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2 years ago

In the diagram, line f is parallel to line , and line e intersects line and g.

Mathematics

1 answer:

Rama09 [41]2 years ago

5 0

Answer:

x=2°

Step-by-step explanation:

(5x+35)°=45° because they are alternative angle

5x+35°=45°

5x=45°-35°

5x=10°

x=10°/5

x=2°

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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

3 years ago

31<br>Write as a mixed number.<br>Give your answer in its simplest form.

makvit [3.9K]

Six divided by five maybe and add a 1

4 0

2 years ago

Write a fact with the same sum as 7+5

kozerog [31]

6+6
8+4
9+3
10+2
11+1
Hope this helps!

3 0

3 years ago

Read 2 more answers

–4.5t49.5t = 40<br> Please help

dlinn [17]

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

Multiply (-4.5t)(49.5t):

(-4.5t)(49.5t) = -222.75t

Now, write full equation:

-222.75t = 40

Isolate t by dividing -222.75 on both sides:

$\frac{-222.75}{-222.75}t=\frac{40}{-222.75}$

Cancel out left hand side:

$t=\frac{40}{-222.75}$

Simplify your answer:

$t=-0.17957351$

Approximate to 2 decimals:

$t=-0.18$

5 0

3 years ago

Nora has a ribbon that is 3/4 yard long. She will use 1/2 of it to make a bow. What length of the ribbon will she use for the bo

Elodia [21]

Answer:

Step-by-step explanation:

5 0

3 years ago