Answer:
=5
Step-by-step explanation:
4-9= -5
2-3 = -1
=5
.....
Answer:
y = \frac{4}{5}x + \frac{32}{5}
Step-by-step explanation:
(x₁ , y₁) = (-3, 4) & (x₂ , y₂) = (2 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{8-4}{2-[-3]}\\\\= \frac{8-4}{2+3}\\\\= \frac{4}{5}[/tex]
m = 4/5 ;
Equation of the line: y - y₁ = m(x - x₁)
[tex]y - 4 = \frac{4}{5}(x - [-3])\\\\y - 4 = \frac{4}{5}(x +3)\\\\y - 4 = \frac{4}{5}x + \frac{4}{5}*3\\\\ y = \frac{4}{5}x + \frac{12}{5}+4\\\\ y = \frac{4}{5}x + \frac{12}{5} + \frac{4*5}{1*5}\\\\ y =\frac{4}{5}x + \frac{12}{5} +\frac{20}{5}\\\\ y = \frac{4}{5}x + \frac{32}{5}[/tex]
Triangle ABC has side lengths 8 cm, 17 cm, and x cm. The side length of x is shorter than the longest side. What does the value of x need to be in order for the triangle to be considered a right triangle?
Answer:
8 cm and 15 cm
The measure of the side is 15 cm
The measure of the right angle triangle is 8 cm, 15 cm and 17 cm
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle BC = 8 cm
The height of the triangle be AB = x cm
The hypotenuse of the triangle AC = 17 cm
So , for the triangle to be a right angle triangle ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
So , AB² = AC² - BC²
On simplifying the equation , we get
AB² = 17² - 8²
AB² = 289 - 64
AB² = 225
Taking square roots on both sides of the equation , we get
AB = 15 cm
Therefore , the value of x is 15 cm
Hence , The measure of the side is 15 cm
The measure of the right angle triangle is 8 cm, 15 cm and 17 cm
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1 y=8x + 5
Linear or non-linear
2 y= -x + 5
3 y=0.75x - 2
4 y = -2x exponent 2 + 1
Thanks for the help with this stander mastery
Write an equation of the line that passes through (-2,3) and (0,8).
Answer: y = 5/2 x + 8
Step-by-step explanation:
Find m using two points (-2,3) and (0,8) = 8-(3) / 0- (-2) = 5/2
y = 5/2 x + b
8 = 5/2 (0) + b
8 = b
y = 5/2 x + 8
The regular price of a watch is $28.25. During a sale, the watch was marked 12% off. What was the price of the watch during the sale? (5 points)
a
$2.35
b
$3.39
c
$16.25
d
$24.86
Answer:
I believe the answer would be D, $24.86
What are the slope and the y-intercept of the linear function that is represented by the table?
х
3
4
у
1
30
NIE
에 <
2
23
15
1
4
13
30
CON
3
5
1
The slope is
2
5
and the y-intercept is -
1
2
The slope is, and the y-intercept is 5.
Answer:
Slope is -2/5 and y-intercept is -1/3
Step-by-step explanation:
To get the slope, we pick any two points and apply the slope formula
The slope formula is;
m = (y2-y1)/(x2-x1)
To get the slope, we select any two points
That will be;
(-3/4, -1/30) and (1/4,-13/30)
Substituting these in the slope formula, we have:
m = (-13/30 + 1/30)/(1/4 + 3/4)
m = 12/30 = -2/5
Generally, the equation of a straight line is;
y = mx + b
m is slope and b is the y-intercept
We already have the slope, to get the y-intercept, we select any of the points
-3/5 = -2/5(2/3) + b
= -3/5 + 4/15 = b
b = (-9 + 4)/15 = -5/15 = -1/3
Slope is -2/5 and y-intercept is -1/3
Answer:
A
Step-by-step explanation:
The slope is -2/5, and the y-intercept is -1/3.
