4x – 2y=7
3x – 3y = 15
we want to keep y by eliminating the x
so we will Multiply the top equation by 3 and the bottom equation by 4.
we will get
12x - 6y = 21
12x - 12y = 60
we subtract the equations
12x - 6y - 12x - (-12y) = 21 - 60
6y = -39 and so on
Does the expression x^3-1/x^2-1 simplify to x?
Answer:
no it doesn't
Step-by-step explanation:
[tex] \frac{ {x}^{3} - 1 }{ {x}^{2} - 1 } = \frac{(x - 1)( {x}^{2} + x + 1) }{(x - 1)(x + 1)} \\ [/tex]
( x - 1 )s simplifies
[tex] \frac{ {x}^{2} + x + 1 }{x + 1} \\ [/tex]
_________________________________
Thus ; the expression doesn't simplify to x.
Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the angle from 35 feet away from the base of the tree and gets an angle of 62°. Tamara's eye level is 5.5 feet above the ground. How tall is the tree?
Answer:
71.32 feet
Step-by-step explanation:
We set up a trigonometric function to get height of tree
Distance ,x = 35 feet away from tree base
Angle = 62⁰ at eye level
Y = tan(angle) * x
= Y = tan(62⁰) x 35
Y = 1.881 x 35
Y = 65.82 feet
We add Tamara's height to the total height of the tree
= 65.82feet + 5.5 feet
= 71.32 feet is the height of the tree
What is the length rounded to the nearest whole number? (length = 25.15 ft) *
Answer:
25
Step-by-step explanation:
What is the square of 9 is less than 100. True or false?
Square of 9 is 81 and it is less than 100
The length of a rectangular room is 7 feet longer than twice the width. If the room's perimeter is 146 feet what are the room's dimensions?
Width - 22 ft: length - 51 ft
Width - 33 ft: length - 40 ft
Width - 27 ft: length - 61 ft
Width - 44 ft: length - 102 ft
Answer:
width- 22ft : length-51 ft
Step-by-step explanation:
if you add 22+22 its 44 +7 it will give you 51.
that is twice the width+ the 7 feet
The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.
What is the perimeter of the rectangle?The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangular room is 7 feet longer than twice the width. Then we have
L = 2W + 7
If the room's perimeter is 146 feet. Then the dimension of the rectangle will be
P = 2(L + W)
146 = 2(2W + 7 + W)
73 = 3W + 7
3W = 66
W = 22 feet
Then the length of the rectangle will be
L = 2 x 22 + 7
L = 44 + 7
L = 51 feet
The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ2
To show that the triangles are congruent, triangle ABC could be transformed by
which movement(s) to fit exactly on triangle XYZ?
Answer:
D a reflection over the x axis by a reflection over the y axis
Step-by-step explanation: if u put the triangle on the button left up then move it to the upper right it’s congruent.
Answer: A rotation of 270° clockwise about the origin followed by translation left 1 and up 10
Step-by-step explanation:
6 2/9 ÷ (-2 2/3)
please help
- 2 1/3
Step-by-step explanation:Hi there !
6 2/9 : ( - 2 2/3) =
= (6*9+2)/9 : -(2*3+2)/3
= 56/9 : - 8/3
= 56/9 × - 3/8
simplify 56 - 8 ; 9 - 3
= 7/3 × - 1/1
= - 7/3
= - 2 1/3
Good luck !
This sounds dum but I don't know what the line on top is for. (step-by-step explanation would be appreciated)
Answer:
C: 5/11
Step-by-step explanation:
The top line over the numbers usually mean the numbers are recurring (occurring again and again)
So 0.45 with the dash over the 45 means 0.454545454545... (goes forever, hence why we use the dash)
To solve you convert each option to a decimal and find one that has 0.45 recurring.
A: 4/5 =0.8
B: 5/9 = 0.55...
C: 5/11 = 0.45...
D: 4/9 = 0.44...
Hence, our answer is C.
Answer: It means that the numbers the bar is over repeats. Answer is C
Step-by-step explanation:
For example:
Example 1: [tex]0.123 \overline {4}[/tex] → The bar is only over the number 4 so only the number 4 repeats. [tex]0.123 \overline {4} = 0.123444444444444444444444...[/tex] with the number 4 repeating forever.
Example 2: [tex]0.12 \overline {34}[/tex] → This time the bar is over the 3 and the 4, so 34 and 4 repeat. [tex]0.12 \overline {34} = 0.12343434343434...[/tex]
Example 3: [tex]0.1 \overline {234}[/tex] = 0.1234234234234234234...
