Answer:
[tex]f(x) = x + 3[/tex]
Step-by-step explanation:
Given
Points (−5,−2) and (−3,0)
Required
Find a linear function that passes through the given points
The question implies that we solve for the equation for the line;
First, the slope of the line must be calculated;
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]
[tex]m = \frac{0 + 2}{-3 + 5}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]
We have
[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]
[tex]1 = \frac{y+2}{x+5}[/tex]
Multiply both sides by x + 5
[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]
[tex]x + 5 = y + 2[/tex]
Subtract 2 from both sides
[tex]x + 5 - 2 = y + 2 - 2[/tex]
[tex]x + 3 = y[/tex]
[tex]y = x + 3[/tex]
Replace y with f(x)
[tex]f(x) = x + 3[/tex]
Hence, from the list of given options; Option B is correct
Answer: B. f(x) = x + 3
Step-by-step explanation:
Select two possible values for x in the equation x2 = 45.
Answer:
3✓5 or -3✓5
Step-by-step explanation:
Taking the square root of both sides, we get
x = ±3✓5
Please Help!!
What is the measure of angle AXB?
Answer:
Step-by-step explanation:
Two angles are supplementary when their sum is 180
∠AXB + ∠BXC = 180° {Supplementary angles}
8x + 10 + 2x - 20 = 180
Add the like terms
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 190/10
x = 19°
∠AXB = 8x + 10
= 8 * 19 +10
= 152 + 10
∠AXB = 162
Answer:
180 degrees
Step-by-step explanation: the measure of angle AXB is ( a + a ) and the sum of the measured angles AXB and BXC = 180 , so a + ( a + a) = 180.
both these angles add up to be 180 degrees because they are both supplementary angles they both share the sides of x and b.
if it confuses you, just use a bit of repeated addition and multiplication
for example : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150
because you add 30 , 5 times .
solve for y please !
Answer:3
Step-by-step explanation:
The perimeter of the scalene triangle is 54.6 cm.
A scalene triangle where all sides are different lengths. The base of the triangle, labeled 3 a, is three times that of the shortest side, a. The other side is labeled b.
Which equation can be used to find the value of b if side a measures 8.7 cm?
8.7 plus b equals 54.6
17.4 plus b equals 54.6
26.1 plus b equals 54.6
34.8 plus b equals 54.6
Answer:
8.7 plus b equals 54.6
Step-by-step explanation:
4(8.7) + b = 54.6.
b = 19.8 cm.
The sum of the sides = the perimeter = 3a + a + b = 54.6.
Now a = 8.7, so:
3(8.7) + 8.7 + b = 54.6
4(8.7) + b = 54.6.
b = 54.6 - 4(8.7)
b = 19.8.
Answer: D.) 34.8 + b = 54.6
Step-by-step explanation: i hope this helps :)
solve for 3x2 + 15x = 12
Step-by-step explanation:
3x2 pls is this multiplication sign or it is (x)
The diameter of the cylinder is 6 cm.
If the height is triple the radius, what is the volume of the cylinder? Use 3.14 for pi and round to the nearest
hundredth.
Answer:
254.34 cubed centimeters
Step-by-step explanation:
(-42.27,4.4) and (2.27,3.1) what is the slope?
Answer:
i need one more brainliest and i will level up can u gimme brainliest THXXXXXXXXX!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
HELP KEY FOR SLOPE RIGHT HERE!Using the Slope Equation:
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
How do you calculate rise over run?
Multiply the slope by the run to calculate the rise between subsequent points. In the example, if you wanted to know the rise given a run of 10, multiply 10 times 0.6 to calculate a rise of 6. Divide the rise by the slope to calculate the run.
What does a slope of mean?
The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.
How do I find slope?!
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
I do not know the exact answer to ur question but this was just a help key for you. :) maybe it helped? :)
PLEASE GIVE ME BRAINLIEST! have a great day.
Sean drinks 350mL of milk every day. How many liters of milk does he drink in a week?
Answer:
2.45 L in a week
Step-by-step explanation:
First find out how many ml he drinks in a week
350 mL * 7 days
2450 mL in a week
We know that 1000 mL = 1 L
2450 mL * 1 L /1000 mL = 2.45 L in a week
Answer:
2.450 litres.
Step-by-step explanation:
The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml
Write the following as an algebraic expression. Subtract 6X +4 from 4X -14.
