Answer:
y
Step-by-step explanation:
y
=
4
x
−
26
Explanation:
The slope-intercept form of a line is:
y
=
m
x
+
b
where:
m
is the slope of the line
b
is the y-intercept
We are given that
m
=
4
and the line passes through
(
7
,
2
)
.
∴
2
=
4
⋅
7
+
b
2
=
28
+
b
b
=
−
26
Therefore the equation of the line is:
y
=
4
x
−
26
graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}
Prove that a triangle with coordinates
A(5, 6), B(8,5), and C(2, -3) is a right triangle.
Answer:
Because the side of the triangle forms pythagoras tripple
Line AB = √10
Line BC = 10
Line AC = √90
Step-by-step explanation:
From the question,
In the triangle,
Line AB = √[(8-5)²+(5-6)²]
Line AB = √(3²+-1²)
Line AB = √(9+1)
Line AB = √10
Also,
Line BC = √[(2-8)²+(-3-5)²]
Line BC = √(-6²+(-8)²)
Line BC = √(36+64)
Line BC = √100
Line BC = 10 unit.
Finally,
Line AC = √[(5-2)²+(6+3)²]
Line AC = √(3²+9²)
Line AC = √(9+81)
Line AC = √90.
From the above length of the line in the triangle,
Line AC, Line BC and Line AC are pythagoras triple.
I.e
10² = (√10)²+(√90)²
100 = 10+90
100 = 100.
Note only a a right angle triangle obeys pythagoras theorem.
whoops sorry, no question here
Answer:
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You buy an electronic organizer that is on sale for 15% off
the original price of $20. What is the sale price?
Answer: The sell price is $3
Step-by-step explanation: If you multiply 20 x 15 = 300 divide by 100 equal 3
What is f(-6)? Hint: plug (-6) in for the variable p.
Complete the table.
Step-by-step explanation:
f(-7)= (-7)^2 + 6×(-7)=49-42= 7
f(-6)=36-36= 0
f(-5)=25-30= -5
f(-4)=16-24= -8
What is the equation in slope-intercept form of the line that passes through the points (-4, 2) and (12, 6)?
Answer:
Step-by-step explanation:
How do you find an exponential growth model
Answer:
When the line of the graph is going up
Step-by-step explanation:
When the line is going down that means its a exponential decay :)
Write an equivalent expression for -5(8-2x)
Help plz, just give me the points on the graph thanksss <33
Help!!! Bo and Erica are yoga instructors. Between the two of them, they teach 46 yoga classes each week. If Erica teaches 14 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 24 Erica
B.
24 Bo; 22 Erica
C.
17 Bo; 29 Erica
D.
20 Bo; 26 Erica
Answer: D
Step-by-step explanation:
2x - 14 + x= 46
3x = 60
x= 20
There are 568 apples in the kitchen ready to make apple pies, if 50% of them are green, how many are green?
Answer:
284 apples are green
Step-by-step explanation:
50 is half of one hundred so you divided 568 by 2
A customer at a store paid $60 for 2 large candles and 6 small candles. At the same store, a second customer paid $5 more than the first customer for 1 large candle and 4 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
A.
6y = 2x + 60
4y = x + 65
B.
6y = 2x + 60
4y = x + 55
C.
2x + 6y = 60
x + 4y = 65
D.
2x + 6y = 60
x + 4y = 55
Answer:
b
Step-by-step explanation:
What is the value of x in the figure shown?
19°
71°
81°
89°
Answer: 19
Step-by-step explanation:
Answer: it is 71,because 180-109=71
Step-by-step explanation:
What is the name of the little gates that control the airflow through the brass instrument? A. slides B. bend C. valves D. pick ( this is for music class)
Answer:
valves
Step-by-step explanation:
Two angles are complementary. The larger angle is 3 degrees less than twice the measure of the smaller angle. Find the measure of each angle.
