Answer:
Equation #1:
[tex]y = 3x + 8[/tex]
Equation #2:
[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]
Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.
Solve for x.
z=(x-8)k
Answer:
z/k + 8 = x
Step-by-step explanation:
z=(x-8)k
Divide both sides by k
z/k = x - 8
Add 8 to both sides
z/k + 8 = x
a right triangle has a leg length of 14 yards and a hypotenuse of length 43 yards. Find the length of the other leg. Provide an answer accurate to the nearest tenth
By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.
If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:
A^2 + B^2 = H^2
Here we know that:
A = 14 yd
H = 43 yd
And we want to find the other leg, then we can replace that in the equation to get:
(14yd)^2 + B^2 = (43yd)^2
B = √( (43yd)^2 - (14yd)^2) = 40.7 yd
So the other leg length is 40.7 yards.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answer:
x > - 1
Step-by-step explanation:
- 10 < x - 9 ( add 9 to both sides )
- 1 < x , therefore
x > - 1
Answer:
x > -1
Step-by-step explanation:
why:
-10 < x-9 for exemple 2< 3
x-9 > -10 3 > 2
just add 9 to both sides
x-9 +9 > -10 +9
x > -1
meth2
x-9 > -10
x > -10 +9 left to right
x> -1
If you buy a stock originally valued at $2,500 then sell that stock later at $2,550 what is the percent of increase in the stock?
Answer:
2550-2500 = 5025% percent increase.
Step-by-step explanation:
Answer: 2%
Step-by-step explanation:
2500 X 1.02 = 2,550
Solve for x in the hanger below
Answer:
x=3
Step-by-step explanation:
3x + y =4 in standard form
Answer:
3x+y=4
Explanation:
Standard form is Ax + By = C
Which equation is equivalent to
A=1/2bh?
A) H=2A/b
B) H= A/2b
C) H= A - 1/2b
D) H= 2A-b
Answer:
a
Step-by-step explanation:
Please help me!!!!!
Answer:
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
[tex]\frac{-10}{25}[/tex] = a , that is
a = - [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form
Someone help pls and explain it if you can pls
the answer is: y = 3x + 1
P/s: i can't see the picture clearly but the answer is not A or C
ok done. Thank to me :>
30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?
Answer:
30 parks
Step-by-step explanation:
9÷0.3=30 parks
NO LINKS HELP (question is in picture)
Step-by-step explanation:
area of ∆ is 10in².
hope this helps you.
If f(x)= x^2 - x+ 1 and f (-1), then the result is
Answer:
3
Step-by-step explanation:
To solve f(-1), entails to replace x by -1 in the function
f(-1)= (-1)^2 - (-1)+ 1
= 1 + 1 + 1
= 3
Use the algebra tiles to help you solve the equation. 4x-2=10
Answer:
The solution to this equation is x=3
Step-by-step explanation:
y=2x + 4
y = 2(x + 2)
what is x
Answer:
I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well
Step-by-step explanation:
1.)
y=2x+4
-subtract 4 on both sides-
y-4=2x
-divide 2 on both sides-
x=y-4/2
2.)
y=2(x+2)
-distribute the 2-
y=2x+2
-subtract 2 on both sides-
y-2=2x
-divide 2 on both sides-
x=y-2/4
I dont know exactly if this is correct, but i hope it helps! :)
Please help!
5^3 x 5^-7
Answer: 0.0016
Step-by-step explanation:
5^3 = 125
5^-7 = 0.0000128
125 * 0.0000128 = 0.0016
Use the original price and the markdown to find the retail price.
Original price: $80; Markdown: 16%
Answer:
its b
Step-by-step explanation:
Answer:
The answer would be $67.2.
Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2
One electrician charges his customers a $60 service fee plus $35 per hour.
Another electrician charges her customers $65 per hour. How many hours must the
electricians work in order for the total cost of an eelectrician to be the same? What is
the total cost?