Example 4: [tex]0. \overline {1234}[/tex] = 0.123412341234123412341234...\
To solve your problem, it will be easiest to use a calculator and test each answer.
Choice A: [tex]\frac{4}{5} = .8 \neq . \overline{45}[/tex]
Choice B: [tex]\frac{5}{9} = 0.55555556 \neq 0. \overline{45}[/tex]
Choice C: [tex]\frac{5}{11} = 0.454545454545... = 0. \overline {45}[/tex]
Choice D: [tex]\frac{4}{9} = .44444444444... = 0. \overline {4} \neq 0. \overline {45}[/tex]
The Correct Answer is Choice C
xd xd xd xd xd xd xd xd
Answer:
8576×7=60032
Step-by-step explanation:
Answer:
XDDDDDDDD
Step-by-step explanation:
Is (-3,2,5) a solution to the following system of equations? *
x – 3y + z = 21
3x + 2y – 5z = -30
2x - 5y + 2z = -6
Kristen has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Kristen just saw a sign that said the park is 10 miles away, so the drive is almost over. If Kristen's father drives 50 miles per hour, how many more minutes will it take to reach the park?
Answer: It will take 12 minutes to the reach the park.
Step-by-step explanation:
We know that, [tex]\text{Speed }=\dfrac{\text{distance}}{\text{time}}[/tex]
[tex]\Rightarrow\ \text{Time}=\dfrac{\text{Distance}}{ \text{Speed}}[/tex]
Given: Speed = 50 miles per hour
Distance needs to travel = 10 miles
Now, Time required to reach the park = [tex]\dfrac{10}{50}=\dfrac{1}{5}\text{ hour}[/tex]
Since 1 hour = 60 minutes
So, [tex]\dfrac15\text{ hour}=\dfrac15\times 60=12\text{ minutes}[/tex]
Hence, it will take 12 minutes to the reach the park.
Someone help me please.
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Draw and label the dimensions of a scale drawing of Elena's bedroom, using a scale of 1 to 50. Elena's bedroom door is 0.8 m wide. How wide should the door be on the scale drawing? Explain how you know. Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed? How would I draw this out
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Actual length of rectangular bedroom = 5m
Actual width of rectangular bedroom = 3m
Scale = 1 to 50
Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm
Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm
If width of door = 0.8m wide
Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm
Bed measures : 4cm by 3cm on scale drawing ;
Actual bed dimension:
4cm * 50 = 200cm ; 200/ 100 = 2m
3cm * 50 = 150cm ; 150 / 100 = 1.5m
A metal worker has 57 grams of an alloy that is 37% gold. She also has a large supply of an alloy that is 17% gold. How many grams of the 17% gold alloy does she need to add to the 37% gold alloy to obtain an alloy that is 25% gold? Write your answer as a whole number or as a decimal rounded to the nearest tenth.
Answer:
85.5 grams of 17% gold alloy is added.
Step-by-step explanation:
A metal worker has 57 grams of an alloy that is 37% gold.
And let x grams of an alloy which is 17% gold.
Let's add them to get 25% of (x+57)grams of alloy.
So, we can set up equation as
57(37%) +x(17%) =(x+57)(25%)
Simplify and solve the equation for x.
21.09+0.17 x= 0.25 x+14.25
Subtract both sides 0.25 x
21.09-0.08 x =14.25
Subtract both sides 19.95
-0.08 x=-6.84
Divide both sides by -0.08
x=85.5 grams
Find the slope of the line between (1995, 5.4) and (2014, 11.8)
Answer:
[tex](19,6.4)[/tex]
Step-by-step explanation:
[tex](x^2-x^1)[/tex],[tex](y^2-y^1)[/tex]
so it would look like
[tex](2014-1995)[/tex],[tex](11.8-5.4)[/tex]
then
[tex](19)[/tex],[tex](6.4)[/tex]
or
[tex](19,6.4)[/tex]
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x dogs.
An expression is (?) dollars.
The equation with (x) in dogs and (y) in dollars is [tex]y=195x[/tex]
First, you must set up your equation.
[tex]y=80x+65x+50x[/tex]
Then, you must add like terms to simplify the equation
[tex]y=195x[/tex]
Answer:y=195x
Step-by-step explanation:
A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes.
What does t represent?
