Applying the leg rule, the value of z in the right triangle given is: √30 units.
What is the Leg Rule?The leg rule states that, hypotenuse/leg = leg/part.
Given the following:
Leg = z unitsPart = 3 unitsHypotenuse = 3 + 7 = 10 unitsPlug in the values into the leg rule:
10/z = z/3
z² = (10)(3)
z² = 30
z = √30 units
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At which root does the graph of f(x) = (x + 4)(x + 7,5) cross the x-axis?
-7
-4
4
7
Answer:
Answer: -7
Step-by-step explanation:
The roots at which the graph of f(x) =(x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x axis are -4 and -7.
What is Root of Equation?In mathematics, a root is a solution to an equation that is usually stated as a number or an algebraic formula.
A quadratic equation's roots are the variable values that fulfil the equation. They are also referred to as "solutions" or "zeroes" of the quadratic equation.
We have If(x) = (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] cross the x-axis then y = f(x) = 0.
Now, if f(x) = 0
then (x + 4[tex])^6[/tex](x + 7[tex])^5[/tex] = 0
Now, calculating in separate the value of x as
x +4 =0 and x+ 7= 0
x = -4 and x = -7
Thus, the roots cross x axis at -4 and -7.
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I NEED HELP THIS HW IS DUE TODAY
choose all the pairs of lines that are parallel.
1. line UV and line VY
2.line UX and line WZ
3.line VY and line WZ
4.line YZ and line WZ
5.line UV and line WZ
6.line XZ and line VW
7.line XY and line YZ
Answer:
2.lineUX and lineVY3.lineVY and lineWZthe highest elevation in north america is denali,in alaska ,with an elevation of 20,320 feet above sealevel. the lowest elevation in california, with an elevation of 282 feet below sea level. what is the differce in the highest and lowest elevations in morth american?
Answer:
Step-by-step explanation:
The highest point in North America, Mount McKinley, in the Alaska Range, is 20,320 feet above sea level. The lowest point m North America is 282 feet below sea level and is in Death Valley in California. Which student correctly calculated the difference in elevations? Explain the error.
\begin{matrix} \text{Student A} & \text{Student B}\\ \text{20,320 - 282} & \text{20,320 - ( -282)}\\ \text{20,320 + (-282)} & \text{20,320 + ( + 282)}\\ \text{20,038 feet} & \text{20,602 feet}\\ \end{matrix}
Student A
20,320 - 282
20,320 + (-282)
20,038 feet
Student B
20,320 - ( -282)
20,320 + ( + 282)
20,602 feet
I NEED HELP THIS IS DUE TODAY
Answer:
Sorry I don't know. My advise take the problem step by step.
Step-by-step explanation:
Step-by-step explanation:
a. (8x³ - 5x² + 4x - 5) - (6x³ - 4x² - x + 2)
= 2x³ - 9x² + 3x - 3
hence, remainder distance is 2x³ - 9x² + 3x - 3.
b. (6x - 3y + 4z - 2m) + (4z - 4y + 5x - 2m)
= 11x - 7y + 8z - 4m
hence, (6x - 3y + 4z - 2m) should be subtracted from (11x - 7y + 8z - 4m) to get (4z - 4y + 5x - 2m)
c. (-1x + 6x² - 2) + (2x² - 3 - 2x)
= 8x² - 5 - 3x
now,
(10x² - 5 + 2x) - (8x² - 5 - 3x)
= 2x² - x
therefore, measure of 3rd side of the triangle is 2x² - x.
e. a² + 1a
f. x(6 - 2x) = 6x - 2x²
g. -2ab ( 3ab² + 2a²b ) = -6a²b³ - 4a³b²
h. -3b
I. -2x
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
can 22.75 be rounded off to 23.5?
(im not smart pfft)
Answer:
No
Step-by-step explanation:
22.75 can be rounded to:
22.8
23
20
Answer:
no only 22.8
Step-by-step explanation:
A line includes the points (6,9) and (14, 17). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x + 3
Step-by-step explanation:
Given: (6,9) (14, 17)
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]
slope, m = 1
Equation of line ⇒ y=mx+b
y = 9 , x = 6 , m = 1, b = ?
9 = 1*6 + b
9 = 6 + b
b = 9 - 6 = 3
Therefore, the equation of line will be:
y = 1x + 3
y = x + 3
Find the measure of the indicated angle.
Answer:
11) x = 21
12) x = 110
13) x = 85
14) x = 137
Step-by-step explanation:
Hope it helped <3
r(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value
Answer:
im not sure ask siri
Step-by-step explanation:
she knows everything
hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb
Answer:
the answer to hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb is hdshdjsh df ejnjg grkejfiejfirnigjre
Step-by-step explanation:
you have to multiply hsbhjbhfbghwebfhdfbghef gbhbr ghb erhjtgb by skjdkahdjhs to get jskhijdfkjd then multiply it by sijdikjakdj9uie. the answer would be hdshdjsh df ejnjg grkejfiejfirnigjre.
5p + 3 = 15 Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
Expressions can be represented as equations, and vice versa.
A possible situation is as follows:
John is 15 years old, and his age is 3 more than 5 times his brother's age
The equation is given as:
[tex]\mathbf{5p + 3 = 15}[/tex]
This means that:
15 represents John's ageP represents his brother's age5 and 3 are the constants that relate their agesRead more about word equations at:
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The equation 5p + 3 = 15 can be used to find Mgbafor's age when Okeke's age is five times Mgbafor's age and in three years time, Okeke will be 15 years old.