___________________________________
Hey!!!
Here's your answer:
4x-14-(6x+4)
=4x-14-6x-4
=4x-6x-14-4
=-2x-18
Hope it helps..
Good luck on your assignment_
________________________________
Answer:
[tex]= - 2x - 18 \\ = - 2(x + 9) \\ [/tex]
Step-by-step explanation:
[tex]4x - 14 - (6x + 4) \\ 4x - 14 - 6x - 4 \\ 4x - 6x - 14 - 4 \\ = - 2x - 18 \\ = - 2(x + 9)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
#stay safe#
what is the inverse of the function f(x)= 19/x³
Where is the largest element in the matrix located? a12 ON a34 a21
Answer:
a21Explanation:
I got it wrong the first two times and this is the answer it gives you.
PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!
Question 1). Mrs. Cruz randomly surveyed 25 of her 125 students about their pets. Her survey indicated that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Cruz’s best estimate of the total number of her students who have a dog? Justify your answer.
Answer: 70 I’m almost certain
Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70
Solve for : 3 2 + −10 = 0. PLEASE HELP
Answer:
Step-by-step explanation:
32+(-10)
32-10
22 is not equal to 0
so its false
Answer: no solution
Step-by-step explanation:
Remove parentheses.
32+-10=0
Simplify 32+-10 to 32-10
32-10=0
Simplify 32-10 to 22
22=0
Since 22=0 is false, there is no solution.
When making a budget, a recommended goal is to spend 10% on utilities. In reality, household spending depends on economic levels. Households with incomes from $15,000 to $20,000 spend over 11% on utilities. Households with incomes from $50,000 to $70,000 spend 8.2% on utilities, while households with incomes above $150,000 spend only 4.8% on utilities. The McKinneys' annual income is $65,000. How much should they budget annually for utilities? Enter the answer as a whole dollar amount, such as $200.
Answer:
= $5530
Finds us 8.2%
Step-by-step explanation:
if 8.2 was recommended for utilities then we need to find 8.2% of $65,000
We take 65000 x 0.082 = 5530
Therefore the Mckinney's annual income is 65,000 less $5530 for utilities.
We write it as $5,530 in pen and type in whole amount as $ 5530.
Answer:
$5,330
Step-by-step explanation:
Read this statement:
"The McKinneys' annual income is $65,000."
Now, read this statement:
"Households with incomes from $50,000 to $70,000 spend 8.2% on utilities"
Since $65,000 is between $50,000 and $70,000, the percent you need is 8.2%.
8.2% of $65,000 = 0.082 * $65,000 = $5,330
A baseball player reaches base 7 out of 20 times. How many times can he expect to reach base in 800 at-bats? a.40 b.787 c.300 d.280
Answer: D. 280
Step-by-step explanation:
20 goes into 800 40 times
7×40=280
Hope this helps.
Answer:
I hope this helped and please mark me brainliest! :)
D. 280
Step-by-step explanation:
We can divide 800 bats by 20. That will give us 40. We then multiply 7 by 40 and we get 280.
Find the value of x in the given figure using properties of parallel lines. answers : A) 27° B) 18° C) 36° D) 54°
Answer:
[tex]\mathrm{B}[/tex]
Step-by-step explanation:
[tex]126+3x=180[/tex]
[tex]3x=180-126[/tex]
[tex]3x=54[/tex]
[tex]\frac{3x}{3}=\frac{54}{3}[/tex]
[tex]x=18[/tex]
Answer:
[tex]x = 18[/tex]
Step-by-step explanation:
Co - interior angles = 180°
[tex]3x + 126 = 180 \\ 3x = 180 - 126 \\ 3x = 54 \\ \frac{3x}{3} = \frac{54}{3} \\ x = 18[/tex]
Solve the inequality. Graph the solution set. 23 + 156 > 5(3b + 1)
Answer:
b<58/5
Step-by-step explanation:
A cone holds 450 gallons of water. How many gallons of water will a cylinder hold if it has the same base area and height as the cone?
