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3 years ago

Which of the following is the algebraic representation for a translation 7 units left and 6 units up?

Mathematics

1 answer:

viktelen [127]3 years ago

4 0

Answer:

b. (x-7,+6)

Step-by-step explanation:

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Write the equation of a line with a slope of −2 and a y-intercept of 5

Aleonysh [2.5K]

Y or f(x) = -2x+5

the slope goes with the variable (x) and when the value of x is entered it makes a line, and the y-intercept is next to show where the point is on the y - line

8 0

3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

If 3 students make up 10% of the class, how many students are there total in the class?

stealth61 [152]

Answer:

30 students

Step-by-step explanation:

3 students = 10% of the class.

x students = 90% of the class.

(If more, less divides. Let x be the subject. Since we know 10% of the class already, we have to find the remaining 90% that is 100% - 10% = 90%.)

x = 90%/ 10% × 3 students. ( the percentage signs cancel out and so do the zero's.)

x= 9/1 × 3 students ( 9/1 is the same as 9)

x= 27 students

(To find the total, you must add the 10% of the students to the remaining 90% of the students in the class.)

Total number of students in the class = 27 students + 3 students

= 30 students

7 0

2 years ago

Question 3 (2 points)

Sveta_85 [38]

I believe the answer is a

5 0

2 years ago

The graph of line p represents y =1/5 x-1 . If the slope of line p is multiplied by -10 to

Katarina [22]

Answer:

use desmos its a graphing caculator that gives you exaxt graphing answers

5 0

2 years ago