Answer:
y = 3x - 1Step-by-step explanation:
Two lines are perpendicular if the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = -1/3x + 7 ⇒ m₁=-1/3
-1/3×m₂ = -1 ⇒ m₂ = 3
The y-intercept is b=-1 so the equation in slope-intercept form:
y = 3x - 1
Select the correct answer.
Which expression is equivalent to 13 square root 22b - 10 square root 22b, if b>0?
A. 23 square root 22b
B. 130 square root 22b
C. 3 square root b^2
D. 3 square root 22b
Given:
The expression is
[tex]13\sqrt {22b}-10\sqrt{22b}, b>0[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]13\sqrt {22b}-10\sqrt{22b}[/tex]
Taking out common factors.
[tex]=(13-10)\sqrt {22b}[/tex]
[tex]=(3)\sqrt {22b}[/tex]
[tex]=3\sqrt {22b}[/tex]
The expression [tex]3\sqrt {22b}[/tex] is equivalent to the given expression.
Therefore, the correct option is D.
Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam
Answer:
mark of the fifth exam = 60
Step-by-step explanation:
Mean = sum of all marks / number of exam
Mean = 70
Number of exam = 5
Let x =
Mean = sum of all marks / number of exam
70 = (65 + 80 + 76 + 69 + x) / 5
Cross product
70 × 5 = (290 + x)
350 = 290 + x
350 - 290 = x
x = 60
mark of the fifth exam = 60
help please this make me want to be sad i just want to go play my ps5 hurry
Answer:
5
Step-by-step explanation:
because equation by itself
Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options. XY and ST VU and TW XS and XW TX and WX VU and YZ
Answer:
XYand ST , VU and TW, TX and WX
Step-by-step explanation:
Volume of hexagonal right pyramid =[tex]\frac{1}{3}[/tex]×Area of base ×height
Area of base =[tex]\frac{1}{2}[/tex]×apothem ×perimeter
if we consider face TXY ,here height =ST and length XY
(b) consider face TVW, length VU and TW
(d) consider face TWX, length WX and TX
Hence lengths in options (a),(b),(d) can be used to find the volume of hexagonal right pyramid .
Answer:
A, B, D
Step-by-step explanation:
EDGE 22
Please help I’ll give brainiest! Fill in the missing exponent !
Answer:
Answer is .............3.
Answer:
It's 3
So whenever u see a power outside the bracket u times it with the inner brackets
In the final answer a is with the power of 8 because 2 times 4 is 8
U do the opposite to find the power of b u divide 12 with 4 which will be 3 ☺️
what is the surface area of this square pyramid?
Answer:
The surface area of the square pyramid is 144m²
Step-by-step explanation:
the surface area pyramid is equal to SA = B + Ph/2
Evaluate each algebraic expression for x = -2,3, -0.5, and 1 1/2
2). 4X. 3) 3x+2
PLEASE HELP URGET!!
Answer:
Step-by-step explanation:
2. 4x= 4*(-2)=-8
4x=4*(3)=12
4x=4*(-0.5)=-2
4x=4*3/2=6
the 3x+2
3x+2=3*(-2)+2=-6+2=-4
3x+2=3*(3)+2=11
3x+2=3*(-0.5)+2=-1.5+2=0.5
3x+2=3*(3/2)+2=9/2+2=13/2=6 1/2
word form 952.374 pls help
Answer:
WORD from the 2.O
Step-by-step explanation:
Lisa is buying a computer for $1,500. The sales tax rate is 8.5%. Which expression should be used to calculate t, the total cost for the computer including tax?
Answer:
t=$1627.5Step-by-step explanation:
Step one:
given data
price of computer= $1500
sales tax= 8.5%
Step two
Let us compute the amount in tax
tax= 8.5/100*1500
=0.085*1500
=$127.5
Let the total cost be t
hence
t=1500+0.085*1500
t=1500+127.5
t=$1627.5
Taylor is 15 years younger than Marty. Twice Marty’s age added to three times Taylors age totals 205. What are the ages of Taylor & Marty?
Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years
i need help please... 30 points + brainliest if u answer all 5
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
what is the answer to 26=t-19
what is the answer to 26=t-19 ?
Answer:
t = 45, okay
Step-by-step explanation:
=》t - 19 = 26
=》t = 26 + 19 ( by adding 19 on both sides )
=》t = 45
Can anyone help please this question!
Answer I blive is is 8
Step-by-step explanation:
on a graph there are two points (0,3) and (8,0) what is the proper equation
Answer:
The line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]Step-by-step explanation:
Given the two points
(0,3)(8,0)Finding the slope between (0,3) and (8,0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]
[tex]m=\frac{0-3}{8-0}[/tex]
[tex]m=-\frac{3}{8}[/tex]
Therefore, the slope of the line: m = -3/8
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -3/8 and the point (0,3)
[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]
[tex]y-3=-\frac{3}{8}x[/tex]
Add 3 to both sides
[tex]y-3+3=-\frac{3}{8}x+3[/tex]
Simplify
[tex]y=-\frac{3}{8}x+3[/tex]
Therefore, the line equation of the line is:
[tex]y=-\frac{3}{8}x+3[/tex]Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds?
