Answer:
x = -3, x = 7
Step-by-step explanation:
( 5x + 15 ) ( x - 7 ) = 0
5x + 15 = 0
5x = -15
x = -3
x - 7 = 0
x = 7
Answer:
x=−3 or x=7
Step-by-step explanation:
(5x+15)(x-7)=0
5x2−20x−105=0
5(x+3)(x−7)=0
x+3=0 or x−7=0
x=−3 or x=7
HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)
Answer:
Area = 7.5
Step-by-step explanation:
The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Given the triangle with vertices P(1,1), Q(-2,1), R(-1,-4)
Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
By using this formula
PQ = 3 , QR = 5.099 and PR = 5.385
Now,
The area of a triangle with all three sides is given by
A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2
So,
S = (3 + 5.099 + 5.385)/2 = 6.742
Now,
A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]
A = 7.499 ≈ 7.5
Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".
For more about triangles,
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Pls someone help me!
Answer:
When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.
Can a negative number have a positive factor?
Answer:
The laws of multiplication state that when a negative number is multiplied by a positive number, the product will be negative. So, if considering a factor pair of a negative product, one of these factors must be negative and the other factor must be positive.
Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible values of n?
Step-by-step explanation:
an² = 182
When a = 2, n² = 182/2 = 91, n = 9.539...
When a = 5, n² = 182/5 = 36.4, n = 6.033...
Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.
Therefore our possible values of n are 7, 8 and 9.
The possible values of n are 7, 8, 9
The given equation is:
an² = 182
Make n the subject of the formula:
[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]
Let us consider the minimum and maximum values of a:
when a = 2
[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]
When a = 5
[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]
We can conclude that 6.03 < n < 9.54
Since n is an integer, the possible values of n are 7, 8, 9
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3) The sum of the digits of a two digit number is 10. If 36 is subtracted from the number,
the digit interchange their places Find the number
Answer:
impossible,unless number is zero
Answer:
73
Step-by-step explanation:
Number is xy
x+y=10 .....a
(10x+y) - 36 = 10y+x
10x-x+y-10y=36
9x-9y=36
9(x-y)=36
x-y=4 ....b
a+b: 2x = 14 x = 7
y = 10 - 7 = 3
The two digit number is 73
check: 7 + 3 = 10
73-36 = 37 (73 vs 37)
What is the first step to Solving Word Problems?
a. Check that your answer makes sense.
b. Identify what you're trying to find.
c. Solve the problem.
d. Read the problem carefully.
e. Make a plan?
Answer:
D
Step-by-step explanation:
You can't check to see if your answer makes sense if there is no answer. You can't identify what your trying to find if you don't know the question. If you just solve the problem then you will probably get a bad grade. If you make a plan you need to know what your doing first so reading the problem carefully is the right answer.
2x29divide by 70006=x=?
Answer:
I think it is 71.222222 repeating
Step-by-step explanation:
Hope this helped have an amazing day!
The Point Imperial is the highest point of the Grand Canyon and it is 8,800
- feet tall. A professional hiker climbed to the top of one of the rims of the
Grand Canyon that is 348 feet below Point Imperial. The hiker threw a rock
upward from that rim with an initial velocity of 18 ft per second. How
many seconds will it take the rock to hit the ground? Round your answer
to the nearest tenth of a second.
Answer:
1222
Step-by-step explanation:
sorry youve been waiting a minute
A line passes through the points (-1, 4)
and (2,-2). What is the equation of this
line?
Answer:
Concept: Equation of Linear Systems
We will start by finding the slope with the equation y2-y1/x2-x1Hence: -2-4/2-(-1)= -2So we determined the slope to be -2 Now we need to find the y-intercept.Our standard equation is y=mx+b So -2=-2(2)+b b=2So our equation is y= -2x+2Give brainlistAnswer:
Slope =-3
Equation of a line
y-y1=m(x-x1))
y-4=-3(x+1)
y-4=-3x-6
y=-3x-6+4
y=-3x-2
Step-by-step explanation:
Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
[tex]Students = 1[/tex]
[tex]Adults = 4[/tex]
[tex]Total = \$48[/tex]
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
[tex]4 * x + 8 * 1 = 48[/tex]
[tex]4 x + 8 = 48[/tex]
Subtract 8 from both sides
[tex]4 x + 8 -8= 48 - 8[/tex]
[tex]4 x= 40[/tex]
Solve for x
[tex]x = 40/4[/tex]
[tex]x = 10[/tex]
a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the prism if its height is 10cm.
