Answer:
The focus of the parabola is at the point (0, 2)
Step-by-step explanation:
Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."
Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)
Answer:
6
Step-by-step explanation:
So, to start answering this, lets recall the formula for a rectangles volume:
This formula is :
V=h*w*l
Lets plug in what we know, and solve for the missing variable.
We know that height(h) is 7.
We know that width(w) is 9.
We know that volume(V) is 378.
We are missing length(l)
So:
378=7*9*l
To find length(l), we must iscolate it.
To do this, we must get rid of the 7 and 9.
So lets start by dividing 378 by 9:
378/9=7*9/9*l
=
42=7*l
Now lets do the same thing with the 7 to iscolate l:
42/7=7/7*l
=
6=l
So our missing length(l) is 6.
Answer:
l = 6
Hope this helps!
Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.
<h3>
What are equations?</h3>
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, HL is a hypotenuse that will be congruent to the hypotenuse AC.
We know that HL is 3x + 3.
Ac is 15.
Then the equation will be:
3x + 3 = 15
Now, solve the equation to get x as follows:
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3
x = 4
Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.
Know more about equations here:
brainly.com/question/28937794
#SPJ4
Correct question:
For the triangles to be congruent by hl, what must be the value of x?
a. 8
b. 9
c. 17
d. 3
e. 4
Answer:
C.
Step-by-step explanation:
The equation would be -3 is less than 3(1)+1, which is 4. And -3 is less than 4.
(hope this helps!)
Answer:
(A) 22
(B) 12
Step-by-step explanation:
Jada makes sparkling juice by mixing 3 cups of sparkling water and 5 cups of Apple juice
(A) Jada uses 30 cups of Apple juice,the amount of sparkling water needed is
3+5
= 8
30-8
= 22
(B) 9+3
= 12