Answer:
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).
Step-by-step explanation:
Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21
Given:
A line passes through (1,-2) and is perpendicular to [tex]-4x+7y=21[/tex].
To find:
The equation of that line.
Solution:
We have, equation of perpendicular line.
[tex]-4x+7y=21[/tex]
Slope of this line is
[tex]m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}[/tex]
[tex]m_1=-\dfrac{-4}{7}[/tex]
[tex]m_1=\dfrac{4}{7}[/tex]
Product of slope of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]\dfrac{4}{7}\times m_2=-1[/tex]
[tex]m_2=-\dfrac{7}{4}[/tex]
Now, slope of required line is [tex]-\dfrac{7}{4}[/tex] and it passes through (1,-2). So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
[tex]y-(-2)=-\dfrac{7}{4}(x-1)[/tex]
[tex]4(y+2)=-7(x-1)[/tex]
[tex]4y+8=-7x+7[/tex]
[tex]4y+7x=7-8[/tex]
[tex]7x+4y=-1[/tex]
Therefore, the equation of required line is [tex]7x+4y=-1[/tex].
Solve the equation | z - 12 = 9
Answer:
21
Step-by-step explanation:
21-12=9
Answer:
z - 12 = 9
z = 9+12
z=21
A grocery store manger is ordering eggs. She orders a box of eggs with 5 trays. Each tray has 6 packs of y eggs each. How many eggs are in the box?
Answer:
30 eggs
Step-by-step explanation:
multiply 5 times 6
What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter-
sect?
Answer:
x = 2
Step-by-step explanation:
Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:
x^2 - 2x + 1 = x^2 + 2x - 7
We now do algebra to isolate x. Subtract 1 from both sides.
x^2 - 2x = x^2 + 2x - 8
Subtract 2x from both sides.
x^2 - 4x = x^2 - 8
Subtract x^2 from both sides.
-4x = -8
Divide both sides by -4.
x = 2
Use the distributive property to write an equivalent expression 3(9h + 4)
The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12
Hope this helped! :D
Answer:
27h + 12
Step-by-step explanation:
The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12
4 3/8 ÷ 1 3/8 = answer asap and correct
Answer:
3 2/11
Step-by-step explanation:
4 3/8 = 4 + 3/8 = 32/8 + 3/8 = 35/8
1 3/8 = 1 + 3/8 = 8/8 + 3/8 = 11/8
then:
4 3/8 ÷ 1 3/8 = (35/8) / (11/8) = 35/11
35/11 = 33/11 + 2/11 = 3 2/11
Answer:
[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} = \boxed{\frac{35}{11} }[/tex]
35/11 is the right answer.Simplify the expression
2y + y + gy.
Need hellllp plss
Answer:
3 y + g y
Step-by-step explanation:
please help asappppp
Answer:
5 inches
Step-by-step explanation:
hypotenuse (h)=13
perpendicular (p)=12
base(b)=√h^2-b^2
=√169-144
=√25
=5
is my answer correct?
Answer:
not at all
Step-by-step explanation:
It is recommended that backpackers should carry no more than 20% of their body weight on long hikes and no more than 10% of their body weight on short hikes.
Part A
A hiker who weighs 160 pounds is planning a long hike. The weight of their backpack when packed with essential equipment is 15 pounds. Write an inequality to show how many pounds, p, the hiker can still add to their backpack and stay within the recommended weight.
Part B
A hiker who weighs 180 pounds is planning a day hike. The weight of their backpack when packed with essential equipment is 7.5 pounds. How much weight can the hiker still add to their backpack and stay within the recommended weight?
Place an X in the table to show whether each weight is within recommendation or not.
Within Recommendation Not Within Recommendation
9.25 pounds
15.75 pounds
29.5 pounds
Answer:
Step-by-step explanation:
9.25 pounds
Solve for y:
-6+ 2y =12
Answer:
9
Step-by-step explanation:
-6+2y=12
+6 +6
2y=18
2 2
9
Consecutive/Same-Side Exterior Angles
Answer
Alternate Interior Angles
Answer
Alternate Exterior Angles
Answer
None of these
Answer
Consecutive/Same-Side Interior Angles
Answer
Corresponding Angles
Answer
Time
5 veares
Find the simple interest when
i) Principal = 22000, Rate of interest = 5% time = 5years
Answer: Simple interest = $5,500
Step-by-step explanation:
Interest formula:
I = prt
Convert 5% to 0.05
I = 22,000 × 0.05 × 5 = 5,500
I = $5,500.00
Find the sum by first finding the equivalent fractions so that both of the fractions have common denominators. Three eighths plus seven sixteenths equals blank thirteen sixteenths ten twenty fourths ten sixteenths four sixteenths
Answer:
thirteen sixteenths
Step-by-step explanation:
Three eighths plus seven sixteenths equals blank
3/8 + 7/16 = ?
