Answers
Step-by-step explanation:
The area of a parallelogram is b * h, where b is the base and h is the height. We'll call the height x and the base x + 4, and we know that this is equal to 45.
x (x + 4) = 45
x² + 4x = 45
x² + 4x - 45 = 0
(x + 5)(x - 4) = 0
x = -5, 4 → x = 4 (no negative sides)
Therefore, base is 8 and height is 4. Hope this helps!
Related Questions
Which list orders the numbers from least to greatest?
3,-25, 12, -23.1
13
Answers
Answer:
-25, -23.1, 3, 12, 13
Answer:
-25, -23.1, 3, 12, 13
Step-by-step explanation:
What is the value of X in the figure?
Answers
Vertically opposite angles are equal to each other
8x+2=154
Move two to the other side as a negative
8x= 152
Divide both sides by eight to get the value of x
x is equal to 19
Mary invests £12000 into a savings account. The account pays 1.5% compound interest per year.
Work out the value of her investment after two years.
Answers
Answer:
£12,362.70
Step-by-step explanation:
I used the compound interest formula to work this out.
£12,000 (original amount) x 1.015²
1.015 = 1.5% --- squared because the investment was 2 years.
Hope this helps :D
find the area of the circle
Answers
Answer:
A =153.86 m^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 7 and we can approximate pi by 3.14
A = 3.14 *7^2
A =153.86 m^2
a sweater is marked down 15% off the original price. if the original price was $49.00 what is the sale price of the sweater before sales tax
Answers
Answer:
41.65
Step-by-step explanation:
"None for now"
Answer:
41.65
Step-by-step explanation:
100% - 15% = 85%
85% of 49 is 41.65 or 0.85x49=41.65
What are the solutions to 2x^2+7y=4 ? Select all that apply.
1/2
4
-1/2
-4
7
-7
Answers
Answer:
x = -1/2 , 4
Step-by-step explanation:
1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x+1=0
x−4=0
2) Set the first factor equal to 0.
2x+1=0
3) Subtract 1 from both sides of the equation.
2x=−1
4) Divide each term by 2 and simplify.
2x/2= −1/2
5) Cancel the common factor of 2.
x= −1/2
6) Move the negative in front of the fraction.
x = −1/2
7) Set the next factor equal to 0 and solve.
x=4
8) The final solution is all the values that make
(2x+1)(x−4) = 0 true.
9) x = −1/2 , 4
This is on my math book. Jada's neighbor said, "my age is the difference between twice my age in 4 years and twice my age 4 years ago." How old is Jada's neighbor.
Answers
Answer:
Jada’s neighbor is 16 years of age
Step-by-step explanation:
In this question, we are interested in calculating the age of Jada’s neighbor, given the information in the question.
Let the present age of the neighbor be x years
Her age in 4 years will be x + 4 years old
Her age 4 years ago was x -4 years old
Now, the difference between twice her age in 4 years minus twice her age 4 years ago is her present age.
mathematically that means;
2(x+ 4) - 2(x -4 ) = x
2x + 8 - 2x +8 = x
16-0 = x
x = 16 years
y = 4x - 3
y= 2x + 13
Answers
Answer:
x = 9, y = 29 or (8,29)
Step-by-step explanation:
Set the equations equal to each other because they both equal y:
4x - 3 = 2x + 13
Combine like terms:
2x = 16
Divide by 2:
x = 8
Plug 8 into the x for both equations and see if the y is the same:
y = 4(8) - 3 = 32 - 3 = 29
y = 2(8) + 13 = 16 + 13 = 29
x =
y =
m ∠ H =
m ∠ G =
Answers
Answer:
x=53
y=26
H=106
G=93
Step-by-step explanation:
By the inscribed quadrilateral conjecture:
[tex]2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93[/tex]
Hope this helps!
answer quick for brainliest!
Answers
Answer:
b
Step-by-step explanation:
it is the only linar one
Step-by-step explanation: B,C,D are not linear equations
Xavier, Thomas, and Mei had 650 marbles. Thomas had 3 times as many marbles as Mei. Mei had 50 fewer marbles than Xavier. How many marbles did Xavier and Mei have altogether? *
Answers
Answer: 230 Marbles
Step-by-step explanation:
Let Xavier marbles be x
Let Thomas marbles be y
Let Mei marbles be z
Xavier, Thomas, and Mei had 650 marbles.
x + y + z = 650
Thomas had 3 times as many marbles as Mei.
y = 3 × z
y = 3z
Mei had 50 fewer marbles than Xavier.
x = z - 50
We can plug all the equation gotten back into the first equation
x + y + z = 650
Since y = 3z and x = z - 50
x + y + z = 650
(z - 50) + 3z + z = 650
z - 50 + 3z + z = 650
5z - 50 = 650
5z = 650 + 50
5z = 700
z = 700/5
z = 140
Mei has 140 marbles
Since x = z - 50
x = 140 - 50
x = 90
Xavier has 90 marbles
y = 3z
y = 3 × 140
y = 420
Thomas has 420 marbles
Xavier and Mei marbles = 90 + 140
= 230 marbles
Blake walked 7/8 of a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?
