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3 years ago

Solve for a: 35= -7a+14

Mathematics

2 answers:

ANEK [815]3 years ago

6 0

Answer:

35= -7(-3)+14

Step-by-step explanation:

-7x-3

ankoles [38]3 years ago

4 0

-7a + 14 = 35
-7a + 14 - 14 = 35 - 14
-7a = 21
—- —-
-7 -7
a = -3

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

Help with math thanks so much!!!!

KatRina [158]

Answer:

0.2

Step-by-step explanation:

14/10÷x=7

14/10=7x

1.4±7=x

x=0.2

6 0

3 years ago

Which unit rate is the lowest price per ounce? Choice A: 6 ounces of raisins for $1.49 Choice B: 13 ounces of raisins for $3.59

Alborosie

1.49/6 = 0.248 rounds to 25 cents per oz
3.59 / 13 = 0.276 rounds to 28 cents per oz

choice A is the lowest rate

3 0

4 years ago

Read 2 more answers

Which is the best approximation for the measure of angle ABC?

Sliva [168]

Answer:

The best approximation for the measure of angle ABC is:

Third option: 58.3°

Step-by-step explanation:

This is a right triangle, because it has an angle of 90° (right angle) in vertex C, and we need one of the acute angles "x". We have the side opposite to the angle of 90° (right angle), this is the longest side in the right triangle, the Hypotenuse: H=20 cm

We have one of the legs (the sides form the right angle), and this leg is the Adjacent leg: A=10.5 cm to the angle "x".

To find the angle "x" we must use the trigonometric function that relates its adjacent leg (A) with the hypotenuse (H), and this function is cosine:

cos x = Adjacent Leg / Hypotenuse

cos x = A / H

Replacing the known values:

cos x = 10.5 cm / 20 cm

cos x = 0.525

Solving for x:

$x=cos^{-1} 0.525\\ x=58.33175678^{\°}$

Rounding to 1 decimal place:

x=58.3°

5 0

3 years ago

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Which of the following is either a median or an altitude?

Blizzard [7]

Answer:

PR is an altitude

QT is a median.

Step-by-step explanation:

The altitude is the perpendicular height and the median is a line from 1 vertex to the middle of the opposite side.

5 0

3 years ago