Answer:
240
Step-by-step explanation:
Answer:
16 m^3
Step-by-step explanation:
Question:
"a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the pyramid"
volume of pyramid = (1/3) * (area of base) * height
The perimeter of the base is 16 m, and the base is a square.
perimeter of square = 4 * side
4 * side = 16 m
side = 4 m
area of square = (side)^2
area of base = (4 m)^2 = 16 m^2
volume of pyramid = (1/3) * (area of base) * height
volume = (1/3) * (16 m^2) * 3 m
volume = 16 m^2
What is the ratio of the side lengths of a shape to the area of that shape?
Answer:
The area of a shape is the amount of two-dimensional space that it covers. The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area. This is easily calculated.
13. Write an equation in slope-intercept form for the line that passes through the point (-3,5) and is parallel to the equation y = -1/2x + 4
The auto repair shop took 2.5 hours to repair Victoria's car. The cost of the
parts needed was $93, and the total bill was $248. What is the repair shop's charge per
hour for labor?
Answer:D
Step-by-step explanation:
An auto repair shop charged $75/h for labor plus an additional $89 for parts.
If the shop worked for 2 h.
C = Represented the total repair cost .
Than the equation becomes
C = 75 × 2 + 89
C = 75 (2) + 89
Therefore the total cost for the repair is represented by C = 75 (2) + 89 .
Option (D) is correct .
Answer:
Step-by-step explanation:
the charge is 77 dollars per hour of labor
Need helpppp ASAP!!!!!!!
Last year, David opened an investment account with $6600. At the end of the year, the amount in the account had
Increased by 27.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answer:1815 euros left
Step-by-step explanation:
GIVING BRAINLIEST!
Please define the following in your own words:
law of conservation of matter
Answer:b
Step-by-step explanation:
how do you graph this
y-2x=0
y=4x+3
Answer:
Step-by-step explanation:
those are 2 lines, and to graph them find 2 points for each to draw a line trough them
line 1
y-2x=0 so y=2x
pick any value for x
(x=1, y=2*1=2), (x=3, y=2*3=6)
Draw a line trough points (1,2) and (3,6)
line 2
y=4x+3
(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)
Draw a line trough points (1,7) and (-1, -1)
JRJSOWNDNFNEOSLDNFBWKWLND
Answer:
Step-by-step explanation:
the 1 one is the right one
Answer:
A. The afternoon temperature was 5 degrees above the night temperature
Step-by-step explanation:
have a nice day
11.sınıf temel düzey matematik geometri :(
Step-by-step explanation:
öklid kurali var uygularsak:
(3 kök 5 ) ^(2)=X.(X+4)45= X(X+4) buradan X = 5 Cevap B seçeneği BAŞARILAR...Factor the following by completing the square w^4-22w^2+9
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9
6x + 3y = 33
4x + y = 15
PLEASEEE HELPP
solve for x
x/4 ≥ -8
x ≥ -2
x ≥ -32
x ≤ -32
x ≤ -2
Answer:
Step-by-step explanation:
X/4 ≥ -8
4 x X/4 ≥ -8 x 4
X ≥ -32
PLEEASEEEE HELP ASAP WILL GIVE BRAINLIST TO WHO EVER IS FIRST
Jake has a balance of -$142 in his bank account. After he deposited $550 into the account, what was Jake's new balance
A.$0
B.$358
C.$642
D.$368
Use the unit circle to find the point (x,y) that corresponds to the real number t
Step-by-step explanation:
I hope its help you
AAAAAAAAAAAAAASASAAAAAAAA
Answer:
-5/2 is located left of -1
Step-by-step explanation:
Here, we want to select the correct option
We are comparing two numbers and the one on the left is less than the one on the right
Now, on the number line, we should notice one thing
The thing is that numbers that are less than a certain number will be positioned at the left hand side of the number
So what we have here is that the smaller number -5/2 is placed at the left hand side of -1 since it is the smaller number
Answer:
C.
Step-by-step explanation:
have a very awesome day!!!!
Please help and give details!
Answer:
D
Step-by-step explanation:
10 flowers in 5 vases = ? flowers per vase
Answer:
there are 2 in each vase
Answer:
2 flowers per vase
2. Write the following rational numbers in order from smallest to largest: 3 1.25, V2, 18, 1.875, 13
4. How many terms of the series 64 + 32 + 16 + ... ... must be taken so
that the sum may be 255÷2
Answer:
... ... = .5
Step-by-step explanation:
I'm not sure if I'm right. But I got my answer by dividing 255 and 2 first
255 / 2 = 112.5
Then find out what 64 + 32 + 16.
64 + 32 + 16 = 112
Add 0.5 to get the same answer from 255 / 2
64 + 32 + 16 + 0.5 = 112.5