Answer:
See below.
Step-by-step explanation:
Hi there!
We want to find the equation of the line that has a slope (m) of 1 and that passes through the point (-10, -6)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeSince we are given both a point and a slope in this situation, it makes sense to write the equation in point-slope form.
Let's label the values of everything we were given to avoid confusion and mistakes:
m=1
[tex]x_1=-10\\y_1=-6[/tex]
Now substitute these values into the equation (note: we have NEGATIVE numbers, while the formula gives SUBTRACTION, which is why we're subtracting a negative)
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y--6=1(x--10)[/tex]
Simplify:
y+6=1(x+10)
The equation can be left as this, or it can be converted into slope-intercept form if you wish.
In that case, we would distribute 1 to each number on the right side.
y+6=x+10
Then, we'll isolate y on one side. Subtract 6 from both sides.
y=x+4
You can also convert it into standard form if you would prefer it that way. To do that, start with slope-intercept form, which we earlier found as y=x+4
In standard form, x and y are on the same side. So subtract x from both sides to move it
-x+y=4
Remember we don't want a (the coefficient in front of x) to be negative. In order to flip the sign, multiply both sides by -1
x-y=-4
Therefore, the answer can be written as y+6=1(x+10), y=x+4, or x-y=4.
Hope this helps!
Solve the equation.
2x+4+8x=24
2x + 4 + 8x = 24
2x + 8x = 24 - 4
10x = 20
x = 20 ÷ 10
x = 2
____
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂ ❤
Answer:
[tex]\boxed{\boxed{\sf x=2}}[/tex]
Step-by-step explanation:
[tex]\sf 2x+4+8x=24[/tex]
Combine like terms:
[tex]\sf 2x+8x+4=24[/tex][tex]\sf 10x+4=24[/tex]Subtract 4 from both sides:
[tex]\sf 10x+4-4=24-4[/tex][tex]\sf 10x=20[/tex]Divide both sides by 10:
[tex]\sf \cfrac{10x}{10}=\cfrac{20}{10}[/tex][tex]\sf x=2[/tex]____________________________
2.) Functions or Not a Function? Explain?
Answer:
answer
Step-by-step explanation:
Not a function.
When x repeats, it is automatically not a function. If y repeats, it is still a function.
A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.
HELP!!!!! QUICK 100 pts to help me!!!!!! A 35 foot ladder rests against a window ledge that is 25 feet above the ground. How far is the base of the ladder from the base of the building? Round your answer to the nearest tenth. Show all work in the "show your work" box.
Answer:
24.5
Step-by-step explanation:
Apply the pythagorean theorem:
35^2-25^2=c^2
1225-625=c^2
600=c^2
c=24.5
Round 0.817446 to the ten-thousandths place.
Answer:
0.8174
Step-by-step explanation:
You just round up to the 4th to the right
Explain how to apply the substitution property of equality to the equation
a
+
42
=
b
if
a
=
−
16
and
b
=
26
.
Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.
Would appreciate brainliest <3
I need an emergency help plssssss! :(
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
[tex]\\ \sf\longmapsto \sqrt{X^{a-b}}\times \sqrt{X^{b-c}}\times \sqrt{X^{c-a}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}}\times X^{\frac{b-c}{2}}\times X^{\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b}{2}+\frac{b-c}{2}+\frac{c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-b+b-c+c-a}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{a-a+b-b+c-c}{2}}[/tex]
[tex]\\ \sf\longmapsto X^{\frac{0}{2}}[/tex]
[tex]\\ \sf\longmapsto X^0[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M
Answer: M = [tex]\frac{x-2y}{x+y}[/tex]
Step-by-step explanation:
[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]
M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)
M (x + y) = x + 2y - 4y
M (x + y) = x - 2y (Divide (x+y) from both sides)
M = [tex]\frac{x-2y}{x+y}[/tex]
Scott makes $12 per hour babysitting and $8 per hour working at the grocery store. He will need to make
at least $600 to buy a new computer
Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.
For babysitting, he earns $12 per hour.
For working at the grocery store, he earns $8 per hour.
So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.
He needs to make at least $600 to buy a new computer.
Therefore, we can write the equation:
12x + 8x ≥ 600
Combine the like terms:
20x ≥ 600
Now, solve for x by dividing both sides of the inequality by 20:
x ≥ 600 / 20
x ≥ 30
Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ3
Complete question:
"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"
x is an acute angle. Find the value of x in degrees. 3 sin(x) = 2. X =
Answer:
Step-by-step explanation:
square root (3)/2 = 1.732/2 = .86603
Sin(x) = 0.86603
x = sin-1(0.86603)
x = 60
Find the value of x so that the ratios 6 : x and 8 : 32 are equivalent.
