Answer:
x = 2
Step-by-step explanation:
If x is a prime number, then x + 1 is not a prime number.
A counterexample is x = 2.
x = 2
2 is prime
x + 1 = 2 + 1 = 3
3 is also prime
What is the standard form of the points (-3,4) (2,-6)
The standard form equation of the line connecting the two points is [tex]2x + y = -2[/tex]
Linear equation in a standard form is given as [tex]Ax + By = C[/tex]
where,
A, B, and C are constants or numbers
x and y are the variables.
To solve this problem, the following steps would be taken:
Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)
[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
where,
[tex](x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)[/tex]
Substitute
[tex]slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2[/tex]
Step 2: Find the y-intercept (b) of the line by substituting [tex](x, y) = (-3,4)[/tex] and [tex]m = -2[/tex] into [tex]y = mx + b[/tex] (slope-intercept form)
[tex]4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2[/tex]
Step 3: Write the equation of the line in slope-intercept form by substituting [tex]m = -2[/tex] and [tex]b = -2[/tex] into [tex]y = mx + b[/tex]
[tex]y = -2x + (-2)\\y = -2x - 2[/tex]
Step 4: Rewrite the equation in standard form [tex](Ax + By = C)[/tex]
[tex]y = -2x - 2\\[/tex]
Add [tex]2x[/tex] to both sides
[tex]2x + y = -2x - 2 + 2x\\2x + y = -2[/tex]
The standard form equation of the points (-3,4) and (2,-6) is [tex]2x + y = -2[/tex]
Learn more about standard form of two points of a linear equation here:
https://brainly.com/question/18446164
which of the following equations correctly represents a circle centered at the origin with a radius of 5
Answer:
x² + y² = 25
Step-by-step explanation:
The standard form of a circle is (x - h)² + (y - k)² = r² where (h, k) is the center point and r is the radius. In this case, the center is the origin which has coordinates of (0, 0) so h = 0 and k = 0. We know that the radius is 5 so r = 5. Therefore, after plugging in the values of h, k, and r, we get that the answer is x² + y² = 25.
10. The slope of the line passing through (3, 3)
and (-3, 3) is:
Answer:
0
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= (3-3)/(-3-3)
= 0/-6
=0
Answer:
m = 0
Step-by-step explanation:
Use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
[tex]\frac{3-3}{3-(-3)}\\\\ \frac{0}{6}\\\\0[/tex]
Therefore, the slope of the line is 0.
*Note that if the y values do not change as x changes, it is evidence that the slope is 0.*
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A sum of Rs. 700 grows by 1/20 of itself every year. At what time would it amout to Rs.1050?
a) 8 years
b) 10 years
c) 12 years d) 15 years
Answer:
b) 10 yearsStep-by-step explanation:
1/20 of 700: 1/20•700 = 35
700 + n•35 = 1050
n•35 = 350
n = 10
a shop has a sale and reduces all the prices by 15k in naira.find the sale price of an article of an article marked at 750naira
Answer:
Question (i):
Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6
Price after reduced = Rs 40 - Rs 6 = Rs 36
Answer: Rs 36
-
Question (ii):
Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60
Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34
Answer: Rs 17.34
-
What else would need to be congruent to show that AABC = APQR by SSS?
Giver
AC =PR
BC = QR
A AC = PQ
B. AB = PQ
C. ZAZP
D. ABBA
Answer:
B, because that's the side that wasn't given
Step-by-step explanation:
The statement AB ≅ PQ is required to be congruent.
Option B is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
Now,
ΔABC and ΔPQR
AC ≅ PR (given) (side)
BC ≅ QR (given ) (side)
AB ≅ PQ (side)
ΔABC ≅ ΔPQR (SSS)
Thus,
AB ≅ PQ is required to be congruent.
Learn more about triangle congruency here:
https://brainly.com/question/12413243
#SPJ7
necesito ayuda con esto
Answer:
nacho taco Guadalupe Juan ching chong
Step-by-step explanation:
Noob
what is the diamater of a circle
the area of a circle is 144π m^2
Answer:
24 meters
Step-by-step explanation:
The area of a circle can be found using the following formula.
[tex]a=\pi r^2[/tex]
We know that the area is 144pi m^2.
[tex]a= 144\pi m^2[/tex]
Substitute 144pi m^2 in for a.
[tex]144\pi m^2= \pi r^2[/tex]
We want to find the diameter. First, we must find the radius. We have to get the variable, r, by itself.
Divide both sides of the equation by pi.
[tex]144\pi m^2/ \pi = \pi r^2 / \pi[/tex]
[tex]144\pi m^2/ \pi = r^2[/tex]
[tex]144 m^2= r^2[/tex]
The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{144 m^2} =\sqrt{r^2}[/tex]
[tex]\sqrt{144 m^2} =r[/tex]
[tex]12 m= r[/tex]
The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.
[tex]d= r*2[/tex]
The radius is 12 m.
