MATHEMATICS MIDDLE SCHOOL

What is the value of c in the equation y = 4x^2 -10x + c if the y-coordinate of the vertex is -7

Answers

Answer 1
Answer:

Answer: c=-(3)/(4)

Step-by-step explanation:

Find the x-coordinate of the vertex with this formula:

x=(-b)/(2a)

In this case:

a=4\nb=-10

Substituting values, we get:

x=(-(-10))/(2(4))=(5)/(4)

Now we can substitute the coordinates of the vertex into the equation y = 4x^2 -10x + c and then solve for "c".

Then:

-7 = 4((5)/(4))^2 -10((5)/(4)) + c\n\n-7+(25)/(4)=c\n\nc=-(3)/(4)

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Classify the following triangle
Identify the slope and y-intercept of the line 8x+2y=6

To the nearest hundredth of a centimeter, what is the length of the hypotenuse?

Answers

Side of the triangle is given as :- 32.63 cm

Angle formed by hypotenous and one side of triangle = 30°

We can solve this question by using cos30°

So,
= > cos30 = (32.63)/(hypotenuse) \n \n = > hypotenuse = (32.63)/( 0.866 ) \n \n = > hypotenuse = 37.679 \: \: \: \: (ans)
The hypotenuse would be equal to roughly 37.67 centimeters. 

In order to find this we use the cosine function and the adjacent side length. Then my cross multiplying and solving, we can get the answer. 

Cos( \alpha) = (ADJ)/(HYP)

Cos( 30) = (32.63)/(HYP)

.866(HYP) = 32.63

HYP = 37.67

What kind of slope is (6,-3)and (-4,-3)

Answers

Answer:

0

Step-by-step explanation:

Slope = y2- y1/x2 - x1

Given

x1 = 6

y1 = -3

x2 = -4

y2 = -3

Slope = -3 -(-3) /-4 - 6

= -3 + 3 /-10

= 0/10

= 0

This means that the line of the slope is horizontal

What is the value of 7/8 +3/4

Answers

Find the common denominator:

7/8+6/8
= 13/8 or 1 (5)/(8)
Since 3/4 equals 6/8, you do 7/8 + 6/8 = 11/8 and that can be simplified to 1 and 3/8 and put into decimal form like 1.375.

Write 1 mm of 2 m as a fraction

Answers

So, there are 10mm in a cm.

There are 100 cm in a metre. That means that there are 1,000mm in a metre.

This also means that there are 2,000mm in 2 metres.

Therefore 1mm of 2m is essentially:

1/2000 m

What is 35% of 98? I need Help with this problem?

Answers

35% of 98 is 34.3

Change the percentage (35) into a decimal by dividing over 100:

35 / 100 = 0.3

Multiply the decimal and 98:

0.35 × 98 = 34.3

The ratio of the rise to the run of the given triangle is __The ratio of the rise to the run of the image triangle is __
Notes: the given triangle is the blue triangle and the red triangle is the image. sorry if it's a little small

Answers

The ratio of the slopevalues for the given and image triangles are 5/3 and 2.5 respectively.

How to determine the ratio of the slopes from the graph

Using the information on the graph given ;

For the given triangle ;

  • (2, 3) ; (0, -2)

Rise = change in y

  • Rise = (-2 - 3) = -5

Run = changein x

  • Run = 0 - 3 = -3

The ratio;

  • -5/-3 = 5/3

For the image triangle ;

  • (4, 8) ; (0, -2)

Rise = change in y

  • Rise = (-2 - 8) = -10

Run = change in x

  • Run = 0 - 4 = -4

The ratio ;

  • -10/-4 = 2.5

Learn more on slope: brainly.com/question/3493733

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Answer:

1) 5/2 or 2.5

2) 5/2 or 2.5

Step-by-step explanation:

1) 5/2 = 2.5

2) 10/4 = 5/2 = 2.5

Because the hypotenuse of both are the segments of the same line and straight lines have the same gradient for all segments
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