The equation 5p + 3 = 15 is a linear equation. The equation must represent a variable which when multiplied by 5 and 3 is added yields 15.
Lets assume that Okeke's age is five times Mgbafor's age In three years time, Okeke will be 15 years old. If i am asked to find Mgbafor's age, the equation to use is 5p + 3 = 15, where p = Mgbafor's age.
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Translate the following phrase into an inequality:
"A number n minus 3.5 is less than or equal to 4."
PLEASE HELP I HAVE 6 MATH MISSING ASSIGNMENTS, I HATE HIGH SCHOOL
Answer:
The term "at least" means the lowest number you can have. In other words, you cannot have a number less than that point. So we use the greater than or equal symbol.
x - 3 ≥ - 5
Add 3 on both sides of the inequality.
x ≥ -2
x is any number greater than or equal to -2.
If the term was "at most", then that is the highest number you can have, and you can go no higher than that. In this case, we would have used the less than or equal to symbol.
These terms are important to understand when working with inequalities.
The value of the inequality form of the phrase "A number n minus 3.5 is less than or equal to 4." is (n - 3.5) ≤ 4 .
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that;
The phrase is,
"A number n minus 3.5 is less than or equal to 4."
Now it can be written in inequality form as,
(n - 3.5) ≤ 4
Therefore, the inequality is,
(n - 3.5) ≤ 4
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James is going on vacation for 9 days. William is going on vacation for 6 times as long. How long is William going on vacation?
Group of answer choices:
William is going on vacation for 36 days.
William is going on vacation for 45 days.
William is going on vacation for 54 days.
William is going on vacation for 63 days.
Answer:
William is going on vacation for 54 days
Step-by-step explanation:
Answer:
C) William is going on vacation for 54 days
Step-by-step explanation:
We know that James is going on vacation for 9 days. We also know that William goes on vacation for 6 *times* as long. What this means is that we are answering 9 times 6, which is 54
What is 25/9 as a mix fraction?
Answer: 2 7/9
Step-by-step explanation:
Answer: 2 7/9
Step-by-step explanation:
First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.
lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees
Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
y = k/x ; k = constant of proportionalityTaking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
Hence, the constant of variation is 24000The variation expression is y = 24000/x This means that the total cost of organising the gettogether is to be shared equally among the attendeesTherefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
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Please help me solve this problem ASAP !
A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?
Answer:
52.083
Step-by-step explanation:
1 min = 4.8 calories
? min=250calories
at the age speed
250/4.8 calories
=52.083min
This is slopes is this supposed to be negative or positive????
please answer fast
10 marks
Answer:
AB = 5.2 cm , ED = 5 cm
Step-by-step explanation:
Δ ABE and Δ ACD are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
(a)
[tex]\frac{AB}{AC}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{AB}{11.7}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
13.5 × AB = 70.2 ( divide both sides by 13.5 )
AB = 5.2 cm
-------------------------------------------
(b)
[tex]\frac{AE}{AD}[/tex] = [tex]\frac{BE}{CD}[/tex] , substitute values
[tex]\frac{4}{AD}[/tex] = [tex]\frac{6}{13.5}[/tex] ( cross- multiply )
6 × AD = 54 ( divide both sides by 6 )
AD = 9
Then
ED = AD - AE = 9 - 4 = 5 cm
In each figure, solve for X
Answer:
x=15
Step-by-step explanation:
7x+3x-4=146
10x-4=146
10x=150
X=15
The two sides added up equals the outside length.
Hope this helps if this does please mark as brainliest
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
49 red marbles
Step-by-step explanation:
We should first make 5/12 have a base of 84, so that'll be
(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49
DUBS
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What is the total volume of both storage spaces if one side of the large storage space is 4 feet long?
The total volume of both storage is 76 ft³
What is Volume of cube?The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.
A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.
The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.
Given:
Larger box volume = s³
smaller box volume = 12 ft³
Now, the edge of larger box = 4
So, volume of larger box
= 4 x 4 x 4
= 64 ft³
Hence, the total volume is = 64 +12 = 76 ft³
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what is the answer ?????
Answer:
2456≈2500
14725=14700 (to 3sf)
Can someone please solve this problem? I’ll mark you at brainlest! (I mostly need help with 10 and down but you can do whatever!)
Answer:
10. 45/6
Step-by-step explanation:
Whatever you do to the top you have to do to the bottom. To get 2 from 6 in the denominator you would have had to divide by 3 so I multiplied 15 by 3 to give make the two fractions equal to each other. If you are not sure if your answers are correct just divide the numerator by the denominator on the calculator and if they are equal values then it's correct.
Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.
Answer:
Step-by-step explanation:
120 percent,
because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent
*Or 120 percent, I dont know though*
When raising a power to a power you________ the exponents.
Answer:
Multiply
Step-by-step explanation:
To raise a power to a power means to raise one exponent to another. Whether the exponents are real, imaginary, monomials or polynomials, to simplify these problems, all we have to do is multiply the exponents together.
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What is theValue of x ?
Answer:
10
Step-by-step explanation:
x is 10
Two vertical angles have measures (4x-21)° and (x+6)°. Find the measures of the angles
The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
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help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
A cake measures 18 centimeters in diameter. Find how much room there is to spread frosting on the top of the cake.Complete the answer sentence. You may consider writing your answer to the hundredths place and using the calculator to help you solve.