[tex]d= 12 m*2[/tex]
Multiply
[tex]d= 24 m[/tex]
The diameter of the circle is 24 meters.
Find the measure of each side indicated. Round to the nearest tenth.
A) 19.8
C) 24.9
B) 27.2
D) 25.3
Answer:
D. 25.3
Step-by-step explanation:
tan∅ = opposite over adjacent
Step 1: Write equation
tan66.5° = x/11
Step 2: Multiply both sides by 11
11tan66.5° = x
Step 3: Evaluate
x = 25.2983
x ≈ 25.3
Answer:
[tex]\huge\boxed{x = 25.3}[/tex]
Step-by-step explanation:
Tan θ = opposite / adjacent
Where θ = 66.5 , opposite = x and adjacent = 11
Tan 66.5 = x / 11
2.3 * 11 = x
25.3 = x
OR
x = 25.3
What is the range of the function graphed below?
Answer:
(- infinity, +2]
Step-by-step explanation:
the range is the interval of numbers for possible y (result) values of a function.
so, what y values are possible here ?
clearly it goes from the very bottom, negative infinity, up to 2.
I see no way for other y values (> 2).
and usually we write such an interval with an open end bracket "(" or ")" on the side of infinity, because infinity is not a value and can never be reached. and the included end bracket "[" or "]" is used on an end, where we have a specific (and really included) value.
The perimeter of a rectangle is 250 yards. The length is ten less than twice the width. The rectangle's:
A. length is 80 yards and the width is 45 yards.
B. length is 115 yards and the width is 10 yards.
C. length is 70 yards and the width is 60 yards.
Answer:
A lengthy is 89yards and the width is 45yards
1. Find 3 consecutive integers whose sum is 33.
Answer: 10, 11, 12
Step-by-step explanation: Think of the integers like this:
1st integer: x
2nd integer: x+1
3rd integer: x+2
That is necessary because they are consecutive integers. Since the sum is 33, we need to create an equation.
x+x+1+x+2=33.
Simplify:
3x+3=33.
Opposite operations:
3x=-3+33.
To get the 3 close to the 33, we needed to make it negative, which is the opposite operation of the positive 3.
So,
3x=30.
Divide by 3:
x=10.
The first integer, x, equals 10.
To go with the guide that we already created,
1st integer: x=10
2nd integer: x+1=11
3rd integer:x+2=12.
Therefore, the three consecutive integers are 10, 11, and 12.
To check that, add them up. They all equal 33 and they are consecutive, which means this is the right answer!
Answer:
10, 11, 12
Step-by-step explanation:
For problems involving consecutive integers, I like to consider their average value. For three consecutive integers, their average will be the middle one. It will be ...
average = sum / (number of numbers) = 33/3 = 11
The middle number is 11, so the numbers are ...
10, 11, 12
_____
If you want to write an equation, you can let x represent the middle number. Then the other two are x-1 and x+1, and their sum is ...
(x-1) +(x) +(x+1) = 33 = 3x
x = 11 ⇒ x-1 = 10, x+1 = 12
The pepper plant has \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction as many fruits on it as the tomato plant has. The tomato plant has 999 fruits on it.
Answer:
6 pepper fruits
Step-by-step explanation:
Given the following :
Fraction of pepper in terms of tomato = 2/3
Number of fruits on pepper plant = 9
Therefore number of pepper fruits on pepper plant:
2/3 * number of tomato fruits
2/3 * 9
(2 * 3) = 6
6 pepper fruits.
1. How can you find the decimal forms of 3/12 and 2/9 .
Answer:
3/12 as a decimal is 0.25
2/9 as a decimal is 0.2 reapeted
Answer:
Answer written below
Step-by-step explanation:
Divide 3 by 12 and 2 by 9 using long division solve like normal long division if your divisor is bigger than your dividend add a zero on top and add a zero to the dividend.
Decimal form of 3/12:0.25
Decimal form of 2/9:0.22223
7t + 6 + 3v + 6v
Hey can someone help ne
Answer:
7t + 6 + 9v
Step-by-step explanation:
7t + 6 + 3v + 6v (since 3v and 6v are like terms you will add them both.)
7t + 6 + 9v
Hope this helps, thank you :) !!
Answer:
7t+6+9v
Step-by-step explanation:
7t+6+3v+6v
7t has no opponent it is =7t
6 is on it own =6
3v+6v=9v,reason is 3v has an opponent which is 6v so addition of 3v and 6v is =9v
so ur ans. is =7t+6+9v
a car gets 27 miles per gallon in the city and 35 miles per gallon on the highway. what range of miles can the car travel on 3 gallons of gas
dy
If x= 15t2 and y= 10t2, find
dx
Answer: x' = 30t
y' = 20t
Step-by-step explanation:
To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.
x = 15t²
x' = 2 · 15t²⁻¹
= 30t¹
= 30t
y = 10t²
y' = 2 · 10t²⁻¹
= 20t¹
= 20t
A boom seller sold 50 books for $ 890.00 and earned a profit of $ 90.00. Find the cost price of 50 books.