Answer:
The watermelon
Step-by-step explanation:
12 pounds would be around 5.450 kilograms
Simplify each algebraic expression.
2a +3(a +7)–(3a +3)
Answer:
2a+18Step-by-step explanation:
[tex]2a +3(a +7)-(3a +3)\\\\Expand\: 3(a +7) :\\3a+21\\\\=2a+3a+21-\left(3a+3\right)\\\\-(3a+3)=-3a-3\\\\=2a+3a+21-3a-3\\\\Simplify\\\\=2a+18[/tex]
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!
A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units
Answer:
A
Step-by-step explanation:
Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values
[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20(15 + x) = 420 ( divide both sides by 20 )
15 + x = 21 ( subtract 15 from both sides )
x = 6
Ryan was paid $75 for
working 6 1/4 hours.
How much money
did he make per hour?
A. $12.50
B. $12
C. $15
Answer:
the answer is b
Step-by-step explanation:
12:
Step-by-step explanation:
A catapult’s lever holds a cannonball. The lever is attached to a tightly held rope. When the rope is released, the lever springs forward and launches the cannonball. When the rope is held tightly, which form of energy does it possess?
Answer:
elastic
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please help me answer this question
Answer:
4x-2+y-4
Step-by-step explanation:
Answer:
x = 7, y = 16
Step-by-step explanation:
the sides with measure 2x + 5 and x + 12 are congruent, so
2x + 5 = x + 12 ( subtract x from both sides )
x + 5 = 12 ( subtract 5 from both sides )
x = 7
Then
x + 5 = 7 + 5 = 12
The sides with measure y - 4 and x + 5 are congruent, so
y - 4 = x + 5, that is
y - 4 = 12 ( add 4 to both sides )
y = 16
Distributive property to remove parantheses -8(-6v+2x-4)
Answer:
48v - 16x + 32
Step-by-step explanation:
An item is regularly priced at $15. Kala bought it on sale for 75% off the regular price find out how much Kalla paid
Answer:
$11.25
Step-by-step explanation:
you take 75% of 15
Answer:
11.25
Step-by-step explanation:
because I used a calculator
so i’m trying to figure out the slope of the line shown on the coordinate plane
Answer:
2
Step-by-step explanation:
pick two points that the line crosses through and write down the coordinates
eg. (3,3) and (2,1)
change in y/change in x
3-1/3-2
2/1
2
hope that helps :)
Answer:
2
Step-by-step explanation:
a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16.79, 9 sleeves for 22.99
Answer:
9 sleeves for 22.99
Step-by-step explanation
The first pack has a unit rate of $11.49/ 4 balls
=$2.8725
The second pack has a unit rate of $16.79/6balls
=$2.798 per ball
the third pack has a unit rate of $22.99/9balls
=2.554
So, I would definitely go for the third pack since it has the least cost.
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene 's car had 5.9 gallons in the14 -gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.60 per gallon. How much did Irene spend on gas
Answer:
I believe it is $21.24 im sure
The school is landscaping an area for a soccer field. If the
dimensions are 60 feet by 35 feet. What is the area of the soccer
field?
Answer: 2100 square feet
Step-by-step explanation: 60 x 35=2100
Answer:
2100 ft squared!
Step-by-step explanation:
The formula to find the area of a rectangle is L * W = A
Where A is the total area, and L and W are the dimensions.
Since we know what the dimensions of the rectangles are, we can replace L and W to find out the area. This will look like this: 60 * 35 = A
Now we just have to multiply 60 and 35 to find A. This will simplify to 2100, which means the total are of the rectangle, or in this case, the soccer field, is 2100 ft squared!
Evaluate x + 3y when x = 4 and y = 5
*Please show how you got your answer*
Answer:
19
Step-by-step explanation:
x + 3y
4 + 3 (5)
4 + 15
=19
Please help!
Look at the system of equations:
y = 2/3x + 10
y = 2/3x − 10
Which of these statements is correct?
A. The system has one solution at (-3,8)
B. The system has one solution at (6,-6)
C. The system has no solution
D. The system has an infinite number of solutions
Answer:
I think is C or B
Step-by-step explanation:
Answer: A
Step by step: I did a test and got it right.
Hope this helps!!! - sorry in a rush -
Lisa started with $50 and saved $15 a week. Which equation describes the growth of her savings with X as the number of weeks and Y as the total dollars?
Answer:
I believe its X=15Y+50
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzz
Answer:
4x²+20x+25
Step-by-step explanation:
(2x+5)² = (2x+5)(2x+5)
(2x+5) (2x+5) = 2x(2x) + 2x(5) + 5(2x) + 5(5)
= 4x² + 10x + 10x + 25
= 4x²+20x+25