Graph 4x + 7y ≤ 28 in the first quadrant of the coordinate plane.
Answer:
StGraph the line using the slope and y-intercept, or two points.
Slope: −47
y-intercept: (0,−4)
x y
−7 0
0 −4
Step-by-step explanation:
What is the remainder when you divide 2x3 4x2 - x 3 by x 2?.
the answer is 5 hope this helps lol
If DEF=GJH, find each missing measure
a) DF =
d) F =
b) JH =
|||
e) m&G =
c) GJ =
f) m =
I need help it’s due in 20 minutes:(
Congruent triangles have equal corresponding sides and angles.
The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]The given parameters are:
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]
[tex]\mathbf{EF = 14m}[/tex]
[tex]\mathbf{D E = 19m}[/tex]
[tex]\mathbf{GH = 16m}[/tex]
[tex]\mathbf{\angle D = 34^o}[/tex]
[tex]\mathbf{\angle H = 105^o}[/tex]
[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.
So, we have:
[tex]\mathbf{DF = GH}[/tex]
This gives
[tex]\mathbf{DF = 16m}[/tex]
Also, we have:
[tex]\mathbf{JH = EF}[/tex]
This gives
[tex]\mathbf{JH = 14m}[/tex]
Also, we have:
[tex]\mathbf{GJ = DE}[/tex]
This gives
[tex]\mathbf{GJ = 19m}[/tex]
The following angles are also congruent
[tex]\mathbf{\angle F = \angle H}[/tex]
This gives
[tex]\mathbf{\angle F = 105^o}[/tex]
Also, we have:
[tex]\mathbf{\angle G = \angle D}[/tex]
This gives
[tex]\mathbf{\angle G = 34^o}[/tex]
The measure of angle J is then calculated using
[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]
This gives
[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]
[tex]\mathbf{\angle J + 139= 180^o}[/tex]
Subtract 139 from both sides
[tex]\mathbf{\angle J = 41^o}[/tex]
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What is the height, x, of the equilateral triangle?
Answer:
D: [tex]4\sqrt3[/tex]
Step-by-step explanation:
Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]
100 POINTS IF U GET THIS RIGHT!
Answer:
y = 2x - (3/2)
standard equation is
y = mx + c
c is the y intercept
m is the gradient/slope
so
2 is the slope (m)
Answer:
Slope = 2
Step-by-step explanation:
Our equation: y = 2x - 3/2
=> Given equation: y = mx + b
Now, let's compare:
=> y = mx + b = y = 2x - 3/2
=> We can tell that the slope is m, which is 2.
Hoped this helped.
You estimate the weight of an apple to be 6 ounces. The actual weight of an apple is 4 ounces. What is your percent error?
help
Answer:
150%
Step-by-step explanation:
I hope this helps
Please Answer! ASAP!
Answer:
B
Step-by-step explanation:
hope this helps
(?) solve the following. please show your steps !!
a. 100 – 8 × √25 + 3?
b. 100 – (11 – 4)² × 2?
Use PEDMAS for order of operation:
a: 100 – 8 × √25 + 3
First solve the root:
100 – 8 × 5 + 3
Next multiply:
100 - 40 + 3
Now solve from left to right:
100-40 = 60
60+3 = 63
Answer: 63
b. 100 – (11 – 4)² × 2
First parentheses:
100 - 7^2 x 2
Next the power:
100 - 49 x 2
Multiplication:
100 - 98 = 2
Answer: 2
Will give brainliest
Answer:
I hope this helps.
Step-by-step explanation:
The quotient of 5 divided by q minus the product of 5 and q.
Answer: (5/q-5q)
The product of 5 and the difference of q minus 5.
Answer: (5(q-5)
The quotient of q divided by 5 plus the product of 5 and q.
Answer: (q/5+5q)
The sum of 5 and the product of 3 times q.
Answer: (5+3q)
What is (-1/2) in mathematics
Answer: One half is the irreducible fraction resulting from dividing one by two (2) or the fraction ... One half often appears in mathematical equations, recipes, measurements
Step-by-step explanation: For example, if you wish to halve the fraction 5/7, write “* 2” beside the denominator “7.” There is no operation to perform to the numerator. Multiply the denominator by 2 to halve the fraction. Using the same example, 7 * 2 = 14. This means that half of 5/7 is 5/14.
what is 400x800 do any one knows
Answer:
Step-by-step explanation:
320000 is your answer
10;11;15;15;17;22;11 what is the mode of this data?
Answer:
11, 15
Step-by-step explanation:
They both occur two times so they are tied for mode so both numbers is the answer
- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?
(a) One possibility is 8.45
Rounded to the nearest integer = 8
Rounded to the nearest tenth = 8.5
And rounding this to the nearest integer = 9
(b) The possible numbers are 8.45 to 8.49, inclusively
Answer:
Table is below in explantation
Not proportional
yes, linear
Step-by-step explanation:
We substitute and solve:
TABLE:
X --> Y
0 --> -2 (0-2 = -2)
1 --> -1
2 --> 0
Yes, it is linear, the slope is 1 and is written in slope - intercept form
No, not proportional, the y - intercept is (0, -2) not (0,0)
What's the best first step in solving-4 + 2/5 > 5/10
Answer:
B
Step-by-step explanation:
There are 2 operations happening on the left side to x.
1. x is being multiplied by -4.
2. 2/5 is being added to -4x.
If you had a number for x, and you wanted to evaluate the left side, first, you would multiply the value of x by -4. Then you would add 2/5.
To solve an equation or an inequality, you do the opposite operation in the opposite order.
Since the second operation was add 2/5, to solve, you start by doing the opposite of the second operation. That means you subtract 2/5 from both sides.
Answer: B
A company rents out 16 food booths and 20 game booths at the county fair. The fee for a food booth is $200 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
20(95+6d)+16(200+9d)
Step-by-step explanation:
I'm not so sure about this question since I'm also learning about algebra right now.
But we know there's 20 game booths that costs 95$ and 6$ for d days
if so first we need to know how much 1 booth cost, which is $95 plus $6 per day and as an expression: 95+6d. Then there's 20 booths so we multiply it, and we need to add parentheses according to the priority rule. So it should be 20(95+6d)?
then food booths are 16(200+9d)
then we add them so
20(95+6d)+16(200+9d)
What is an eigenvalue.
Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).
Step-by-step explanation:
3.53 divided by 51
24.2 divided by 42
9.13 divided by 23
79.2 divided by 39
Answer:
1. 0.0692156863
2. 0.5761904762
3. 0.3969565217
4. 2.030769231
Step-by-step explanation:
the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base
Answer:
the height = 5cm
the base = 2cm
Step-by-step explanation:
An equation is shown.
3x+4/5=7-2x
What is the solution to the equation
x= ?
Answer:
1.24
Step-by-step explanation:
start by multiplying each term by the LCM which is 5
then you ahead and simply the equation
I was gone for 2 days in school and have no idea how to do this, anyone mind helping.
On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
Number of hours that I used to work = 1 hour
My hourly pay = $3t - 3
My total pay at the end of the day = Number of hours x hourly pay
My total pay at the end of the day = 1 (3t - 3)
My total pay at the end of the day = $ 3t - 3
Number of hours that Andrew used to work = 3t -5 hour
Andrew's hourly pay = $2
Andrew's total pay at the end of the day = Number of hours x hourly pay
Andrew's total pay at the end of the day = 2 (3t - 5)
Andrew's total pay at the end of the day = $ 6t - 10
At the end of the day, I earned $2 more than Andrew
My total pay = Andrew's total pay + 2
3t - 3 = 6t - 10 + 2
6t - 3t = -3 +10 - 2
3t = 5
t = 5/3
[tex]t = 1\frac{2}{3}[/tex]
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
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15/32×16/27 The / stands for a fraction i would just like help please :)
Answer:
(24 × 3 × 5) / (25 × 33) =
((24 × 3 × 5) ÷ (24 × 3)) / ((25 × 33) ÷ (24 × 3)) =
(24 ÷ 24 × 3 ÷ 3 × 5)/(25 ÷ 24 × 33 ÷ 3) =
(2(4 - 4) × 1 × 5)/(2(5 - 4) × 3(3 - 1)) =
(20 × 1 × 5)/(2 × 32) =
(1 × 1 × 5)/(2 × 32) =
5/(2 × 32) =
5/(2 × 9) =
5/18
Mary places a 15-foot ladder against her house. The base of the ladder is 3 feet from her house How high up to the nearest tenth of a foot, the ladder reach on Mary's house?
taking math test plz help
Answer:
Let the base of the 15ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12
2
+
x
2
=
15
2
⇒
x
2
=
15
2
−
12
2
=
81
⇒
x
=
√
81
=
9
ft
The base of the 15-foot ladder should be set back from the wall by x feet in order for it to precisely reach the top of a 12-foot wall.
What is nearest tenth?The decimal number can also be rounded to the nearest tenths place value. The first number that appears after the decimal point is the tenth place value. Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value.
The tenths digit stays the same if it is 4 or less. The hundredths place digit, 8, is greater than or equal to 5, so 3.58 can be rounded to 3.6. Due to the fact that the digit in the hundredths place, 2, is less than 5, 3.32 would be rounded to 3.3.
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the point of concurrency of the angle bisectors of a triangle
Answer: The incenter
Step-by-step explanation:
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle. In other words, the point where three angle bisectors of the angles of the triangle meet are known as the incenter.
(X+9)(x-2)-9x-6 is equivalent to?
Answer:
[tex]x^{2}[/tex] - 2x - 24
Step-by-step explanation:
(x + 9)(x - 2) - 9x - 6
[tex]x^{2}[/tex] - 2x + 9x - 18 - 9x - 6 Multiply.
[tex]x^{2}[/tex] - 2x - 24 Combine the like terms.
Can you please help me?
I need some help please. I don't understand this. :)
Answer:
i dont know sorry
Step-by-step explanation:
pls ask someone else thanks have a nice day
Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip
Answer:
$31.92
Step-by-step explanation:
28.50 x .12 = 3.42
3.42 + 28.50 = $31.92
The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.
Let’s set up a proportion. We can substitute the amounts we know into the proportion.
Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.
Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.
Add: 8x2 + 7xy – 6y2 , 4x2 – 3xy + 2y2 and -4x2 + xy – y2
The given terms in the question can be added by collecting like terms. So that the addition is:
8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]
The addition of terms involve adding like terms so as to simplify the final expression.
Thus considering the terms in the given question, the addition would give:
(8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex]) + (4
open the brackets and collect like terms to have;
8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex] + 4
8[tex]x^{2}[/tex] + 4
8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]
Therefore on adding the given terms, the expression derived as answer is:
8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]
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Write an expression in simplest form for the perimeter of each figure.
Answer:
4*4j +2h*2 = 16j + 4h