Answer:
the length is 50 gallons
Step-by-step explanation:
What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp
what is m<2? and what ism<4
Answer:
a and c
Step-by-step explanation:
∠ 1 = 60° ( vertical angle )
The sum of the 3 angles in a triangle = 180°, thus
∠ 2 = 180° - (60 + 70)° = 180° - 130° = 50° → a
(7)
∠ 3 = 180° - (60 + 40)° = 180° - 100° = 80°
∠ 3 and ∠ 4 are adjacent angles and supplementary , thus
∠ 4 = 180° - ∠ 3 = 180° - 80° = 100° → c
Amar tried to evaluate an expression step by step. -2 + 5 - (-3)
= -2 + 5 - 3 1
= -2 + 2 2
= 0 3
Find Amar’s mistake.
Choose 1 answer:
Ⓐ 1
Ⓑ 2
Ⓒ 3
Ⓓ Amar did not make a mistake.
Answer:
1.
Step-by-step explanation: - (-3) should be a positive 3 when simplified. Whenever there is two negative sign in front of a number it is going to be positive.
The solution to the expression is A = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the expression , we get
A = -2 + 5 - ( -3 )
On simplifying , we get
Step 1 :
A = -2 + 5 + 3
The - ( -3 ) becomes positive value and Amar made a mistake in Step 1
So , the value of A is
Step 2 :
A = -2 + 8
On simplifying the equation , we get
Step 3 :
A = 6
Therefore , the value of A is 6
Hence , the expression is A = 6
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ5
Are my answers correct?
Answer:
Step-by-step explanation:
1. it is an equilateral triangle.
let base=2x
let h be the height from centre.
h/8=sin 30=1/2
h=1/2×8=4
so total height=8+4=12
again x/8=cos 60
x=(√3/2)×8=4√3
Base=2x=2×4√3=8√3
area of triangle=1/2×8√3×12=48√3 sq. units.
2.
one diagonal=3+8=11
second diagonal=5+5=10
area=1/2 d1d2=1/2×11×10=55 sq units
In a circle with radius 22, an angle measuring 2\pi2π radians intercepts an arc. Find the length of the arc in simplest form.
Answer:
15
Step-by-step explanation:
The length of the arc in its simplest form will be 138.16 units.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
In a circle with a radius of 22, an angle measuring 2π radians intercepts an arc.
Then the length of the arc in the simplest form will be given as,
Arc = (2π/2π) 2π (22)
Arc = 44 x 3.14
Arc = 138.16 units
The length of the arc in its simplest form will be 138.16 units.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ5
Can anyone help me with these two questions?
Step-by-step explanation:
Problem 5:
Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.
Problem 6:
Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.
Hope this helped!
Do 6,7 for 10 points.
Answer:
6. x = 3 7. x = 120 8. x= -5
Step-by-step explanation:
the first question is x(-4) + 3 = -9
find the value of x :
-4x + 3 = -9
we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.
-4x = -12
-4(3) = -12
therefore the answer to problem 6 is x=3
and for 7 :
x / 6 - 9 = 11
we can add 9 on both sides which will cancel it out;
x/6 = 20
120/6 = 20
therefore the answer to the question 7 is 120.
For problem 8 it says :
-3x -5 = 10
we can add 5 on both sides to get:
-3x = 15
-3(-5) = 15
therefore the answer to problem 8 is -5
What is the y-intercept of the equation 4x + 5y = 20?
(0,4)
(0,5)
(4,0)
(5,0)
Answer:
(0,4)
Step-by-step explanation:
4x+5y=20
5y=20-4x
y=4-4/5x
y-intercept means a point on the y-axis(x=0)
y=4-4/5x
y=4-4/5(0)
y=4
Therefore, y-intercept is at (0,4)
measurement of these angles
Answer:
1= 105, 2= 75
Step-by-step explanation:
Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.
The perpendicular line which of the following equations represents the line that passes through the point 1,-1
Answer:
The answer is the letter A
PLZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEE
A quadrilateral has two pairs of parallel sides. The opposite angles in the quadrilateral are congruent but do not measure 90 degrees. Which of the following best describes the quadrilateral? A. square B. parallelogram C. trapezoid D. rectangle
parallogram has opposite sides parallel
only with this point we can say that the given quadrilateral is a parallogram
Answer: i think its parallelogram.
Step-by-step explanation:
parallelogram has 2 sets of parallel sides, Opposite sides are congruent, opposite angles are congruent, all angles are NOT congruent, and all sides are NOT congruent.
hope its CORRECT :)
PLS HELP IF U HAVE THE WORK PLS ADD I RLLY NEED HELP THANK YOU ITS OK IF U DONT KNOW ALL OF THEM BUT MORE THAN 5 WILL HELP A LOT