Answers
Answer: 4 3/8
Step-by-step explanation:
If he walks 7/8 every 1/5 of an hour, we can multiply that by 5 to get how much he travels every hour. 7/8 * 5=35/8. 35/8 simplifies to 4 3/8
Analyze the zeros of f(x) = x* - 3x - 2x2 + 3x - 5.
Determine the integral intervals where the zeros are located.
A.-2& -1 and 2&3
C.-2& -1 and 3&4
B.0&1 and 1&2
D.-1 & 0 and 3&4
Please select the best answer from the choices provided
Answers
Its C, I did a test
A local radio station has 30 concert tickets. They give away 2 tickets each hour until the tickets are gone.
Which equation represents the number of concert tickets, y, left after x hours?
A. y = -30x + 2
B. y = -2x - 30
C. y = -2x + 30
D. y = 2x + 30
E y = 30x - 2
Answers
the equation is y=2x+30
What is the theoretical probability of not rolling a 2?
Answers
Answer:
Theoretical probability is based upon what is expected when rolling two dice, as seen in the "sum" table at the right. The theoretical probability of rolling an 8 is 5 times out of 36 rolls. The theoretical probability = 5/36 ≈ 13.9%. 3) The experiment rolled more 8's than would be expected theoretically.
Step-by-step explanation:
The theoretical probability of not rolling a 2 is 5/6.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Assuming a fair six-sided die, the probability of rolling a 2 is 1/6.
Therefore, the probability of not rolling a 2 on a single roll of the die is:
P(not rolling a 2) = 1 - P(rolling a 2) = 1 - 1/6 = 5/6
Thus,
The theoretical probability of not rolling a 2 is 5/6.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
What is an explanatory variable?
Answers
Step-by-step explanation:
An explanatory variable is a type of independent variable. The two terms are often used interchangeably. But there is a subtle difference between the two. When a variable is independent, it is not affected at all by any other variables. When a variable isn’t independent for certain, it’s an explanatory variable.
Let’s say you had two variables to explain weight gain: fast food and soda. Although you might think that eating fast food intake and drinking soda are independent of each other, they aren’t really. That’s because fast food places encourage you to buy a soda with your meal. And if you stop somewhere to buy a soda, there’s often a lot of fast food options like nachos or hot dogs. Although these variables aren’t completely independent of each other, they do have an effect on weight gain. They are called explanatory variables because they may offer some explanation for the weight gain.
The line between independent variables and explanatory variables is usually so unimportant that no one ever bothers. That’s unless you’re doing some advanced research involving lots of variables that can interact with each other. It can be very important in clinical research. For most cases, especially in statistics, the two terms are basically the same.
An explanatory variable is an independent variable.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
A variable is an explanatory variable.
A researcher-manipulated variable is an explanatory variable when it comes to an experiment.
It serves as a measurement of the change brought about in the response variable.
A predictor variable or an independent variable are terms that are frequently used to describe an explanatory variable.
Therefore, an explanatory variable is an independent variable.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
During a power outage, Mason burns candles for light. Each candle was initially 12 inches long. He wants to know how long they will last. The candles burn at a constant rate, and Mason measures them twice and records their height each time in the
Answers
Someone please help me with this
Answers
Answer:
16 sq. in
Step-by-step explanation:
I think you are asking for the area. The rectangle to the right of the dotted line has dimensions of 4 by 3, so its area is 4 * 3 = 12. We know one of the small rectangle's dimensions, 2, but we don't know the height. However, we see that the difference between the heights of the two figures is 1, and we already know the height of the larger rectangle is 3, so the height of the smaller square is 2. This makes its area 2 * 2 = 4. The total area would then be 12 + 4 = 16 sq. inches. Hope this helps!
3x +12 =90 what is x
Answers
Answer:
x=26
Step-by-step explanation:
3x +12 =90
subtract 12 from each side
3x=78
divide 3 from each side
x=26
Answer:
x = 26
Step-by-step explanation:
Before we begin, we must first remember that to solve for x, we have to get the variable (x) by itself.
To start, you would first subtract 12 from the left and right side of the equation.
3x + 12 - (12) = 90 - (12)
The 12 would cancel out on the left side (12 - 12 = 0) and you would now be left with 3x = 78.
Next, you would divide the left and ride side by 3.
3x ÷ 3 = 78 ÷ 3
This gives you the answer of 1x = 26 or x = 26
What is the volume of this rectangular prism?