What does a(t) represent?
What information will a(5.5) give?
Answer:
t represents the time in minutes since the balloon started descending.
a(t) represents the altitude of the balloon at t minutes.
a(5.5) gives the altitude at 5.5 minutes.
Answer:
What does t represent?
✔ time after the balloon begins to descend
What does a(t) represent?
✔ altitude of the balloon
What information will a(5.5) give?
✔ altitude of the balloon after 5.5 minutes
Step-by-step explanation:
edge 2021
plz make me brainliest
y = 5x - 2 if x=2 what does y=?
Answer:
y=8
Step-by-step explanation:
y= 5(2) -2
y= 10-2
y=8
Answer:
y=8
Step-by-step explanation:
i dont have a step by step
Please help with finding how many solutions a problem has.
1- Finding angle measures between intersecting lines
NOTE: Angles not necessarily drawn to scale
x = ??
Choose an equivalent expression for 123 • 129 • 124 • 122.
Answer:
Like what type of expression? And Is it for all the numbers at once, or is it each number separately?
Step-by-step explanation:
What is 8×∙(−7)∙3 = Because I need it right now for my HOMEWORK, so if you know the answer please tell me what it is.
Answer:
-168
Step-by-step explanation:
8 × -7 × 3
-56 × 3
-168
What is the slope of the line shown in the graph?
1. 4/5
2. 5/7
3. 6/7
4. 5/6
The slope of the line is B. 5/7
pls help! see multiple choice. will give brainliest and 20 points
Given B(17,5), C(11, -3), D-1, 2), and
E(x, -6), find the value of x so that BC || DE.
Answer:
[tex]x=-7[/tex]
Step-by-step explanation:
Remember that:
Two lines are parallel if their slopes are the same.Two lines are perpendicular if their slopes are negative reciprocals.And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.We want to find the value of x such that [tex]\overline{BC}\parallel\overline{DE}[/tex].
Therefore, the slopes of BC and DE must be equivalent.
So, let's find the slope of BC first.
BC)
We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:
[tex]\displaystyle m=\frac{-3-5}{11-17}[/tex]
Subtract:
[tex]m=-8/-6=4/3[/tex]
So, the slope of BC is 4/3.
DE)
Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:
[tex]\displaystyle m=\frac{-6-2}{x-(-1)}[/tex]
We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:
[tex]\displaystyle \frac{4}{3}=\frac{-6-2}{x-(-1)}[/tex]
Solve for x. Simplify the right:
[tex]\displaystyle \frac{4}{3}=\frac{-8}{x+1}[/tex]
Cross multiply:
[tex]4(x+1)=-8(3)[/tex]
Multiply on the right:
[tex]4(x+1)=-24[/tex]
Divide both sides by 4:
[tex]x+1=-6[/tex]
Subtract 1 from both sides:
[tex]x=-7[/tex]
So, the value of x is -7.
And we're done!
i need help in finding the sum for (16 − x2) + (−14x2 + 7x5 − 17x4 + 9) plz help :( im rlly bad at math
Answer:
-50
Step-by-step explanation:
For each 12 mm of coloured fabric Sarah uses to make her curtains, she also uses 2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
Answer:
3:5 mm
Step-by-step explanation:
2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah
Plz help!
Solve... 4x + 30 = -6(x - 2)
I got -4.2 but it's wrong!
Answer: x= -9/5 or x = -1.8
Step-by-step explanation:
4x + 30 = -6(x - 2) First apply the distributive property on the left side
4x + 30 = -6x + 12 Add 6x to both sides
+6x +6x
10x + 30 = 12 Subtract 30 from both sides
-30 -30
10x = -18 Divide both sides by 10
x = -9/5 or x = -1.8
Answer:
the answer is -1.8 if you want to use the decimal and -9/5 if you want to use the fraction
Step-by-step explanation:
4x + 30 = -6(x - 2)
4x+30 = -6x + 12
4x + 6x = 12 - 30
10x = -18
divide both side by 10
x = -9/5 or -1 4/5 or -1.8
( also not trying to gatekeep so i wanna say that i got this answer from an app named photomath. i scanned the question in the camera and it pulled the answer. hoped it helped love!)
Jason bought a TV that was $1099.99. He made a
down payment of 199.99 and wants to pay the rest in
9 equal monthly payments. How much would he pay
each month?
Please help me and explain the answer is the answer
Answer: C
Step-by-step explanation: