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frez [133]
3 years ago
7

Please help me it’s urgent! I WILL MARK AS BRANLIEST!

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0

Answer:

(1,4)

Step-by-step explanation:

2x-3y=-10

y=4x

Since the y is already isolated, you can use substitution to find the answer to this equation. Simply replace any y values in the first equation with 4x:

2x-3(4x)=-10

2x-12x=-10

-10x=-10

x=1

y=4(1)=4

Hope this helps!

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Y = x² – 4 y = 2r + 4​<br><br>Solve algebraicallu for the solutions of equations below.
oksano4ka [1.4K]

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up!  (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus.  (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(1,134)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=1

Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

3 0
3 years ago
Write the equation of the line that passes through the points (-2,0) and (1,2).
Ierofanga [76]

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

5 0
3 years ago
toni bought an old bike for 50$. She fixed it up and sold it for $80. What percent of the original value was toni’s sale price
ikadub [295]
For this case what you must do is the following rule of three:
 50 ---> 100
 80 ----> x
 We clear x:
 x = (80/50) * (100)
 x = 160%
 160-100 = 60%
 Answer:
 toni added 60% of the original value for his sale price
3 0
3 years ago
Collins is working.......
lesya [120]
Let n represent the amount Colin earned on Sunday.

On Sat. he earned n/2; on Sun. he earned n; and on Friday he earned (1/2)(n/2).

Then n/2  +  n  + n/4 = $70

Mult. all terms by 4 to eliminate fractions:

2n + 4n + n = $280

7n = $280  =>  n = $40

Colin earned n/2, or $20, on Saturday; n, or $40, on Sunday; and n/4, or $10, on Friday.

Note that $20 and $40 and $10 add up to $70, as they must.
4 0
3 years ago
A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?
avanturin [10]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>cone </u><u>with </u><u>base </u><u>radius </u><u>9</u><u>m</u><u>m</u><u> </u><u>and </u><u>height </u><u>1</u><u>3</u><u> </u><u>mm</u>

  • To calculate - <u>volume </u><u>of </u><u>the </u><u>cone</u>

We know that ,

Volume \: of \: cone =  \frac{1}{3}\pi \: r {}^{2}  h \\

<u>su</u><u>b</u><u>stituting </u><u>the </u><u>values</u><u> </u><u>in </u><u>the </u><u>formula</u><u> </u><u>,</u>

Volume =  \frac{1}{3}  \times  3.14  \times 9 \times 9 \times 13 \\  \\  \implies \: 1.05 \times 81 \times 13 \\  \\ \implies \: 1105.65 \: mm {}^{3}

hope helpful ~

7 0
2 years ago
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