Answers
Answer:
[tex]9 \frac{1}{3} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 2 \times 2 \times \frac{7}{3} \\ = 4 \times \frac{7}{ 3} \\ = \frac{28}{3} {cm}^{3} = 9 \frac{1}{3} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!!
Answer:
the answer is attached to the picture
Prana has a savings account and a chequing
account with a total balance of $85.
His parents doubled the amount in each
account and the new total balance is $170.
How much money does Prana have in each
account?
Answers
Answer:
There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
Step-by-step explanation:
Let S represents Prana's savings account and C represents Prana's chequing account.
Prana has a savings account and a chequing account with a total balance of $85.
Mathematically,
S + C = 85 eq. 1
His parents doubled the amount in each account and the new total balance is $170.
Mathematically,
2(S + C) = 170
2S + 2C = 170 eq. 2
We have two equations and two unknowns.
S + C = 85
S = 85 - C
Substitute the above equation into eq. 2
2S + 2C = 170
2(85 - C) + 2C = 170
170 - 2C + 2C = 170
2C + 2C = 170 - 170
0 = 0
So what does it mean?
it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.
solve for a side in right triangles
Answers
Answer:
4.28
Step-by-step explanation:
Enter the values for the variables that give the correct simplified expressions, x = equal to or greater than 0. Need help asap!
Answers
Answer:
21, 30,23, 20
Step-by-step explanation:
Answer:2,4,3,6
Step-by-step explanation:
On edg :D
Apply the distributive property to create an equivalent expression.
2(3-8y) =
It is from khanacademy *********not multiple choice
Answers
Answer:
6-16y
Step-by-step explanation:
Multiply 2 by the numbers inside the parentheses.
What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?
-3
-4/5
4/5
3
Answers
Answer:
4 Over 5 (4/5)
Step-by-step explanation:
we have
[tex]y=\frac{4}{5}x-3[/tex]
This is the equation of a line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
In this problem we have
[tex]m=\frac{4}{5}[/tex]
[tex]b=-3[/tex]
therefore
The slope is [tex]\frac{4}{5}[/tex]
The slope of the given line is equivalent to 4/5.
Determining the slope of a lineThe equation of a line in slope intercept form is expressed as y = mx + b
where:
m is the slope
b is the y-intercept
Given the equation of a line y = 4/5x. - 3, we are to determine its slope
In this case, the coefficient of x is (4/5), which represents the slope of the line.
m = 4/5
Therefore, the slope of the line is 4/5.
Learn more on slope here: https://brainly.com/question/16949303
#SPJ2
Ricky bought beans and yams for $6.35. He paid $3.15 for all the beans and
$0.40 for each yam. How many yams did he buy?
Answers
Answer:
8
Step-by-step explanation:
6.35- 3.15 is 3.20.
3.20÷.40=8
hope this helps :)
A circle with radius \pink{10}10start color #ff00af, 10, end color #ff00af has a sector with a central angle of \purple{\dfrac{2}{5}\pi} 5 2 πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians . What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
Area of the sector = [tex]20\pi units^{2}[/tex]Step-by-step explanation:
Area of a sector = [tex]\frac{\theta}{360} * \pi r^{2}[/tex]
Given radius r = 10units
[tex]\theta = \frac{2\pi}{5}[/tex]
[tex]\pi = 3.14[/tex]
substituting the given values into the equation above;
Area of the sector = [tex]\frac{2\pi}{5*360} * \pi *10^{2}[/tex]
Area of the sector [tex]=\frac{100\pi}{5}[/tex]
Area of the sector = [tex]20\pi units^{2}[/tex]
what is the slope of the line that passes through (0,1) & (4,-19) ?
Answers
Answer:
the answer is -5
Step-by-step explanation:
1. identify the ordered pairs
2. write down the slope formula
3. replace the letters with their values
4. subtract
5. divide
West High School has a math building in the shape of a regular octagon. When Mrs. Woods measures an interior angle of the octagon (which is inside her classroom), she gets 135°.
Mrs. Wood’s ceiling is 10.0 feet high and the length of one side of the building is 25.0 feet. What is the volume of West High School’s math building?
Answers
Answer:
8 sides
The building is an octagon
Step-by-step explanation:
The sum of all the interior angles in a polygon can be found by the equation
S
=
180
(
n
−
2
)
where
n
is the number of sides the polygon has.
We know that one interior angle is
135
degrees and that all the interior angles are the same because this is a regular polygon. So the sum of the angles must be
135
n
(
135
degrees times the number of sides, or the number of angles).
135
n
=
180
(
n
−
2
)
135
n
=
180
n
−
360
135
n
+
360
=
180
n
45
n
=
360
n
=
8
→
There are
8
sides and
8
interior angles of
135
degrees
Factorise this expression 14a+49 with brackets
Answers
Answer:
7(2a +7)
Step-by-step explanation:
[tex]14a+49\\=7\times 2a+7\times 7\\= 7(2a +7)[/tex]