On a farm 14 goats are male, and 11 of them are female goats. What percentage of these goats are male
Answer:
14/0.25=56% of goats are male
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Add the number of female and male goats (25), then divide the number of male goats (14) by 25 and you get 56%
A recipe calls for 4 0z of raisins. If I
use 224 0z of raisins, how many
batches of this recipe did I make?
Need help ASAP please
Answer:
$45
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio.
$120 ÷ 8 = $15 ← value of 1 part of the ratio, thus
3 parts = 3 × $15 = $45 ← amount David received
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Which equation could have the graph shown below? y = (x – 4)(x – 1)(2 + x)(3 + x) y = (x – 4)(1 – x)(2 + x)(3 + x) y = (x + 4)(x + 1)(2 – x)(3 – x) y = (x + 4)(x + 1)(2 – x)(x – 3)
Answer: (x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
Step-by-step explanation: Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
((((((((((((((x-4)•(x-1)•(x+2))•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
2
:
Equation at the end of step 2
(((((((((((((x-4)•(x-1)•(x+2)•(x+3))•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
3
:
Equation at the end of step 3
((((((((((((x-4)•(x-1)•(x+2)•(x+3)•(x-4))•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
4
:
Multiplying Exponential Expressions:
4.1 Multiply (x-4) by (x-4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-4) and the exponents are :
1 , as (x-4) is the same number as (x-4)1
and 1 , as (x-4) is the same number as (x-4)1
The product is therefore, (x-4)(1+1) = (x-4)2
Equation at the end of step
4
:
(((((((((((x-4)2•(x-1)•(x+2)•(x+3)•(1-x))•(x+2))•(x+3))•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
5
:
5.1 Rewrite (1-x) as (-1) • (x-1)
Multiplying Exponential Expressions:
5.2 Multiply (x-1) by (x-1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-1) and the exponents are :
1 , as (x-1) is the same number as (x-1)1
and 1 , as (x-1) is the same number as (x-1)1
The product is therefore, (x-1)(1+1) = (x-1)2
STEP
7
:
Pulling out like terms
7.1 Pull out like factors :
-x - 2 = -1 • (x + 2)
Multiplying Exponential Expressions:
7.2 Multiply (x + 2) by (x + 2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+2) and the exponents are :
1 , as (x+2) is the same number as (x+2)1
and 1 , as (x+2) is the same number as (x+2)1
The product is therefore, (x+2)(1+1) = (x+2)2
STEP
9
:
Pulling out like terms
9.1 Pull out like factors :
-x - 3 = -1 • (x + 3)
Multiplying Exponential Expressions:
9.2 Multiply (x + 3) by (x + 3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as (x+3)1
and 1 , as (x+3) is the same number as (x+3)1
The product is therefore, (x+3)(1+1) = (x+3)
((((((((x-4)2•(x-1)2•(x+2)2•-1•(x+3)2•(x+4))•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
10
:
Equation at the end of step 10
(((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1))•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
11
:
STEP
12
:
Pulling out like terms
12.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
12
:
((((((x-4)2•(x-1)2•(x+2)2•(x+3)2•(-x-4)•(x+1)•(2-x))•(3-x))•(x+4))•(x+1))•(2-x))•(x-3)
STEP
13
:
STEP
14
:
Pulling out like terms
14.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Equation at the end of step
14
STEP
15
STEP
16
:
Pulling out like terms
16.1 Pull out like factors :
-x - 4 = -1 •
Equation at the end of step
16
:
STEP
17
:
STEP
18
:
Pulling out like terms
18.1 Pull out like factors :
-x - 4 = -1 • (x + 4)
Multiplying Exponential Expressions:
18.2 Multiply (x + 4) by (x + 4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
Equation at the end of step
18
:
(((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(-x-1)•(2-x)•(3-x)•(x+1))•(2-x))•(x-3)
STEP
19
:
STEP
20
:
Pulling out like terms
20.1 Pull out like factors :