Answer:
$ 800
Step-by-step explanation:
number of books sold = 50
money earned = $ 890.00
profit = $ 90.00
Then the price of 50 books will be (money earned) - (profit)
= 890 - 90
= 800
So, the cost of 50 books is $ 800
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
Someone please help me fast !!
The midpoint of line segment AB is (1,2). if the coordinates of A are (1,0) what are the coordinates of B
The required coordinate of B will be at (1, 4)
When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;
[tex]M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ][/tex] where:
[tex]X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}[/tex]
From the question, we are given the following coordinate points
[tex]X=1\\x_1=1\\[/tex]
Get x₂;
[tex]X =\frac{x_2+x_1}{2}\\1 =\frac{x_2+1}{2}\\2=x_2+1\\x_2=2-1\\x_2=1\\[/tex]
Get y₂;
[tex]Y =\frac{y_2+y_1}{2}\\2 =\frac{y_2+0}{2}\\2 \times 2=y_2+0\\4=y_2+0\\y_2=4\\[/tex]
Hence the coordinate of B will be (1, 4)
Learn more about the midpoint here: https://brainly.com/question/18315903
a wall of a building is 36 inches wide. sixteen inches is concrete, 14 inches is brick, and 6 inches is limestone. what fraction of the wall is brick?
Answer:
878
Step-by-step explanation:
that is because i know what i am doing.
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other.
Answer:
where are the numbers
Step-by-step explanation:
There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?
Some food is able to keep 150 students fed at camp for 5 days,
How many days will the food last for if there are 100 students,
I know its 7.5 but why do people x the 150 and 5 i dont get it
Answer:
x=7.5
Step-by-step explanation:
s is for students
d is for days
150 s take 5 days to finish food
if there are 100 s how many days will the same amount of food take
so 150 students × 5 days = 750 equation 1
100 students × x days= 100x equation 2
750 from 1 = 100 x from 2
750÷100=x
x=7.5 days
What is the name of the property illustrated in the equation below?
5+(3x+0)=5+3x
Answer:
Step-by-step explanation:
Additive identity property.
The sum of any number and zero is the original number
3x + 0 = 3x
-7m-3(-5m-4)=-61
My answer is always decimals??? Its weird…please help
Answer:
M=-73/8
Step-by-step explanation:
help me please I'm bad at math
Answer:
123
Step-by-step explanation:
Large rectangle:
8 - 3 = 5
5 × 4 × 3 = 20 × 3 = 60
Smaller rectangle:
3 × 3 × 7 = 9 × 7 = 63
Both:
63 + 60 = 123
Hope this helped.
Question 7 of 10
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 5 feet and the sides have a length of 12 feet. He also
measured one diagonal to be 13 feet. What is the length of the other
diagonal?
O A. 12 feet
B. 13 feet
O C. 5 feet
O D. 17 feet
Answer:
13
Step-by-step explanation:
The diagonals of rectangle are equal in length.
Flaming BBQ restaurant makes a dipping sauce with 9 mL of hot sauce for every 6 ounces of barbecue sauce. Which of the following mixtures will taste the same as flaming BBQ's dipping sauce?
Choose 3 answers:
A. 6 mL of hot sauce mixed with 20 oz of barbecue sauce
B. 3 mL of hot sauce mixed with 2 oz of barbecue sauce
C. 45 mL of hot sauce mixed with 30 oz of barbecue sauce
D. 24 mL of hot sauce mixed with 18 oz of barbecue sauce
E. 12 mL of hot sauce mixed with 8 oz of barbecue sauce
pls help me ;-;
Answer:
B, C , and E
Step-by-step explanation:
for 9 ml of hot sauce (x) +6 ounces of BBQ sauce(y)= flaming BBQ(c)
9x+6y=c
B: 3x+2y will give the same taste ( the quantity reduced to one third)
C: 45x+30y will give the same taste ( the quantity multiply by 5)
E:12 x+8y will give the same taste ( the quantity multiplied by 0.75)
Okay I need ur help pls very urgent..
So I have to match the following: .complement of 50degres
Supplement of 145degress
.complement of 27degress
Supplement of 50 degrees to either
130degress
63degress
35degress
And 40degress
So I gotta match the following the first ones on top match them to these ones here on the bottom hope you can help me and very sorry..I’m just really bad with maths.
Thanks..
Supplementary angles are those which sum upto 180°
[tex] \angle 1+\angle2=180^{\circ}[/tex]
Complementary are those which sum to 90°
[tex] \angle 1+\angle2=90^{\circ}[/tex]
so if you know one angle, you can find other.
Answer:Look at my explaination
Step-by-step explanation:The complement of 50 is 90-50 giving us 40degrees
The supplement of 145 is 180-145=35 degrees
The compliment of 27 degrees is 90-27=63 degrees
The supplement of 50 degrees is 180-50=130 degrees