Answer: The answer is 24
Step-by-step explanation:32/8 is 4. You just multiply 6 by 4.=24
Answer:
x = 24
Step-by-step explanation:
We require
[tex]\frac{6}{x}[/tex] = [tex]\frac{8}{32}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )
x = 6 × 4 = 24
can anyone help me solve this?
Step-by-step explanation:
a triangle,=180
so 68+35-180=77
then 77+68=145
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
math need helps i will brainliest
Answer:
81/256
Step-by-step explanation:
The exponent 4 is meaning how many times you have to multiply a number it is on top of.
So you need to multiply 3/4, 4 times by itself
So
3/4* 3/4* 3/4* 3/4
3 times 3 times 3 times 3 is 81
4 times 4 times 4 times 4 is 256
So the answer is 81/256
Hope this helps!
Any help would be appreciated
Answer:
10
Step-by-step explanation:
Bisect the 72° angle to get an exterior angle of 36°.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
360°/36° = 10
Answer: There are 10 sides.
how do you solve this
Answer:
See below:
Step-by-step explanation:
So, the first step to solving the problem is to find out what type of triangle it is
and what rule of goemetry we can use to solve it.
Finding What Theorem We Can Use
So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.
One Theorem used on the Isosceles Triangle is the Base Angles Theorem. This states that the bottom two angles of the sides on the Isosceles triangle are equal to each other. So in this case if we letter the triangle A on the top, B as the Left, and C as the right. It would say this:
[tex]<ABC= <ACB[/tex]
Since we know this rule, we can solve for the equation.
Solving
We can solve for this by using two things that we know:
+ Sum of all angles in a triangle is 180 degrees.
+ Bottom two sides are congruent.
Since we know that, we can solve for the answer:
[tex]1) <ABC + <BAC+<BCA=180\\2) <BAC = 80\\3) <ABC + <BCA=100\\4) 2<ABC=100\\5)<ABC=<BCA=50[/tex]
After solving, we know that x is 50 degrees!
Cheers!
(Feel free to comment a question if you didn't understand something!)
plz help!:> also your so awesome, and I hope you have an amazing day!
share 5,000 in the ratio of 1:2:3:4
Answer:
500 : 1000 : 1500 : 2000
Step-by-step explanation:
sum the parts of the ratio , 1 + 2 + 3 + 4 = 10 parts
Divide the amount by 10 to find the value of one part of the ratio
5000 ÷ 10 = 500 ← value of 1 part of the ratio , then
2 parts = 2 × 500 = 1000
3 parts = 3 × 500 = 1500
4 parts = 4 × 500 = 2000
5000 = 500 : 1000 : 1500 : 2000 in the ratio 1 : 2 : 3 : 4
Which inequality is a true statement?
Select each correct answer.
−4 = −5
−4 ≤ −5
−4 < −5
−4 > −5
−4 ≥ −5
Answer:
i think -4>-5
Step-by-step explanation:
because (-4)is greater than (-5)
how does adding with decimals cpmpare to adding whole number
Answer:
Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.
Step-by-step explanation:
Please help me marking brainless
Answer:
9/12 & 5/12
Step-by-step explanation:
You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12
How to find the theoretical mean and standard deviation using central limit therom.
Answer:
I can even see anything can you reupload your answer, please?
Step-by-step explanation:
What are the values of each variable?
Answer:
3x-10=x+15+25
3x-10=x+40
3x-x=40+10
2x=50
x=50/2
x=25
Can anyone solve this from 1 to 3?
Answer:
you know, you can't post more than one question
Step-by-step explanation:
When multiplying numbers with the same base you________ the exponents.
Answer:
add
Step-by-step explanation:
Answer:
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
Step-by-step explanation:
(a) 35.8 + 10 need answer
what is a trinomial?
Answer:
In elementary algebra, a trinomial is a polynomial consisting of three terms or monomials.
Answer:
An algebraic expression of three terms
Step-by-step explanation:
A trinomial consists of 3 terms connected to one another by + or - sign(s).
Examples: x^2 - 2x - 5 is a trinomial: Its 3 terms are arranged in descending order by powers of x.
A house on the market was valued at $478,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is
the current value of the house?
Answer:
$38240 increase$516240 current valueStep-by-step explanation:
Initial value of house is $478000
Change in value is 8% greater:
478000 + 8% = 478000 + 8*478000/100 = 478000 + 38240 =516240We need 8% of Value
[tex]\\ \sf\longmapsto 8\%\:of\;478000[/tex]
[tex]\\ \sf\longmapsto 0.08(478000)[/tex]
[tex]\\ \sf\longmapsto 38240\$[/tex]
Current value:-
[tex]\\ \sf\longmapsto 478000+38240=516240[/tex]
I am a student in 7th honers and was wondering if someone can help me learn the basics of pre-algebra because I understand none of it.
Answer:
I reccommend using an AoPS book. You can learn more at aops.com
Step-by-step explanation:
What is identity matrix.
Answer:
a square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.
