We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse
x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x
x^2+36=100 Square each individual term
x^2+=100+36 Subtract 36 from both sides
x^2=64 Combine like terms
sqrt(2)=sqrt(64) Take the square root of both sides
x = 8 Simplify the square root
So our answer is x = 8
The ladder touches the 8 feet mark on the wall.
Answer:
The correct answer is 24
Step-by-step explanation:
to solve this you will need to use the pathagreom theorum
a^{2}+b^{2}=c^{2}
A= one side lenth
B= the secons side lenth
C= hypotnuse
It is helpfull to draw out the situation
you know that the latter is 25 ft, that is your hypotnuse
you also know that the 7 ft away from the base of the building is one of the side lenths, lets call it side a
so plug the numbers into the equation
7^2 + b^2 = 25 ^2
you leave b^2 alone because that is the side you are trying to find
now square 7 and 25 but leave b^2 alone
49 + b^2 = 625
now subtract 49 from both sides
b^2 = 576
now to get rid of the square of b you have to do the opposite and square root both sides removing the square of the B and giving you the answer of..........
B= 24
Hope this helped!! I tryed to explain it as simpil as possiable
Answer:
She can buy 0 to 11.75 pounds of tomatoes.
Step-by-step explanation:
Consider the provided information.
It is given that Susan can spend no more than $30 on ingredients. She buys all ingredients except for tomatoes for $6.50. Tomatoes cost $2 per pound.
It means she can only spend less than or equal to $30. Let x be the pounds of tomatoes she can buy.
So, the required inequality should be:
Now simplify the inequality.
Hence, she can buy 0 to 11.75 pounds of tomatoes.
Answer:
y=mx+b is slope-intercept form
where m is the slop, and b is the y intercept
if m is the slop then we can plug that into the equation
y=2x+b
next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.
y=2x+0
eliminate the 0
y=2x is your equation
Step-by-step explanation:
Answer:
7(x+1)^2 - 3
Step-by-step explanation:
To Write in The Vertex Form Simply means expressing the equation using completing of the square method
step 1: Make the coefficient of x^2 to 1
7 [x^2 + 2x + 4/7]
step 2: express the coefficient of x as half's of positive and negative
7 [x^2 + 2x + (1)^1 - (1)^1 + 4/7]
step 3: separate the negative part and the constant to solve then correct x^2 and 1^2 together
7 [ (x+1)^2 -3/7 ]
step 4 : distribute the 7
7(x + 1)^2 - 3