The value of a if the point (–4, a) is also on the line is -6
What is the value of a if the point (–4, a) is also on the line?If a line passes through the point (4, –2) and has a slope of 1/2, its equation can be written in point-slope form as:
y - (-2) = 1/2(x - 4)
Simplifying the equation gives:
y + 2 = 1/2x - 2
To find the value of a, substitute x = -4 and y = a into the equation:
a + 2 = 1/2(-4) - 2
a + 2 = -4
a = -6
Hence, the value of a is -6
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Question
A line passes through the point (4, –2) and has a slope of 1/2 What is the value of a if the point (–4, a) is also on the line?
PLS HELP ME ASAP WITH A-C (CORRECT ANSWERS PLS!!) THANK YOU SM!!!!
In the diagram which we must be true for point P to be the centroid of the triangle
When Lou started his current job, his employer told him that he would receive two vocation days for each full year he worked. How long will it take him to earn 18 paid vacation days?
By solving a linear equation, we will see that he needs to work for 9 years.
How long will take Lou to earn 18 vacation days?We know that for each year that he works, he gets 2 vacation days.
So we can write the linear equation:
y = 2*x
Where y is the number of vacation days, and x is the number of years that he worked.
We want to find the value of x such that y = 18, then we need to solve:
18 = 2*x
Solving for x w get:
18/2 = x = 9
This means that to get 18 vacation days, he needs to work for 9 years.
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−7x−50≤−1 AND−6x+70>−2
wrong it would be -7 greater than sign x another greater than sign 12
After solving the compound inequalities we get
[tex]-7\leq x<12[/tex]
Given :
[tex]-7x-50\leq -1 and -6x+70>-2[/tex]
solve each inequality using algebraic operations
[tex]-7x-50\leq -1\\-7x\leq -1+50\\-7x\leq 49\\Divide \; by \; -7\\x\geq -7[/tex]
Now we solve the next inequality
[tex]-6x+70>-2\\-6x>-2-70\\-6x>-72\\Divide \; by \; -6\\x<12[/tex]
From both inequalities we get
[tex]-7\leq x<12[/tex]
Solution for the given inequality is [tex]-7\leq x<12[/tex]
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A(n) _____ is a two dimensional diagram that can be folded to form a three dimensional figure?
A. net
B. orthographic drawing
C. isometric drawing
D. geometric solid
Answer:
The answer is option A.
Step-by-step explanation:
A net is a two dimensional diagram that can be folded to form a three dimensional figure.
A net is a pattern made when a 3 d figure is put flat on the surface, showing each face of the figure.
A solid has different nets.
Answer:
Step-by-step explanation:
1.A
2.A
3.B
4.B
5.C
6.D
7.C
8.B
9.A
10.D
11.C
12.C
13.C
14.B
15.D
Find the distance between the given points. C(7, 1) and D(4, -6) Distance =
Answer:
√58
Step-by-step explanation:
i need help please
what is the missing reason in the proof
What is the simplified expression for
Select one:
a. 3 over 2
b. 3 to the power of 2 over 2 to the power of 2
c. 3 to the power of 2 over 2
d. 2 to the power of 4 over 3
If x=2 then 2=x what’s the definition
Answer:
The symmetric property of equality.
Step-by-step explanation:
The symmetric property of equality says that if a=b, then b=a. Here, we have x substituted for "a" and 2 substituted for "b" to get ...
if x = 2, then 2 = x. . . . . . . symmetric property of equality
at 3:00a.m,the temperature is -5°F. Between 3:00a.m. and 6:00 a.m.,the temperature drops by 12°F. Between 6:00a.m. and 9:00a.m., the temperature rises by 4°F. What is the temperature at 9:00a.m.?
£2292.84 rounded to 2DP
The rounded solution of £2292.84 , is to two decimal places is £2292.84.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, we have,
given that,
£2292.84
its upto two decimal point.
so, rounded to two decimal point = £2292.84
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The number £2292.84, when rounded to two decimal places, remains unchanged as £2292.84 because the third digit after the decimal point is less than 5.
The student has asked to round the number £2292.84 to two decimal places. To round to two decimal places (2DP), you look at the third digit after the decimal point, which in this case is a 4. Since the third digit is less than 5, the second digit after the decimal point remains the same, and the number £2292.84 is already at two decimal places. Therefore, the rounded number is £2292.84.
Kevin is six years older than his twin sisters. The sum of the three children’s ages is the same as their 42 year old dad’s age. How old are the children?
The question involves solving a basic algebra problem to determine the ages of three children. By setting up an equation based on the given information, we find that each twin sister is 12 years old and Kevin is 18 years old.
Explanation:The question revolves around finding the ages of three children, Kevin and his twin sisters, given that Kevin is six years older than his twin sisters and the sum of their ages equals their father's age, who is 42 years old. First, let's denote the age of each twin sister as x. Since Kevin is six years older, his age will be x + 6. The sum of their ages equals their father's age, which is given as 42 years. Therefore, the equation to find their ages will be:
[tex]x + x + (x + 6) = 42[/tex]
This simplifies to:
3x + 6 = 42
Subtracting 6 from both sides gives:
3x = 36
Dividing by 3:
x = 12
So, the age of each twin sister is 12 years, and Kevin's age is 12 + 6 = 18 years.
Solve for L: S = B + 1/2L
Isolating L, it is found that the solution for L is given by:
[tex]L = 2(S - B)[/tex]
--------------------------
The equation is:
[tex]S = B + \frac{1}{2}L[/tex]
Leaving everything with L on one side, everything without on the other.