= (2*3)+(1*7)/16
= (6+7)/16
= 13/16
13/16 is equivalent to thirteen sixteenths
4s*2+7s+2=0 Quadratic formula
Answer:
z=−215z=-215
Step-by-step explanation:
z=−215z=-215
Given the parent function f(x) = 2x, which graph shows f(x) + 1?
exponential function going through point 0, 2 and ending up on the right
exponential function going through point 0, 0 and ending down on the right
exponential function going through point 0, 0 and ending up on the right
exponential function going through point 0, 1.5 and ending up on the right
Answer:
Step-by-step explanation:
The temperature changed from 8 degrees to 3 degrees. How much did the temperature change by?
Answer:
Step-by-step explanation:
5degrees
How do you solve fore x/3 - x/5 = 2
is it an linear or exponential function
Answer:
a i think but im not sure
Step-by-step explanation:
3. Which of the relations below is not a function?
A. {(2,7), (4, 13), (6, 19), (8, 25)}
B. {(5,2), (7,2), (9,2), (11, 2)}
C. {(3, 1), (3, 4), (3,9), (3, 16)}
D. {(-8, 8), (-7, 7), (-6, 6), (-5,5)}
Answer:
I think it's D, I'm not really sure, but that's my best answer.
Step-by-step explanation:
None.
can someone pleaseee help!!!
Answer:
Step-by-step explanation:
use known angles and rules to find unknown values
vertical angles (pairs of angles on opposite sides of an intersection) are equivalent
supplementary angles (angles found next to each other on a line) add up to 180 degrees
opposite interior angles are equivalent
And I don't remember the name of this kind of angle, but angle 1 and 10 are equivalent because they are found on the same "location"
using these rules you can find all missing angles.
1= 75
2=180-75=105
let me know if you need more help than this
Graph y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5.
Answer:
Please check the graph of the function y=-2x+5 attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the function
[tex]y=-2x+5[/tex]
comparing with the slope-intercept form of the line equation
The slope m = -2
The y-intercept b = 5
The graph of y=-2x+5 is attached below.
Determining the y-intercept from the graph
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
Please check the graph of the function y=-2x+5 attached below.
Please give me the correct answer
Answer:
It's not a right triangle because [tex]16^{2} + 18^{2} > 24^{2}[/tex]
Step-by-step explanation:
[tex]16^{2} + 18^{2} > 24^{2}[/tex]
[tex]16^{2} = 256\\\\18^{2} = 324\\\\256 + 324 = 580\\\\580>24^{2} \\\\24^{2} = 576\\\\580>576[/tex]
Hope this helped!!!!!
Help me for 19 points please thank you
Answer:
Step-by-step explanation:
I hope you dont have to show your work because I am not showing how you do all of those aha.
part 1:
1. p=72, a= 612
2. p=194, a= 32.5
3. p=300, a= 1500
4. p=221, a= 35
and um... I dont know how to do part two. sorry
y= -3x+10 y= -2x+6 what is x and y
Answer:
(4,-2)
Step-by-step explanation:
you could use substitution and all that, but i use desmos
They each have a brother who weighs 40 units. Whose brother weighs 40 pounds, and whose
weighs 40 kilograms? Explain your reasoning,
What is y - 1 when y = 4?
A: 3
B: 2
C: 1
D: 0
PLZ HELP!
Answer:
A:3
Step-by-step explanation:
replace y by 4..so it would be 4-1=3
Good morning can u help???
Answer:
Select the proportional relationship.
That is the only thing that is in the checkbox. It won't let you continue unless you get something.
I noticed there is only one answer for this question and the answer was..incorrect. Therefore can someone answer this for me?
y=2x+9
y=4x-3
..............................
x=-9/2
x=-3/4
x = 6
y = 21
Step-by-step explanation:y = 2x + 9
y = 4x - 3
2x + 9 = 4x - 3
• Get the like-terms together:
9 + 3 = 4x - 2x
12 = 2x
• Divide 2x and 12 by 2 (to get x by itself):
12 ÷ 2 = 2x ÷ 2
6 = x OR x = 6
• To find the value of y, we have to substitute x into one of the equations (it doesn't matter which equation you plug x into, if the value of x is correct, both will equal the same number):
y = 2(6) + 9
y = 12 + 9
y = 21
y = 4(6) - 3
y = 24 - 3
y = 21
Please mark me the Brainliest!?!
Find the slope of the line that passes through the following points. (-5, -2) (5, 2)
2/5
5/2
10/4
2 1/2
Answer:
The slope is 2/5
Step-by-step explanation:
Calculating the Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-5, -2) (5, 2). Let's compute the slope:
[tex]\displaystyle m=\frac{2-(-2)}{5-(-5)}[/tex]
[tex]\displaystyle m=\frac{4}{10}[/tex]
Simplifying:
[tex]\displaystyle m=\frac{2}{5}[/tex]
The slope is 2/5