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2 years ago

Find the x-intercepts of the following parabola. y = -4x2 + 8x + 12

Mathematics

2 answers:

lions [1.4K]2 years ago

7 0

Answer:

Option B

Step-by-step explanation:

Equation of a parabola is given as y = -4x² + 8x + 12

We have to find the x-intercepts, of the parabola.

for any point on x-axis y coordinates will be zero.

So put placing y = 0 in the equation.

0 = -4x² + 8x + 12

-4(x² - 2x - 3) = 0

x² - 2x - 3 = 0

x² - 3x + x - 3 = 0

x ( x-3) + 1( x - 3) = 0

( x+1 ) ( x - 3 ) = 0

( x + 1 ) = 0 ⇒ ( x = -1 )

( x - 3 ) = 0 ⇒ ( x = 3 )

points on x-axis will be ( -1, 0 ) & ( 3, 0 )

Option B is the answer.

Marta_Voda [28]2 years ago

3 0

B. is the answer dude

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Please help ill mark brainliest!!!

Bingel [31]

Triangle QST is similar to triangle PQR

We are given that measure of angle SRP is 90°

Q is the point of the hypotenuse SP

Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s

We need to find which triangle is similar to triangle PQR

So,

Using Angle - Angle - Angle Criterion We can say that

m∠PQR = m∠SQR (AAA similarity)

m∠SQR=m∠SQT (AAA similarity)

Where m∠Q =90° in ΔQST and PQR

Therefore ΔQST is similar to ΔPQR

Learn more about similarity of triangles here

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8 0

1 year ago

Evaluate:<br> g(x) = 3•2x+2 + 3<br> g(3)

Studentka2010 [4]

Answer:23

Step-by-step explanation:

3·2（3）+2+3

=3·6+2+3

=23

6 0

3 years ago

Make t the subject of 5(t − g) = 2t + 7

Alla [95]

Answer:

$5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3}$

5 0

2 years ago

A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?

cupoosta [38]

Length of a carton :

$= \frac{22}{3} \: feet$

Width of the carton :

$= \frac{11}{8} \: feet$

Height of the carton :

$= \frac{11}{5} \: feet$

Volume of the carton :

= Length × Width × Height

$= \frac{22}{3} \times \frac{11}{8} \times \frac{11}{5}$

$= \frac{2622}{120}$

$\color{hotpink} = 21.85 \: feet$

Therefore, the volume of the carton = 21.85 feet.

7 0

2 years ago

Which of the following is the line of symmetry for the figure shown below?

scoray [572]

Answer:

Line A

Step-by-step explanation:

A line of symmetry is a line that divides a shape into exactly two equal halves.

A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.

From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.

7 0

2 years ago