[tex]\frac{L}{2} = S - B[/tex]
[tex]L = 2(S - B)[/tex]
Which is the solution for L.
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Two angles in standard position that have the same terminal side are
There are two jars. One jar contains 2 red gum balls , 3 green gum balls ,and 1 yellow gumball.the other jar contains 2 blue balloons and 3 purple balloons . Jeff randomly draws one gumball and then balloon .what is the probability that he will draw a green gumball and a blue balloon?
A.1/15
B.2/15
C.1/5
D.3/10
Answer: 3/10 I had the same problem on a test and this was correct
Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without the tax?
For the cost of the cooler, solve:
106% of cost of cooler = $7.95
To find the total bill in terms of the cost of the cooler :
100% of cooler price
+ 6% of cooler price (tax)
--------------------------------------------
106% of cost (7.95)
Now, solve this problem.
106% of $ _______ = $7.95
Answer:
I JUST did the test and got it right so the answer is:
Step-by-step explanation:
7.95
A block of wood is 0.2 meters (m) by 0.1 m by 0.5 m. find its dimensions in centimeters
Find the square root of 25.
RS=5y+5, ST=3y+7, and RT=12y-20 what is the value of y?
Answer:
-12 or 8
Step-by-step explanation:
ABCD is a square. What is the measure of angle BAC?
A. 90°
B. 45°
C. 15°
D. 135°
a corner in a square is 90%
the angle BAC is half that
90/2 = 45 degrees
Answer:
The correct option is B.
Step-by-step explanation:
Given information: ABCD is a square.
According to the property of square,
1. The measure of all interior angles of the square is 90°.
2. Diagonals are angle bisector.
In the given figure ABCD is square, so
[tex]\angle DAB=90^{\circ}[/tex]
AC is a diagonal of ABCD.
[tex]\angle DAC=\angle BAC[/tex]
We can say that
[tex]\angle DAB=\angle DAC+\angle BAC[/tex]
[tex]\angle DAB=\angle BAC+\angle BAC[/tex]
[tex]\angle DAB=2\angle BAC[/tex]
[tex]90^{\circ}=2\angle BAC[/tex]
Divide both sides by 90.
[tex]\frac{90^{\circ}}{2}=\angle BAC[/tex]
[tex]35^{\circ}=\angle BAC[/tex]
The measure of angle BAC is 45°. Therefore the correct option is B.
The quantity demanded of a certain brand of DVD player is 3000/wk when the unit price is $485. For each decrease in unit price of $40 below $485, the quantity demanded increases by 500 units. The suppliers will not market any DVD players if the unit price is $334 or lower. But at a unit price of $559, they are willing to make available 2500 units in the market. The supply equation is also known to be linear.
What is the measure of FSM
The measure of angle FSM 92 degrees.
The given problem can be solved using the concept of Intersecting Lines, specifically the fact that vertical angles are equal.
Here, the angles WSU and FSM form vertical angles at point 'S' as the lines WM and FU intersect at this point.
Given that WSU = (5x+32) degrees and FSM = (7x+8) degrees, since they are vertical angles, we can set them equal to each other.
This gives, 5x + 32 = 7x + 8.
Now, by subtracting 5x from each side, we get 2x = 24.
Thus, dividing by 2 on both sides, we obtain 'x' as 12.
Substitute 'x' values in FSM = (7x+8) degree. So, FSM = (7*12+8) = 92 degrees.
Therefore, the measure of angle FSM is 92 degrees which makes the answer option A. Correct answer.
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The probable question may be:
Line WM and Line FU intersects each other at common point S
The angle between WSU is (5x+32) degree
The angle between FSM is (7x+8) degree
What is the measure of FSM
A. 92degree
B. 93 degree
C. 95 degree
D. 94 degree
Which point best approximates square root of 45
Answer:
The point best approximates √45 is C = 6.72
Step-by-step explanation:
We have to show the approximate square value of √45.
By solving √45 = √(5×9) = √5×√9 = 3√5 = 3×2.24 = 6.72
6.72 can be represented as point C on the given number line.
Help me with this math man
Determine the measures of the unknown labeled angles in the diagrams below:
The area of the irregular polygon is ____ square units.
The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find the height of the prism?
v = l x w x h
v = 2058
width = x
height = 2x
length = 3x
2058 = 3x*2x*x =
2058 = 6x^3=
343 = x^3
x = 7
2*7 = 14
3*7 = 21
21*14*7 = 2058
height is 14 cm
Eduardo is 16. Eduardo’s dad takes him and his younger sister to a soccer match. Tickets are $17 for adults and $13 for children (18 and under). Write an expression for the total cost of the tickets. What is the total cost of the tickets?
How many multiples of 5 are there between 81 and 358?
358-81 = 277
277/5 = 55.4
there are 55 multiples
A school offers two summer sports: lacrosse and tennis. There are 438 students in all. Of this number, 52 participate in lacrosse and 94 participate in tennis. Nobody does both. What fraction of the students participate in a sport? Write the fraction in simplest terms.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
We have been given that there are 438 students in all. Of this number, 52 participate in lacrosse and 94 participate in tennis.
Our required fraction would be:
[tex]\frac{\text{Students participant in lacrosse + Tennis}}{\text{Total students}}[/tex]
[tex]\frac{52+94}{438}[/tex]
[tex]\frac{146}{438}[/tex]
[tex]\frac{146*1}{146*3}[/tex]
[tex]\frac{1}{3}[/tex]
Therefore, our required fraction would be [tex]\frac{1}{3}[/tex].