Answer:
2 hours; $130
Step-by-step explanation:
We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:
65 * x = 60 + 35* x
30 * x = 60
x = 2 hours
The cost will be the same at two hours, and plugging it in, we can get 65*2=130.
(9x-3)+(5x+5)+2(7x-15)=168 what is the value for x
Answer:
x = 3Step-by-step explanation:
(9x - 3) + (5x + 5) + 2(7x - 15) = 168=> 9x - 3 + 5x + 5 + 14x - 30 = 168=> 9x + 5x + 14x - 28 = 168=> 28x = 168 + 28=> 28x = 196=> x = 3Conclusion:
Therefore:
x = 3Hoped this helped.
[tex]GeniusUser[/tex]
Solve 2(x - 5) + 11 = 17
Show how you got your answer(s).
Are either of your answer extraneous yes or no. Justify your response
Answer:
x=8 and is not extraneous
Step-by-step explanation:
2(x-5)+11=17
2x-10+11=17
2x+1=17
2x=17-1
2x=16
x=8
extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation
2(8-5)+11=17
2(3)+11=17
6+11=17
17=17
since it works in the orignial equation it is not extraneous
The solution to the equation 2(x - 5) + 11 = 17 is x = 8
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
2(x - 5) + 11 = 17
When the like terms are evaluated, we have
2(x - 5) = 6
Divide through the equation by 2
x - 5 = 3
So, we have
x = 3 + 5
Evaluate
x = 8
Hence, the solution to the equation is x = 8
Read more about equation at
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Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? (5 points)
a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.
b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.
c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.
d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.
Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
Step-by-step explanation: Let
x------> the number of nickels in the box
y------->the number of dimes in the box
we know that
so
Multiply by both sides
-----> inequality that represent the situation
The solution of the inequality is the shaded area above the dashed line for positive values of x and y
The equation of the dashed line is
therefore
the answer is
Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
One summer, an ice cream truck driver sold 381 Popsicles and 76 ice creams. How many treats did the driver sell in all?
Work out the area of triangle ABC.
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²
= 20 - 18 = 2 ( take square root of both sides )
BD = [tex]\sqrt{2}[/tex]
Then
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²
Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.
Answer:
24.2% decrease
Step-by-step explanation:
The distance Javi must ride changed by ...
1.25 -1.65 = -0.40 . . . miles
The ratio of that to the original distance is ...
-0.40/1.65 × 100% ≈ -24.2%
The distance decreased by 24.2%.
Select the correct answer.
A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
A.
$1.80
B.
$0.85
C.
$0.60
D.
$0.40
E.
$0.30
Answer:
C.$0.60
hope this help!!!!!!!!!!!!!!!!!!!!!!
4x+2y=7 y=-2x+3.5 how many solutions does this problem have? No solution, one solution, or infinite solutions
Answer: many solutions
Step-by-step explanation:
The Thomas family budgeted 8% of their annual disposable income of $32,725 on clothes. Vincent was allowed 22% of the amount budgeted. How much can Vincent spend annually on clothes?
A. $575.96
B. $2,618.00
C. $599.96
D. $340.88
Answer:
so first you add something and then subtract and then divide then you er butf then youcan see toplod ej
Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Step-by-step explanation:
this creates 2 similar triangles.
that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
her shadow is 23.05 - 18.9 = 4.15 m long.
the factor between the shadow lengths is then
4.15 × f = 23.05
f = 23.05 / 4.15 = 5.554216867...
the same factor now applies to the relation of the heights :
1.45 × 5.554216867... = 8.053614458... m
rounded the tree is 8.05 m tall.
So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look for the slope using rise over run?
Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:
[tex]m=\frac{rise}{run}[/tex]
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answer:
(-4,2)
Step-by-step explanation:
See attachment
To practice for a competition, Jack swam 740 meters in the pool each day for 3 weeks. How many kilometers did Jack swim in those 3 weeks?
1 m = 0.001 km
P.S pls help me
Answer:
10080.000
Hope this helps you! Happy holidays
Answer: 15.54 Km
Step-by-step explanation:
740*21 = 15,540 = 15.54 Km
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