statement. Reflexive Property of Equality b + 5 + 12 =
Answer:
b=-17
Step-by-step explanation:
1) add common terms aka 5 and 12, which is 17
b+17=0
2) move seventeen to the other side by doing the opposite opperation of addition which is subtraction
b=-17
What is the absolute value function?
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
PLEASE HELP PLEASE PLEASE PLEASE
Answer:
c
Step-by-step explanation:
The absolute value function would be;
b. y= -7 |x - 8| +4
Given that;
The functions are,
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).
In the given options, the equation that represents the absolute value function is:
b. y = -7 |x - 8| + 4
This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).
As x approaches 8 from the left, the value of y decreases.
As x moves away from 8 towards positive or negative infinity, the value of y increases.
Therefore, the correct option is (b).
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