Answer:
First angle would be 31°, second angle would be 59°
Step-by-step explanation:
You can use the equation 90° = a + (2a - 3°), where a is the measure of your smaller angle.
simplify:
90° = 3a - 3°
93° = 3a
31° = a
let your second angle equal (2a - 3°)
(2(31°) - 3°) = 59°
I need help with this please I don't understand my kids work
PLEASE help quick it is almost due
Answer:
D.
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
k^13/k^5 * k^17/k^11
Answer:
k^14
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) can be done as,
[tex]\dfrac{k^{13}}{k^5} \times \dfrac{k^{17}}{k^{11}}\\\\= k^{(13-5)} \times k^{(17-11)}\\\\= k^8 \times k^6\\\\= k^{(8+6)}\\\\=k^{14}[/tex]
Hence, The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.
Learn more about Expression:
https://brainly.com/question/13947055
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Last one for today. Please help
Answer:
D) (-2,0)
Step-by-step explanation:
(-2,0)
(-2-2)²+(y+3)²=25
16+9=25
25=25
solve the simultaneous equations y=3x+2 and y=x+6
Answer:
x=2
Step-by-step explanation:
y=3x+2
y=x+6
Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.
Therefore, substitute into both equations as shown:
3x+2=x+6
3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)
2x=4
2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)
x=2.
The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8.
What is the equation?More than one variable may be present inside a linear equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
y=3x+2 and y=x+6
Compare both values,
3x + 2 = x + 6
3x - x = 6 - 2
x = 4/2 = 2
And, y = 2 + 6 = 8
Hence "The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8".
For more about the equation,
brainly.com/question/10413253
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The graph below shows the distance a car can travel, y, using x gallons of gasoline.
Part A
How many miles per gallon does the car get ?
Part B
How many miles can the car travel using 9 gallons of gasoline ?
Answer:
Part A= 25 miles Part B= 225 miles
Step-by-step explanation:
The car uses 2 gallons to travel 50 miles so 1 gallon is equal to 25 miles.
HELP I WILL GIVE BRAINLIEST IF SOMEONE HELPS ME WITH THESE 2 PROBLEMS!!
Answer:
two 2.2 boxes, and one 1.6 box
Step-by-step explanation:
PLZZZZ GOVE BRAINLIEST!!!
what is a decimal that is equivalent to the fraction 9/100
Answer:
0.09
Step-by-step explanation:
9/100 as a decimal is 0.09.
Answer:
0.09!
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.09 is your answer!
Hope this helped.
Signed ~Jaz~
Which of the following is a true statement?
A. |5| < |–8|
B. |5| > |–8|
C. |–8| < |5|
D. |5| < |0|
Answer:
A. |5| < |–8| is the correct option.
HURRY PLEASE I NEED THIS NOW
Independent Practice
Use <, =, > to compare.
|| 19 || || − 19 ||
A.
|19 | = |–19|
B.
|19 | < |–19|
C.
|19 | > |–19|
Answer:
A.
|19 | = |–19|
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Hurry please. Also thank you in advance
Answer:
The answer is C [tex]\sqrt{97}[/tex].
Step-by-step explanation:
Use the pythagorean theorem. [tex]a^{2} + b^{2} = c^{2}[/tex]. With a and b corresponding to the legs of the triangle.
ANSWER ASAP PLEASE
look at the photo
Step-by-step explanation:
Area of trapezium = 1/2(a+b)h
= 1/2(10+24)12
= 1/2×34×12
= 204 square units
a boy walks meter in 6 min. how many meter can he walk in 1 hour
Answer:
mama mo blue
Step-by-step explanation:
Answer:
10 meters
Step-by-step explanation:
1hr(60min)
60÷6=10
Solve and
graph this
inequality.
-3x>15
Answer:
x > -5
Step-by-step explanation:
-3x > 15
divide by -3
x > -5
Answer: x<-5
Step-by-step explanation:
First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot. Hope this helps!
How is the graph of g(x) = -x2-2 related to the graph of f(x)= x??
Answer:
Step-by-step explanation:
If [tex]f(x) = x[/tex]. then you would use the x in that equation to plug in for the x in the equation [tex]g(x)=[/tex] [tex]-x^{2} - 2[/tex]