-x - 1 = -1 • (x + 1)
Multiplying Exponential Expressions:
20.2 Multiply (x + 1) by (x + 1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+1) and the exponents are :
1 , as (x+1) is the same number as (x+1)1
and 1 , as (x+1) is the same number as (x+1)1
The product is therefore, (x+1)(1+1) = (x+1)2
Equation at the end of step
20
:
((x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)•(3-x)•(2-x))•(x-3)
STEP
21
:
21.1 Rewrite (2-x) as (-1) • (x-2)
Multiplying Exponential Expressions:
21.2 Multiply (x-2) by (x-2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-2) and the exponents are :
1 , as (x-2) is the same number as (x-2)1
and 1 , as (x-2) is the same number as (x-2)1
The product is therefore, (x-2)(1+1) = (x-2)2
22.1 Multiply (x-3) by (x-3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x-3) and the exponents are :
1 , as (x-3) is the same number as (x-3)1
and 1 , as (x-3) is the same number as (x-3)1
The product is therefore, (x-3)(1+1) = (x-3)2
Final result :
(x-4)2•(x-1)2•(x+2)2•(x+3)2•(x+4)2•(x+1)2•(x-2)2•(x-3)2
A pizza buffet has prepared 18 pizzas to place on the line at the beginning of lunch at 11:00 a.M. The equation y 14x + 18 can be used to describe the total number of pizzas that have been placed out on the buffet line, where x represents every 9 minutes after 11:00 a.M. Which statement best describes the rate of change in the number of pizzas set out on the buffet?
Answer: b. Every 18 minutes, 28 more pizzas were set out on the buffet.
Step-by-step explanation:
The equation is in the form: y = mx + c
m is the gradient which represents the rate of change per a given value of x.
x here is every 9 minutes after 11:00. Every 18 minutes therefore will give x a value of 2 because 18/9 = 2.
The rate of change every 18 minutes is therefore;
= 14 * 2
= 28 pizzas
What is the composition of the translations (T ∘ T ) (x, y) as one translation
Answer:
Step-by-step explanation:
Solve the system of equations below
Answer:
The answer is B. (-7,-2)
Step-by-step explanation:
Multiply the first equation by 7,and multiply the second equation by -6.
7(−3x+6y=9)
−6(5x+7y=−49)
Becomes:
−21x+42y=63
−30x−42y=294
Add these equations to eliminate y:
−51x=357
Then solve−51x=357for x:
−51x=357 Divide both sides by -51
x=-7
Write down an original equation:
−3x+6y=9
Substitute−7forxin−3x+6y=9:
(−3)(−7)+6y=9
6y+21=9(Simplify both sides of the equation)
6y+21+−21=9+−21(Add -21 to both sides)
6y=−12
y=-2
Answer:
-7-2
Step-by-step explanation:
Solve 4(2x/3+8)=40 X=?
Side note: 2x/3 is a fraction
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Undo what has been done to the variable.
4(2x/3 +8) = 40
2x/3 +8 = 10 . . . . . divide by 4
2x/3 = 2 . . . . . . . . . subtract 8
x = 3 . . . . . . . . . . . . multiply by 3/2
write the slope intercept form of the equation of each line
Answer:
7) y= -2x + 2
8) y= -2x + 1
Step-by-step explanation:
look at picture correct answer gets brainlist
Answer:
option C is correct
4 degree polynomial with 4 terms
I need help thank you.
Answer:
The answers and steps are in the picture
Mr. Kaffey used a full 3-liter bottle of soda to fill two containers. He put 0.276 liter of soda in the first container. He put 0.92
liter of soda in the second container. How many liters of soda remained in the bottle?
Answer:
1.804 L
Step-by-step explanation:
Solve for y
*show your work *
6. -6 + 2y= -x
7. 3y - 6x = 15
8. 2x + 4y = 8
9. 3x -3y = 3
10. 1/2y - 4x = 2
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
how to use standard form
Answer: Standard form is another way to write slope-intercept form (as opposed to y=mx+b). It is written as Ax+By=C. You can also change slope-intercept form to standard form like this: Y=-3/2x+3. Next, you isolate the y-intercept(in this case it is 3) like this: Add 3/2x to each side of the equation to get this: 3/2x+y=3.
Step-by-step explanation: hope this helps
All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
6 miles in 2 hours
0ne hour will be 3 miles.
We have,
6 tickets = $99
Divide both sides by 6.
1 ticket = 99/6
1 ticket = $16.5
The multiplication equation to determine the cost C in dollars of each ticket:
$C = 99 x 1/6
Thus,
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
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65 effing points, will mark brainliest! here we go again
Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.
Answer:
No
Step-by-step explanation:
The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes. if you divide 950 with 2, you get 475 which would be the time in minutes it takes to climb, if we convert 475 minutes to hours, it would be an estimate of 7.92 hours. So as we see they would need an extra 92 minutes to climb the full 950 feet. If you were able to climb it at an average rate of 135.7 ft/hr, you could make it.
(this was someone elses explanation)
at least how many hours of sleep do students ages seven to twelve need per night
A seven
b eight
C nine
d ten
Answer:
10 hours
Step-by-step explanation:
ok
A recipe for a loaf of bread calls for 2/3of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
Answer: 18 loaves of bread.
Step-by-step explanation:
Do 12 divided by 2/3 which is the same thing as multiplying 12 by the reciprocal (just flip the fraction) of 2/3 which is 3/2. 12x3/2 is 36/2 which is equal to 18.
\begin{aligned} 4{,}570=& 4 \text{ thousands} + 5 \text{ hundreds} + 7 \text{ tens} \\\\ 4{,}570=& 3 \text{ thousands} +\bigstar\text{ hundreds} + 7 \text{ tens} \end{aligned} 4,570= 4,570= 4 thousands+5 hundreds+7 tens 3 thousands+★ hundreds+7 tens ★ =
2x – 3 = 7.
What’s the answer
Answer: The answer is x=5
Step-by-step explanation: 2x-3=7
+3=+3
2x=10
x=5
What is the approximate value of sin C?
B
13.93
5
A
13
12
O A. 0.93
OB. 0.36
O C. 2.79
D. 0.38
Answer: 0.36
Step-by-step explanation:
Ap3x
Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later. Mel then shared the remaining portion among himself and 2 friends. What fraction of the whole quesadilla did each person get?
Answer:
1/3
Step-by-step explanation:
Mel made a quesadilla. He cut 1/10 of the quesadilla to save for later.
Let the whole portion of the quesadilla be represented as 10/10 = 1
The amount of quesadilla Mel left
= 1 - 1/10
= 9/10
Mel then shared the remaining portion among himself and 2 friends.
The amount if each portion that Mel and his friends got is calculated as:
9/10 ÷ 3 friends
= 9/10 × 1/3
= 3/10
Mel and his friends got 3/10 of the remaining quesadilla.
The fraction of the whole quesadilla(10/10) did each person get is calculated as:
10/10 × 3/10/9/10
= 3/10 ÷ 9/10
= 3/10 × 10/9
= 1/3
there are 25 painters an 80% of them are painting the interior how many painters are painting the inside
Answer:
20 painters are painting the inside
Step-by-step explanation:
Find the value of X.....
Answer:
64
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
46 46 + 46
----- = -------------
32 x
Then 46x = 2(46)(32), and so x works out to 64.
Answer:
64
Step-by-step explanation:
Hope this helped :)
Someone deleted some of my answers even though they were correct. I don't know why.
Please help with this question
Answer: Negative
Step-by-step explanation:
A is farther from 0 on the number line, whereas B is closer to zero. If A is negative and B is positive, B + A will be negative as the absolute value of A is greater than the absolute value of B (further from 0).
Answer:
The correct answer is B Negative
Step-by-step explanation:
When you are adding a negative, and a positive, if the negative will take over, and vice versa. For example if you were to add -8+3 it would equal -5.